Question

This voucher type is used to book
deposit of cash in the bank
O Journal Voucher
O Receipt Voucher
O Contra voucher
O Blank voucher​

Answer 1

Answer:

Given: Two concentric circles C

1

and C

2

with centre O, and AB is the chord of C

1

touching C

2

at C.

To prove: AC=CB

Construction: Join OC.

Proof: AB is the chord of C

1

touching C

2

at C, then AB is the tangent to C

2

at C with OC as its radius.

We know that the tangent at any point of a circle is perpendicular to the radius through the point of contact.

Therefore, OC⊥AB

Considering, AB as the chord of the circle C

1

. So, OC⊥AB.

Therefore,OC is the bisector of the chord AB.

Hence, AC=CB (Perpendicular from the centre to the chord bisects the chord).