Section – A (1 marks)
1. Abscissa of all the points on the x-axis is
(A) 0 (B) 1(C) 2 (D) any number
2. Ordinate of all points on the x-axis is
(A) 0 (B) 1 (C) – 1 (D) any number
3. Any point on the y-axis is of the form
(A) (x, 0) (B) (x, y) (C) (0, y) (D) ( y, y)
4. Any point on the y-axis is of the form
(A) (x, 0) (B) (x, y) (C) (0, y) (D) ( y, y)
5. The things which are double of the same thing are
(A) equal (B) unequal (C) halves of the same thing (D) double of the same thing
Section-B ( 4 marks)
1. A point lies on the x-axis at a distance of 7 units from the y-axis. What are its coordinates? What will be the coordinates if it lies on y-axis at a distance of –7 units from x-axis?
2. If the point (3, 4) lies on the graph of 3y = ax + 7, then find the value of a
3. A triangle ABC is right angled at A. L is a point on BC such that AL ^ BC. Prove that ∠< BAL = ∠ <ACB.
4. Two lines are respectively perpendicular to two parallel lines. Show that they are parallel to each other.
5. If the sum of two adjacent angles is 180°, then the non-common arms of the angles form a line.
6. Ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of ∠ POS and ∠ SOQ, respectively. If ∠ POS = x, find ∠ ROT.
7. POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that ∠< ROS = 1/2 (∠ <QOS – ∠< POS).
8. The sides AB and AC of D ABC are produced to points E and D respectively. If bisectors BO and CO of ∠< CBE and ∠ < BCD respectively meet at point O, then prove that ∠< BOC = 90° –1/2<∠BAC.
9. The side QR of D PQR is produced to a point S. If the bisectors of ∠< PQR and<∠ PRS meet at point T, then prove that <∠ QTR =1/2<∠ QPR.
10. Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case: (i) 2x + 3y = 9.35 (ii) x –y/5 – 10 = 0
1. Abscissa of all the points on the x-axis is
(A) 0 (B) 1(C) 2 (D) any number
2. Ordinate of all points on the x-axis is
(A) 0 (B) 1 (C) – 1 (D) any number
3. Any point on the y-axis is of the form
(A) (x, 0) (B) (x, y) (C) (0, y) (D) ( y, y)
4. Any point on the y-axis is of the form
(A) (x, 0) (B) (x, y) (C) (0, y) (D) ( y, y)
5. The things which are double of the same thing are
(A) equal (B) unequal (C) halves of the same thing (D) double of the same thing
Section-B ( 4 marks)
1. A point lies on the x-axis at a distance of 7 units from the y-axis. What are its coordinates? What will be the coordinates if it lies on y-axis at a distance of –7 units from x-axis?
2. If the point (3, 4) lies on the graph of 3y = ax + 7, then find the value of a
3. A triangle ABC is right angled at A. L is a point on BC such that AL ^ BC. Prove that ∠< BAL = ∠ <ACB.
4. Two lines are respectively perpendicular to two parallel lines. Show that they are parallel to each other.
5. If the sum of two adjacent angles is 180°, then the non-common arms of the angles form a line.
6. Ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of ∠ POS and ∠ SOQ, respectively. If ∠ POS = x, find ∠ ROT.
7. POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that ∠< ROS = 1/2 (∠ <QOS – ∠< POS).
8. The sides AB and AC of D ABC are produced to points E and D respectively. If bisectors BO and CO of ∠< CBE and ∠ < BCD respectively meet at point O, then prove that ∠< BOC = 90° –1/2<∠BAC.
9. The side QR of D PQR is produced to a point S. If the bisectors of ∠< PQR and<∠ PRS meet at point T, then prove that <∠ QTR =1/2<∠ QPR.
10. Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case: (i) 2x + 3y = 9.35 (ii) x –y/5 – 10 = 0
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