(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.