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§ Coordinate Geometry · General

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Coordinate GeometryGeneralNumerical Value Two DecimalVery Hard

Q16.Let the point

B

be the reflection of the point

A(2,3)

with respect to the line

8x-6y-23=0

. Let

\Gamma_A

and

\Gamma_B

be circles of radii 2 and 1 with centres

A

and

B

respectively. Let

T

be a common tangent to the circles

\Gamma_A

and

\Gamma_B

such that both the circles are on the same side of

T

. If

C

is the point of intersection of

T

and the line passing through

A

and

B

, then the length of the line segment

AC

is ____.

Subjective / proof problem — work it out in the Scratchpad, then reveal the solution.

citeJEE (Advanced) 2019 — Mathematics — Paper 1

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