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JEE Main 2008
Exam
JEE Main
Year
2008
Subject
Mathematics
Chapter
Circle

JEE Main 2008 · Mathematics · Circle

The point diametrically opposite to the point P(1,0) on the circle...

The point diametrically opposite to the point P(1,0)P(1,0) on the circle x2+y2+2x+4y−3=0x^2+y^2+2 x+4 y-3=0 is

Options

  1. A(3,−4)(3,-4)
  2. B(−3,4)(-3,4)
  3. C(−3,−4)(-3,-4)
  4. D(3,4)(3,4)

Correct answer

C. (−3,−4)(-3,-4)

Step-by-step solution

Centre (−1,−2)(-1,-2) Let (α,β)(\alpha, \beta) is the required point α+12=−1\frac{\alpha+1}{2}=-1 and β+02=−2\frac{\beta+0}{2}=-2.
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