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If cos^(-1)(x/a) + cos^(-1) (y/b) = a ...

If `cos^(-1)(x/a) + cos^(-1) (y/b) = a`
show that : `(x^2)/(a^2) - (2xy)/(ab) cos alpha + (y^2)/(b^2) = sin^(2) alpha`.

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
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  6. Solve the differential equation : y+x(dy)/(dx)=x-y(dy)/(dx)

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  7. Prove that the least perimeter of an isosceles triangle in which a cir...

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  8. Evaluate: int(x^2)/(x^4+x^2-2)\ dx

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  9. If the sum of lengths of hypotenuse and a side of a right angled tr...

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  13. Evaluate : int0^(pi/2)(sin^2x)/(sin x+cos x)dx

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  15. An urn contains 4 balls. Two balls are drawn at random from the urn...

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  17. Solve the equation of x:sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x

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  19. Use elementary column operation C2->C2+2C1 in the following matrix equ...

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