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Locus of mid-point of the portionof the ...

Locus of mid-point of the portionof the line `x cos alpha + y sin alpha =p` between the coordinate axes is-

A

`x^(2) +y^(2) =(4)/(p^(2))`

B

`x^(2) +y^(2) =4p^(2)`

C

`(1)/(x ^(2))+(1)/(y^(2)) =(4)/(p^(2))`

D

`(1)/(x ^(2)) + (1)/(y^(2)) =(2)/(p^(2))`

Text Solution

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The correct Answer is:
C
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