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SHARAM PUBLICATION-MODEL QUESTION PAPER 14-EXERCISE
- Prove the sin^2(sin^(-1) x+sin^(-1) y+sin^(-1)z) =cos^2 (cos^(-1)x +c...
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- Solve for x tan^(-1)(x+2)+tan^(-1)(x-2)=tan^(-1)(8/79),x>0.
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- Solve the following LPP graphically Maximize, Z=20x+30y Subject to...
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- Find x, so that [{:(1,x,1):}][{:(1,3,2),(0,5,1),(0,3,2):}][{:(1),(1),(...
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- If A =[[1,2,2],[2,1,2],[2,2,1]] then prove that A^2-4A-5I=0.
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- Prove that:|[1, a ,a^2],[a^2, 1 ,a],[a, a^2, 1]| is a perfect square.
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- Solve for x, |{:(15-2x,11,10),(11-3x,17,16),(7-x,14,13):}|=0
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- If sin y = x sin (a + y) then show that (dy)/(dx)=(sin^2(a+y))/(sina)
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- If x=a(cost+tsint) and y=a(sint-tcost), then find (d^(2)y)/(dx^(2)) at...
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- Find the equation of tangent to the curve x^2 + 3y = 3 which is parall...
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- Find the extreme values of the function y = X + 1/x.
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- int0^1(x^5(4-x^2))/sqrt(1-x^2)dx
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- Integrate the following intsec^2sqrtx/sqrtxdx
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- intx^2tan^-1xdx
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- Solve (dy)/(dx)+y=e^(-x)
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- Using vector method find the area of the triangle with vertices (1, 0,...
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- Find [veca vecb vecc] when veca= hati -2hatj + 3hatk, vecb=2hati+ hatj...
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- Find the image of the point (2,-1,3) in the plane 3x-2y+z-9=0
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- Find the point where the line (x-2)/1=y/(-1)=(z-1)/2 meets the plane 2...
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- Find the equation of the plane through the points (1, 2, -3), (2,3, -4...
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