Mathematics
M is the mid-point of a line segment AB; AXB and MYB are equilateral triangles on opposite sides of AB; XY cuts AB at Z. Prove that : AZ = 2ZB.

Related Questions
Find :
(i) equation of AB
(ii) equation of CD

A line through point P(4, 3) meets x-axis at point A and the y-axis at point B. If BP is double of PA, find the equation of AB.
In the given figure, if AC = 3 cm and CB = 6 cm, find the length of CR.

The given figure shows a trapezium in which AB is parallel to DC and diagonals AC and BD intersect at point O. If BO : OD = 4 : 7, find :

(i) △AOD : △AOB
(ii) △AOB : △ACB
(iii) △DOC : △AOB
(iv) △ABD : △BOC