Q84 / 150 · MHT CET 2020 (12 Oct Shift 1) · Mathematics

The cartesian equation of the curve given by $x=6 \cos \theta, \quad y=6 \sin \theta$ is

  • Correct answer
    A
    $x^{2}+y^{2}=36$
  • B
    $x^{2}+y^{2}=5$
  • C
    $x^{2}+y^{2}=25$
  • D
    $x^{2}+y^{2}=6$

Solution

On squaring and adding both given equations, we get $\begin{aligned} x^{2}+y^{2} &=36 \cos ^{2} \theta+36 \sin ^{2} \theta \\ &=36\left(\cos ^{2} \theta+\sin ^{2} \theta\right) \\ x^{2}+y^{2} &=36 \end{aligned}$

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

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