Through the mid-point M of the side CD of a parallelogram ABCD, the line BM is drawn intersecting AC in L and AD (produced) in E. Prove that EL = 2BL.
CBSE [2023]
Hard
Q2:
If ∆ABC ~ ∆PQR with ∠A = 32° and ∠R = 65°, then find the measure of ° ∠B
CBSE [2023]
Easy
Q3:
The discus throw is an event in which an athlete attempts to throw a discus. The athlete spins anti-clockwise around one and a half times through a circle, then releases the throw. When released, the discus travels along tangent to the circular spin orbit.
In the given figure, Ab is one such tangent to a circle of radius 75 cm. Point O is centre of the circle and ∠ABO = 30°. PQ is parallel to OA.
Based on the above information :
(a) find the length of AB.
(b) find the length of OB.
(c) find the length of AP
OR
find the length of PQ.
CBSE [2023]
Medium
Q4:
In the given figure, XZ is parallel to BC. AZ = 3cm, ZC = 2cm, BM = 3cm and MC = 5cm. Find the length of XY.