JEE Advanced 2012 Mathematics question

MathematicsCircleJEE Advanced 2012

The locus of the mid-point of the chord of contact of tangents drawn from points lying on the straight line 4x − 5y = 20 to the circle is

Answer: (A)

Solution

For a point on the line, the chord of contact is . The chord with mid-point (h, k) is . These are the same line, so $ = =

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Question ID VK-026053