Question

S1: AM = $\frac{AP}{2}$, BN= $\frac{BP}{2}$

S2: OO' = AM + BN

Which of the above statements are true?

• A. Only S1 is true.
• B. Only S2 is true.
• C. Both statements are true.
• D. S1 is true & S2 is false.

Answer 1

The correct option is C

Both statements are true.

S1 is true as the perpendicular from the Centre of the circle bisects the chord into two parts.

Therefore AM = $\frac{AP}{2}$, BN = $\frac{BP}{2}$

& OO’ = MN

= PM + PN

= AM + BN (as PM = AM & PN = BN)