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Comprehension (Q. 5 & 6) Let A B be any ...

Comprehension (Q. 5 & 6) Let `A B` be any chord of the circle `x^2+y^2-2x-6y-6=0` which subtends a right angle at the point (2, 4). Locus of mid point of `A B` is `x^2+y^2-7y-16=0` `x^2+y^2-3x-7y+7=0` `x^2+y^2+3x+7y-16=0` `x^2+y^2+3x+7y-7=0`

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To solve the problem, we need to find the locus of the midpoint of the chord \( AB \) of the given circle that subtends a right angle at the point \( (2, 4) \). ### Step-by-Step Solution: 1. **Equation of the Circle**: The equation of the circle is given as: \[ x^2 + y^2 - 2x - 6y - 6 = 0 ...
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