IIT JEE CONIC SECTIONS A variable circle which always touches the line `x+y-2=0` at (1, 1) cuts t...

814 views · Published 25 September 2017 · 2:40 · Indexed 22 September 2026

Channel: Doubtnut · 2017 · Education

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This is the Solution of question from Cengage Publication Math Book Coordinate Geometry Chapter 6 CONIC SECTIONS written By G. Tewani. You can Find Solution of all math questions from CENGAGE BOOK on our app DOUBTNUT for free. Download Doubtnut from - https://doubtnut.app.link/MdQ9b3d4vR

A variable circle which always touches the line `x+y-2=0`
at (1, 1) cuts the circle `x^2+y^2+4x+5y-6=0`
. Prove that all the common chords of intersection pass through a fixed
 point. Find that points.

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