**(1) The number of tangents that can be drawn to a circle at a point on the circle is …………… .****(A) 3 (B) 2 (C) 1 (D) 0****Solution:**

The number of tangents that can be drawn to a circle at a point on the circle is 1.

Hence option C is the answer.

**(2) The maximum number of tangents that can be drawn to a circle from a point outside it is ………….. .****(A) 2 (B) 1 (C) one and only one (D) 0****Solution:**

The maximum number of tangents that can be drawn to a circle from a point outside it is 2.

Hence option A is the answer.

**(3) If ABC ~ PQR and AB /PQ = 7 /5 , then ……………****(A) ABC is bigger. (B) PQR is bigger. (C) Both triangles will be equal. (D) Cannot be decided.**

**Solution:**

Since ABC similar to PQR , corresponding sides are proportional.

AB/PQ = BC/QR = AC/PR

Given AB/PQ = 7/5

AB =( 7/5) PQ

Side AB is 7/5 times PQ. So ABC is bigger.

Hence Option A is the answer.