Question

if a line interests two concentric cries with centre A in points P,Q,R and S respectively Prove that PQ=RS​

Answer 1

Solution:

To prove:

PQ=RS

Proof:

Perpendicular from the centre of the circle bisects the chord.

QT=RT and .............(i)

PT=ST ................(ii)

Now,

Subtract eqn(i) from eqn.(ii), we get

PT−QT=ST−RT

or, PQ=RS

Proved.

Answer 2

Step-by-step explanation:

Solution:

To prove:

PQ=RS

Proof:

Perpendicular from the centre of the circle bisects the chord.

QT=RT and .............(i)

PT=ST ................(ii)

Now,

Subtract eqn(i) from eqn.(ii), we get

PT−QT=ST−RT

or, PQ=RS

Proved.

Hope it helps....