APEX INSTITUTE SCIENCE & MATHEMATICS
SUNDAY TEST
Time allotted: 60 minutes Max marks: 30
INSTRUCTIONS:
· There are 5 subjective questions in this quiz
· All the question are compulsory
1. ABCD is a trapezium in which AB || CD and AD = BC (see Fig.). Show that
(i) 
A = B
(ii) C = D
(iii) Δ ABC 
Δ BAD
(iv) diagonal AC = diagonal BD
2. The velocity of a particle of mass 150 g changes from 8 m/s to 12 m/s in two seconds. Assuming that a constant force acts on it, find the magnitude of the force.
3. Prove that the straight line joining the mid points of the diagonals of a trapezium is half the difference of its parallel sides.
4. In the figure given below, ABCD is a parallelogram and the bisector of ÐA bisects BC at X. Prove that AD = 2AB.
5. A ball of mass 100 g and another ball of 120 g moves towards each other with speeds 6 m/s and 5 m/s respectively. If they stick to each other after colliding, What would be the velocity of the combined mass after the collision?
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