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IF x^(2) + y^(2) - 2y - 15 + lambda (2x ...

IF `x^(2) + y^(2) - 2y - 15 + lambda (2x + y - 9) = 0` represents family of circles for. Different values of `lambda`, then the equation of the circle(s) along these circles having minimum radius is/are

A

`3x^(2) + 3y^(2) -2x - 7y - 36 = 0`

B

`x^(2) + y^(2) - 2y - 15 = 0`

C

`5x^(2) + 5y^(2) - 32x - 26y + 69 = 0`

D

`x^(2) + y^(2) -10x - 7y + 30 = 0`

Text Solution

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The correct Answer is:
C
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AAKASH INSTITUTE-CONIC SECTIONS-SECTION-C
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