SSC CHSL 2020 PYQ — Question 64

SSC CHSL - 15th October 2020 - Shift 1 • Quantitative Aptitude • Q64

A circle is centred at O. Two tangents AP and AQ are drawn from an external point A. If ∠POQ = 118o, then ∠PAQ is equal to:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e 62o

Understanding

Tricks

Application

According to figure

Here

we have Quadrilateral APOQ

So

the sum of all angle = 360

We know the radius of the circle make 90 on the tangent

So

∠OPA = ∠OQA = 90

Now

∠POQ + ∠OPA + ∠OQA + ∠PAQ = 360

118 + 90 + 90 + ∠PAQ = 360

∠PAQ = 360 - 298

∠PAQ = 62