Sunday, March 27, 2011

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?
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
Answers
(1) 2(2) 6(3) (i)  (ii) 
(4) (i)  (ii) (5) a = -5, b = -1(6) 7(7) -2, -1
(8) 11, -4
(13) 5, 1/7
(9) 3, 2
(14) 1, 3/2
(10) 3, 2
(15) 2a, -2b
(11) 6, 8
(16) a, b
(12) 6, -4
(17) a +b, -2ab/(a + b)
(18) a2, b2(19) (bc - ac + b)/(b2 - a2), (bc - ac - a)/(b2 - a2 )

1 comment:

  1. Test papers are the key of success and in my opinion linear equation is a type of algebraic equation in which each term can be a constant or can be product of the constant and its the first order equation.
    Are All Linear Equations Functions

    ReplyDelete

LinkWithin

Related Posts Plugin for WordPress, Blogger...