Question

Two different points P and Q are given on side of line PB.

Answer 1

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Answer 2

Answer:

MATHS

Two different points P and Q are given on one side of line PB. Draw a circle passing through the points P and Q touching the line AB in point R.

December 26, 2019avatar

Raftaar Sambyal

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ANSWER

Let QP be chosen along x-axis and its length =2a and mid-point as origin so that P is (a,0) and Q is (−a,0). Let R be (x,y) and ∠RPQ=θ;∠RQP=ϕ

∴ θ−ϕ=2α given and RM be the perpendicular on x-axis

∴

1−tanθtanϕ

tanθ−tanϕ

=tan2α....(1)

But tanθ=

MP

RM

=

a−x

y

tanϕ=

MQ

RM

=

a+x

y

Step-by-step explanation:

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