SSC CHSL 6 Aug 2021 Shift 1 Paper

Section: Quantitative Aptitude

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Question : 70 of 100

Marks: +1, -0

Two chords

P Q

and

R S

of a circle meet at

A

when produced.

A T

is a tangent to the circle meeting it at

T

. The ratio

P A : S A

is equal to which of the following?

$R Q : Q T$
$A Q : A T$
$A Q : Q R$
RA: $A Q$

Solution:

Given,

P A × A Q=R A × S A

[ ∵

by intersecting secants theorem]

⇒ \;\; \;{P A}/{S A}=\;{R A}/{A Q}

∴ P A: S A=R A: A Q

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