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Q.

The coordinate axes are rotated about the origin ‘O’ in the counter clockwise direction through an angle 60o. If  a and b are the intercepts made on the new axes by a straight line whose equation referred to the original axes is  3x + 4y-5=0 then 1a2+1b2=

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answer is 1.

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Detailed Solution

p=53,q=54,1a2+1b2=1p2+1q2=925+1625=1
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