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Probability — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsProbability1 Mark
MCQ
The equation of the circle passing through $(3, 6)$ and whose centre is $(2, -1)$ is:
  • A
    $x^2+ y^2- 4x + 3y = 45$
  • ✓
    $x^2+ y^2 - 4x + 2y - 45 = 0$
  • C
    $x^2+ y^2 + 4x - 2y = 45$
  • D
    $x^2+ y^2- 4x + 2y + 45 = 0$
✓

Answer

Correct option: B.
$x^2+ y^2 - 4x + 2y - 45 = 0$
$(x - 2)^2+ (y + 1)^2+ r^2 (3, 6).$ lies on it
$\Rightarrow 1 + 49 = r^2$
$\Rightarrow r^2= 50$
$\Rightarrow x^2+ 4 - 4x + y^2 + 1 + 2y = 50.$
$\Rightarrow x^2+ y^2 - 4x + 2y - 45 = 0$

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