Tuesday, March 29, 2011
CBSE MATH STUDY: Quadrilaterals
CBSE MATH STUDY: Quadrilaterals: "Quadrilaterals Prove that followings:1. A diagonal of a parallelogram divides it into two congruent triangles.2.&nb..."
MATH ADDA "10TH MATHS BY JSUNIL": Chapter 12: Trigonometry -Trigonometry Identities
MATH ADDA "10TH MATHS BY JSUNIL": Chapter 12: Trigonometry -Trigonometry Identities: "CBSE Maths eBooks Let us take any acute angle taking point P on OB we draw perpendicular PQ on OAB. Thus we have a right angled triangle O..."
MATH ADDA "10TH MATHS BY JSUNIL": All India Engineering / Architecture Entrance Exam...
MATH ADDA "10TH MATHS BY JSUNIL": All India Engineering / Architecture Entrance Exam...: "Q. 21. Let and let , where Then Sol :Q. 22. A person is to count 4500 currency notes. L..."
MATH ADDA "10TH MATHS BY JSUNIL": sample paper FIRST TERM EXAMINATION
MATH ADDA "10TH MATHS BY JSUNIL": sample paper 2012 FIRST TERM EXAMINATION: "For science sample paper visit CBSE ADDA jsunilclasses.weebly.com JSUNIL CL..."
MATH ADDA "10TH MATHS BY JSUNIL": Number System
MATH ADDA "10TH MATHS BY JSUNIL": 10th Number System: "For more math online E-book study visit : Cbse Mathematics "
Sunday, March 27, 2011
CBSE MATH COMPLETE STUDY: Number System
CBSE MATH COMPLETE STUDY: Number System: "For more math online E-book study visit : Cbse Mathematics "
sample paper FIRST TERM EXAMINATION
For science sample paper visit CBSE ADDA
M.M : - 80 MATHEMATICS(X) -2011-12 TIME : - 3 hrs.
SECTION – A
1. State Euclid
2. If one zero of polynomial 5x2+13x+a is reciprocal of the other, find the value of other.
3. In ΔABC, DE||BC meeting AB at D and AC at E. If AB/BD= 4and CE = 2 cm,
find the length of AE.
4. If 4 cotA = 3, find the value of (sinA- 4cos) / (sinA+ 4cos)
5. Find the value of 4cot2θ − 4cos ec2θ .
6. Find the value of sin 36 / 2cos54 - 2sec 41/3cos ec49
7. Why is 11/30a non‐terminating decimal number?
8. Find he value of ‘k’ if following system of equations has no solutions: 3x-y-5=0 ; 6x-2y-k=0.
9. If cosA = 3/5, find 9cot2 A−1.
10. The point of intersection of o gives is given by ( 20.5, 30.4). What is median ?
SECTION – B
11. Is 7×5×3×2+3 a composite number. Justify your answer.
12. Find the zeros of polynomial 7x2 −6−11x and verify the relation between zeros and coefficients of polynomial.
13. Solve for x and y : a/x- b/y = 0; ab2/x - a b /y= a2 + b2
14. Find A if sin(A+36)=cosA,where A+36 is acute angle.
15. In figure EF || DC|| AB, prove that ED/ AE = FC/BF
17. Find the mode marks from following data:
Marks Obtained 0-10 10-20 20-30 30-40 40-50
No. of Students 6 8 5 4 4
18. Following table gives the scores of 100 candidates in an entrance examination: Find mode.
Marks 100-150 150-200 200-250 250-300 300-350 350-400
No. of Students 16 15 14 32 11 12
19. Show that any positive odd integer is of the form 6p+1 or 6p+5, where p is some integer.
20. show that 5−2Ö3 is irrational number.OR Show that 5Ö2 / 3
21. A number consists of two digits whose sum is 9. If 27 is added to the number, the digits are interchanged. Find the number.
22. Obtain all zeros of polynomial x4+x3−34x2−4x+120 if two of its zeros are 2 and -2.
23. prove that: cos / (1+sinA) + (1+ sinA) /cosA= 2sec
24. If cosθ +sinθ = 2 cosθ , then show that cosθ −sinθ = 2 sinθ .
25. D is any point on the side BC of Δ ABC such that <ADC = <BAC .Prove that
CA /CD=CB/CA.
