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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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Comprehension (Q.5 & 6 ) Let AB 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 AB is x^(2)+y^(2)-7y-16=0x^(2)+y^(2)-3x-7y+7=0x^(2)+y^(2)+3x+7y-16=0x^(2)+y^(2)+3x+7y-7=0

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The locus of the mid-point of a chord of the circle x^2 + y^2 -2x - 2y - 23=0 , of length 8 units is : (A) x^2 + y^2 - x - y + 1 =0 (B) x^2 + y^2 - 2x - 2y - 7 = 0 (C) x^2 + y^2 - 2x - 2y + 1 = 0 (D) x^2 + y^2 + 2x + 2y + 5 = 0