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Q.

The coordinate of a moving point P are [3(cotθ+tanθ),4(cotθtanθ] where is a variable parameter then the equation to the locus P is ____________

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a

x236y264=-1

b

x236y264=1

c

x236y264=9

d

x236+y264=1

answer is A.

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Detailed Solution

(x,y)=(3(cotθ+tanθ),4(cotθtanθ))x3=cotθ+tanθy4=cotθ-tanθ

squaring & subtracting

x236y264=1

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