26. Δ ABC and Δ DBC are on the same base BC. AD and BC intersect at O.
Prove that ar DABC / ar DDBC = AO/ DO.
27. Using step deviation method, calculate arithmetic mean of the following:
Class Interval 0-20 20- 40 40-60 60-80 80-100 100-120
Frequency 20 35 52 44 38 31
OR , Find the value of ‘p’ if mean of following data is 53.
Class 0-20 20-40 40-60 60-80 80-100
Frequency 12 15 32 p 13
frequency 7 14 13 12 20 11 15 8
29. On dividing P(x) = 3x3−2x2+5x−5 by a polynomial g(x), we get quotient and remainder as
x2 − x + 2 and-7 respectively. Find g(x).
OR (sec. cosec(90-A ) tan .cot(90-A ) + (sin255+ sin235) ¸ (tan10. tan 20. tan30. tan70. tan80)
31. Prove that in a triangle the line drawn parallel to one side ,divides the other two sides proportionally.
32. If x = psecθ+qtanθ and y=p tanθ + q secθ , prove that x2−y2 = p2−q2.
33. On the same axes draw the graph of each of the following equations :
2x – y +1 =0 , x – 5y +14 =0 ; x – 2y +8=0.
Hence shade the region of the triangle so formed.
Expenses 0-5 5-10 10-15 15-20 20-25 25-30 30-35
No. of students. 5 15 20 10 10 15 5
JSUNIL TUTORIAL Mob. : 9835859669
Also visit Cbse Mathematics - Home and CBSE MATH COMPLETE STUDY
CBSE Class X (Mathematics) Board Exam - 2012 Probability
JSUNIL TUTORIAL PANJABI COLONY GALI 01CBSE Class X (Mathematics) Board Exam - 2012
Q. 1. What is the probability of getting 53 Tuesdays in a year ?
Q. 2. What is probability of getting 53 Mondays in a leap year ?
Q. 3. What is the probability that two people have same birthday ?
Q. 4. What is the probability that two people have different birthday ?
Q. 5. If a card is drawn from a well suffeled deck of 52 cards then what is the probability of getting a face card ?
Q. 6. If probability of happening of an event is 0.09. what wiil be probability of not happening of that event ?
Q. 7. What is the probability of a certain event ?
Q. 8. What is the probability of an impossible event?
Q. 9. A coin is tossed twice . What will be the probability of getting at most two heads ?
Q. 10. A coin is tossed twice . What will be the probability of getting at least one tail.
Q. 11. If a die thrown once, what will be the probability of getting a prime even number ?
Q. 12. If a die is thrown twice, what will be the probability of getting a doublet ?
Q. 13. If a die is thrown twice , what will be the probability of getting a pair of prime numbers ?
Q. 14. If a card is drawn from a deck of 52 cards, what will the probability of getting a black king ?
Q. 15. King and queen of spade are removed from a deck of 52 cards and then a card is drawn, what will be the probability of getting a red king ?
CBSE MATH COMPLETE STUDY: Chapter 12: Trigonometry -Trigonometry Identities
CBSE MATH COMPLETE STUDY: Chapter 12: Trigonometry -Trigonometry Identities: "CBSE Maths eBooks Let us take any acute angle taking point P on OB we draw perpendicular PQ on OAB. Thus we have a right angled triangle O..."
cbse math assignment Linear Equations in two variables in two variables
1. If twice the son’s age in years is added to the age of his father the sum is 90. If twice the father’s age in year is added to the age of the son, the sun in 120. Find their ages.
2. Ram is three times as old as Rahim. Five years later, Ram will be two-and-a –half times as old as Rahim. How old are Ram and Rahim now?
3. If the numerator of a fraction is multiplied by 2 and its denominator is increased by 2, it becomes 6/7. If instead we multiply the denominator by 2 and increase the numerator by 2 it reduces to 1/2. What is the fraction?
4. A fraction becomes 4/5 if 1 is added to each of the numerator and the denominator. However, if we subtract 5 from each, the fraction becomes 1/2 find the fraction.
