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SHARAM PUBLICATION-MODEL QUESTION PAPER 13-EXERCISE
- If x=asec theta, y=b tan theta, then prove that (d^(2)y)/(dx^(2))=-(b^...
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- Find the points on the curve x^(2) + y^(2) - 2x - 3 = 0 at which the t...
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- For which value of x, the function f(x)=4-x-x^2is maximum or minimum.
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- Evaluate int (x+3)^2dx
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- Evaluateint0^pi (2/4)sinsqrtxdx
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- Evaluate int sin^-1 x dx
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- Find the area bounded by the line y = 2x, x- axis and the ordinate x =...
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- Solve(dy)/(dt)=e^(3t+5y)
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- If the position vectors of the points A, B, C are 2hat(i) + hat(j) - h...
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- If veca = (2,-2,1), vecb = (2,3,6) and vecc = (-1,0,2), Find the magni...
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- Find the perpendicular distance of the point (-1,3,9) from the line (x...
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- Find the equation of the plane passing through (3,-6,-9) and parallel ...
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- If f:RrarrR,g :RrarrR and h : RrarrR such that f(x)=x^2, g(x)= tan x a...
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- If "cos"^(-1)(x/a) ="cos"^-1(y/b) = theta, "prove that" x^2/a^2 -(2xy)...
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- Prove the following: [[a+b+c,-c,-b],[-c,a+b+c,-a],[-b,-a,a+b+c]] =...
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- Evaluate int0^(pi//2) (cos x)/ ((2+ sin x)(3+sin x))dx
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- Find the area of the region between the curves y=cos x" and "y=sinx,x ...
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- Solve (x-y+1)dx-(x+y+5)dy=0
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- Show that the following vector are co-planar. hati-2hatj+2hatk, 3hati+...
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- Find the equation of the plane through the points (2, 2,1)and (9, 3, 6...
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