Q120 / 180 · COMEDK 2018 · Mathematics

The point $(5,-7)$ lies outside the circle

  • Correct answer
    A
    $x^{2}+y^{2}-8 x=0$
  • B
    $x^{2}+y^{2}-5 x+7 y=0$
  • C
    $x^{2}+y^{2}-5 x+7 y-1=0$
  • D
    $x^{2}+y^{2}-8 x+7 y-2=0$

Solution

$x^{2}+y^{2}-8 x=0$ $\Rightarrow 5^{2}+(-7)^{2}-8 \times 5$ $\Rightarrow 25+49-40=34$ $\Rightarrow \quad 34>0$ Here, $34>0$, so the points $(5,-7)$ lies outside the circle.

Hence, the correct answer is option: 'A'.

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