5. If we add 1 in the numerator of a fraction and subtract 1 from its denominator, the fraction becomes 1, It is also given that the fraction becomes 1/2 when we add 1 to its denominator, and then what is the fraction.
6. If we add 5 to the denominator and subtract 5 from the numerator of fraction, it reduces to 1/7 if we subtract 3 from the numerator and add 3 to its denominator it reduces to 1/3. Find the fraction.
7. The denominator of a fraction is 4 more than twice the numerator. When both the numerator and denominator are decreased by 6, then the denominator becomes 12 times the numerator. Determine the fraction.
8. The sum of the numerator and denominator of a fraction is 4 more than twice the numerator if the numerator and denominator are increased by 3, they are is the ratio 2 : 3. Determine the fraction.
9. Two audio cassettes and three video cassettes cost Rs. 340. but three audio cassettes and two video cassettes cost Rs 260. Find the price of an audio cassettes and that of a video cassettes.
10. Mala purchased 5 chairs and 2 tables for Rs. 1625. Reshma purchased 2 chairs and 1 table for Rs. 750. Find the cost per chair and per table.
11. If we buy 2 tickets from station A to station B, and 3 tickets from station A to station C, we have to pay Rs 795. but 3 ticket from station A to B and 5 ticket from station A to C cost a total of Rs 1300. What is the fare from station A to B and that from station A to
C?
12. Aman travels 370 km partly by train and partly by car if he covers 250 km by train and the rest by car, it takes him 4 hours but if he travels 130 km by train and the rest by car, he takes 18 minutes longer. Find the speed of the train and that of the car.
13. The area of a rectangle get reduced by 9 square unit, if its length is reduced by 5 unit and the breadth is increased by 3unit if we increase the length by 3 unit and the breadth by 2 units, then the area is increased by 67 square unit. Find the length and the breadth of the rectangle.
14. If in a rectangle, the length is increased and the breadth is reduced by 2 units each, the area is reduced by 28 square units. If the length is reduced by 1 unit, and breadth increased by 2 units, the area increases by 33 square units. Find the dimensions of the rectangle.
15. The area of a rectangle gets reduced by 80 sq. units if its length is reduced by 5 units and the breadth in increased by 2 units. If we increase the length by 10 units and decrease the breadth by 5 units, the area in creased by 50 square units. Find the length and breadth of the rectangle.
16. A person starts his job with a certain monthly salary and earns a find increment every year. If his salary was Rs. 4500 after 4 years of service and Rs. 5400 after. 10 years of service, find his initial salary and the annual increment.
17. taxi charges consists of fixed charges and the remaining depending upon the distance traveled 70 km, he pay s Rs. 500 and for traveling 100 km, he pays Rs 680 express the above statements with the help of simultaneous equations and hence find the fixed charges and the rate per km.
18. The total expenditure per month of a house hold consists of a fixed rent of the house and the mess charge depending upon the number of people sharing the house. The total monthly expenditure is Rs. 3,900 for 2 people and Rs. 7,500 for 5 people. Find the rent of the house and the mess charges per head per month.
19. A railway half- ticket costs half the full fare but the reservation charges are the same on a half- ticket as on a full ticket one reserved first class ticket from station A to station B costs Rs. 2125. Also, one reserved first class ticket and one reserved half first class ticket from A to B cost Rs. 3200. find the full fare from station A to B and also the reservation charges for a ticket.
20. The sum of the digits of a two- digit number is 8. The number obtained by inter changing the two digits exceeds the given number by 36. find the number.
21. The sum of the digits of a two digits number is 9. Also, nine times this number is twice the number obtained by reversing the order of the digits of the number. Find the number.
22. Seven times a two digits number is the same as four times the number obtained on interchanging the digits of the given number. If one digit of the given number exceeds the other by 3, find the number.
23. A two digit number is obtained by either multiplying the sum of the digits by 8 and adding 1, or by multiplying the difference of the digits by 13 and adding 2. Find the number. How many such numbers are there?
24. A two- digits number is 4 times the sum of its digits. If 18 is added to the number, the digits are revered. Find the number.
