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

If `"cos"^(-1)(x/a) ="cos"^-1(y/b) = theta, "prove that" x^2/a^2 -(2xy)/(ab) "cos" theta +y^2/b^2 ="sin"^2 theta.`

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SHARAM PUBLICATION-MODEL QUESTION PAPER 13-EXERCISE
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  2. Find the points on the curve x^(2) + y^(2) - 2x - 3 = 0 at which the t...

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  3. For which value of x, the function f(x)=4-x-x^2is maximum or minimum.

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  4. Evaluate int (x+3)^2dx

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  5. Evaluateint0^pi (2/4)sinsqrtxdx

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  6. Evaluate int sin^-1 x dx

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  7. Find the area bounded by the line y = 2x, x- axis and the ordinate x =...

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  8. Solve(dy)/(dt)=e^(3t+5y)

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  9. If the position vectors of the points A, B, C are 2hat(i) + hat(j) - h...

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  10. If veca = (2,-2,1), vecb = (2,3,6) and vecc = (-1,0,2), Find the magni...

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  11. Find the perpendicular distance of the point (-1,3,9) from the line (x...

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  12. Find the equation of the plane passing through (3,-6,-9) and parallel ...

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  13. If f:RrarrR,g :RrarrR and h : RrarrR such that f(x)=x^2, g(x)= tan x a...

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  14. If "cos"^(-1)(x/a) ="cos"^-1(y/b) = theta, "prove that" x^2/a^2 -(2xy)...

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  15. Prove the following: [[a+b+c,-c,-b],[-c,a+b+c,-a],[-b,-a,a+b+c]] =...

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  17. Find the area of the region between the curves y=cos x" and "y=sinx,x ...

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  18. Solve (x-y+1)dx-(x+y+5)dy=0

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  19. Show that the following vector are co-planar. hati-2hatj+2hatk, 3hati+...

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