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JEE Math Practice Question

Locus of mid point of the portion between the axes of $$x$$ $$cos$$ $$\alpha + y\,\sin \alpha = p$$ where $$p$$ is constant is :

  1. A.$${x^2} + {y^2} = {4 \over {{p^2}}}$$
  2. B.$${x^2} + {y^2} = 4{p^2}$$
  3. C.$${1 \over {{x^2}}} + {1 \over {{y^2}}} = {2 \over {{p^2}}}$$
  4. D.$${1 \over {{x^2}}} + {1 \over {{y^2}}} = {4 \over {{p^2}}}$$

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