25. A two- digits number is 4 more than 6 times the sum of its digits. If 18 is subtracted from the number the digits are reversed. Find the number.
26. The sum of a two digit number and the number formed by interchanging its digits is 110. if 10 is subtracted from the first number, the new number is 4 more than 5 times the sum of the digits in the first number. find the first number.
27. The sum of a two digits number and the number formed by interchanging the digits is 132. If 12 is added to the number, the new number becomes 5 times the sum of the digits. Find the number.
28. A number consists of two digits is seven times he sum of its digits. When 27 is subtracted from the number, the digits are reversed. Find the number.
29. A number consists of two digits. When it is divided by the sum of the digits, the quotient is 7. If 27 is subtracted from the number, the digits are reversed. Find the number.
30. A number consists of two digits when it is divided by sum of the digits, the quotient is 6 with no remainder. When the number is diminished by 9, the digits are reversed. Find the number.
| Answer |
CBSE MATH TEST PAPER ON LINEAR EQUATIONS
CBSE MATH TEST PAPER ON LINEAR EQUATIONS
1. For what value of k will the following system of linear equations have no solution?
8. x + y = 7, 5x + 12y = 7
9. 3x - 4y = 1, 4x - 3y = 6
10. x + y/2 = 4, x/3 + 2y = 5
11. x/3 + y/4 = 4, 5x/6 - y/8 = 4
12. 2/x + 2/3y = 1/6, 3/x + 2/y = 0
13. 2u + 15v = 17uv, 5u + 5v = 36uv
14. 3(a + 3b) = 11ab, 3(2a +b) = 7ab
15. 2x/a + y/b = 2, x/a - y/b = 4
16. x/a - y/b = 0, ax + by = a2 + b2
17. (a - b)x + (a +b)y = a2 - 2ab - b2, (a +b) (x + y) = a2 + b2
18. x/a + y/b = a +b, x/a2 + y/b2 = 2
19. ax + by = c, bx + ay = 1 + c
20. x + y = a - b, ax - by = a2 + b2
1. For what value of k will the following system of linear equations have no solution?
3x + y = 1, (2k - 1)x + (k - 1)y = 2k +1
2. Determine the value of c for which the following system of linear equations has no solution:
cx + 3y = 3; 12x + cy = 6
3. For what value of k will the system of equations
x + 2y = 5; 3x + ky + 15 = 0
has (i) unique solution (ii) no solution.
4. For what value of k, the following system of equations have (i) a unique solution, (ii) no solutions:
kx + 2y = 5; 3x - 4y = 10
5. Find the value of a and b for which the following system of linear equations has infinite numbers of solutions:
2x - 3y = 7
(a + b)x - (a + b - 3)y = 4a + b.)
Solve the following system of linear equations
6. For the value of k, for which the following system of linear equations has in finite number of solutions:
2x + 3y = 7
(k - 1) x + (k +2)y = 3k
solve the following system of linear equations:
7. 3x - 5y = -1, x - y = -1
8. x + y = 7, 5x + 12y = 7
9. 3x - 4y = 1, 4x - 3y = 6
10. x + y/2 = 4, x/3 + 2y = 5
11. x/3 + y/4 = 4, 5x/6 - y/8 = 4
12. 2/x + 2/3y = 1/6, 3/x + 2/y = 0
13. 2u + 15v = 17uv, 5u + 5v = 36uv
14. 3(a + 3b) = 11ab, 3(2a +b) = 7ab
15. 2x/a + y/b = 2, x/a - y/b = 4
16. x/a - y/b = 0, ax + by = a2 + b2
17. (a - b)x + (a +b)y = a2 - 2ab - b2, (a +b) (x + y) = a2 + b2
18. x/a + y/b = a +b, x/a2 + y/b2 = 2
19. ax + by = c, bx + ay = 1 + c
20. x + y = a - b, ax - by = a2 + b2
CBSE MATH COMPLETE STUDY: LINER EQUATION CLASS
CBSE MATH COMPLETE STUDY: LINER EQUATION CLASS: "Linear equation in two variables can be written as and a, b and c are real numbers.This equation has infinitely many solution. When we..."
Subscribe to:
Posts (Atom)
LinkWithin
