Question

What is the relation between AM and MB in the given figure?

• A. 1:1
• B. 1:2
• C. 1:3
• D. 1:4

Answer 1

The correct option is A

1:1

In the given figure, consider ΔOAM and ΔOBM.

OA = OB [Radii of the same circle]

OM = OM [Common Side]

OMA = OMB = ${90}^{\circ }$ [OM$\perp$AB]

$\Rightarrow$ $\Delta$OAM $\cong$ $\Delta$OBM by RHS similarity criterion.

$\therefore$ AM = MB (By C.P.C.T)