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Question: Answered & Verified by Expert
If $\alpha$ and $\beta$ are the roots of $x^2+2 x-3=0$ and $\gamma, \delta$ are the roots of $y^2-y-4=0$, then the equation of the circle having $(\alpha, \gamma)$ and $(\beta, \delta)$ as ends of a diameter is
MathematicsCircleTS EAMCETTS EAMCET 2021 (06 Aug Shift 2)
Options:
  • A $x^2+y^2+4 x-3 y+2=0$
  • B $x^2+y^2+2 x-y+7=0$
  • C $x^2+y^2-3 x+4 y+1=0$
  • D $x^2+y^2-2 x+y-1=0$
Solution:
1964 Upvotes Verified Answer
The correct answer is: $x^2+y^2+2 x-y+7=0$
Given, data is incorrect because $y^2-y+4=0$ has imaginary discriminant and never gives equal to zero.

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