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If (x)/(a) cos alpha+ (y)/(b) sin alpha ...

If `(x)/(a) cos alpha+ (y)/(b) sin alpha = 1, (x)/(a) cos beta + (y)/(b) sin beta = 1 `and `(cos alpha cos beta)/(a^(2))+(sin alpha sin beta)/(b^(2))= 0`, then

A

`tanalphatanbeta=(b^(2)(x^(2)-a^(2)))/(a^(2)(y^(2)-b^(2)))andx^(2)+y^(2)=a^(2)-b^(2)`

B

`tanalphatanbeta=(a^(2))/(b^(2))`

C

`x^(2)+y^(2)=a^(2)-b^(2)`

D

none of these

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The correct Answer is:
A
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