Q 1. If two parallel lines are intersected by a transversal, then each pair of corresponding angles so formed is
(a) Equal
(b) Complementary
(c) Supplementary
(d) None of these
Q 2. Which of the following equation has graph parallel to y-axis?
(a) y = – 2
(b) x = 1
(c) x y – = 2
(d) x y + = 2
Q 3. The sides of a triangular field are 51 m, 37 m and 20 m. Find the number of flower beds that can be prepared, if each bed is to occupy 9 m2 of space.
Q 4. In the adjoining figure, ABCD is a parallelogram. Then its area is equal to
(a) 9cm2
(b) 12 cm 2
(c) 15 Cm 2
(d) 36 cm 2
Q 5. An isosceles right triangle has area 8 cm2. Find the length of its hypotenuse.
Or
The base of a right triangle is 8 cm and hypotenuse is 10 cm. What is its area?
Q 6. The point for which the abscissa and ordinate have same signs will lie in.
(a) I and II quadrants
(b) I and III quadrants
(c) I and IV quadrants
(d) III and IV quadrants
Q 7. The hollow sphere, in which the circus motorcyclist performs his stunt, has a diameter of 7 m. Find the area available to the motorcyclist for riding?
Q 8. Which of the following statements is true?
(a) In a parallelogram, the diagonals are equal.
(b) In a parallelogram, the diagonals bisect each other.
(c) In a parallelogram, the diagonals intersect each other at right angles.
(d) In any quadrilateral, if a pair of opposite sides are equal, it is parallelogram.
Q 9. The area of the base of a right circular cylinder is 154 cm2 and its height is 15 cm. Find the volume of the cylinder.
Q 10. A chord of a circle is equal to its radius. Find the angle subtended by this chord at a point in major segment.
Q 11. A solid right circular cone of radius 4 cm and height 7 cm is melted to form a sphere. Find the radius of sphere.
Or
The sides of a triangle are in the ratio 3 : 5 : 7 and its perimeter is 300 m. Find its area.
Q 12. The sides of a triangular park are 8 m, 10 m and 6 m respectively. A small circular area of diameter 2 m is to be left out and the remaining area is to be used for growing roses. How much area is used for growing roses ?
Q 13. In the given figure, ∠ADC = 130º and chord BC = chord BE . Find ∠CBE
Q 14. P is a point on the bisector of ∠ABC . If the line through P, parallel to BA meet BC at Q, prove that BPQ is an isosceles triangle
Q 15. In quadrilateral PQRS, if ∠P = 60º and ∠Q:∠R :∠S = 2: 3: 7, then find the value of +S .