Question

Q, P and S are points on circle C1

RST is a tangent to C1
Circle C2 passes through the centre O, S and Q.
Prove that SQ is not a diameter
of circle C2
Give reasons for your answer.

Answer 1

Explanation:

SPQ = 43˚ because the angle between a tangent and a chord is equal to the angle in the alternate segment.

SOQ = 86˚ because the angle subtended by an arc at the centre is twice the angle subtended at the circumference.

SQ is not a diameter, if it was SOQ would need to be 90˚(angle at a semicircle)