can any one solve this
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answer is option 3.
Step-by-step explanation:
x/a cos theta + y/b sintheta = 1
squaring on both sides
x^2/a^2 cos^2 theta + y^2 / b^2 sin^2 theta + 2
xy/ab costheta sintheta = 1 .......(1)
similarly squaring the second equation we get
x^2/a^2 sin^2 theta + y^2/b^2 cos ^ theta + 2 xy/ab cos theta sintheta = 1 ......(2)
Adding both equations (1),(2) we get ,
x^2/a^2 ( cos^2 theta + sin^2 theta ) + y^2/b^2 ( sin^2 theta + cos^2 theta ) = 2 ....(3)
we know that sin^2 theta + cos ^ 2 theta = 1
the equation (3) will become ,
x^ 2 /a^2 + y^2 / b^2 = 2
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thanks for the free points
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