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If A+B+C = pi, prove that [[sin^2A,cot...

If A+B+C = `pi`, prove that
`[[sin^2A,cotA,1],[sin^2B,cotB,1],[sin^2C,cotC,1]]`=0

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Show that the operation * given by x*y=x+y+ -xy is a binary oeration o...

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  2. If ax+hy+g=0, hx+by+f=0 and gx+fy+c=lamda, find the value of lamda in ...

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  3. If A+B+C = pi, prove that [[sin^2A,cotA,1],[sin^2B,cotB,1],[sin^2C,c...

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  4. Find the adjoint of the following matrice. [[1,1,-1],[2,-1,2],[1,3,-2...

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  5. If A and B are matrices of the same order and AB=BA, Then prove that ...

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  6. Solve by matrix method: 2x + 3y=1,4x+5y=3

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  7. If e^x+e^y=e^(x+y), find dy/dx.

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  8. If x^7y^3=(x+y)^10, then find (d^2y)/(dx^2)

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  9. Determine the values of x for which the function f(x)= x^x, xgt0 is in...

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  10. If x=cos^-1(1/(sqrt(1+t^2))), y=sin^-1(1/(sqrt(t^2+1))) then dy/dx is ...

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  11. Find the angle between the tangents to the curve y=x^2-5x+6 at the poi...

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  12. Find the area of the region bounded by y=6x-x^2x-axis and between ordi...

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  13. intsin^-1sqrt(x/(a+x))dx=.

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  14. Solve : xdy/dx+y=xy^2

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  15. Evaluate int3^6sqrtx/(sqrt((9-x))+sqrtx)dx

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  16. Evaluate int-1^2 {|x\|+[x]}dx

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  17. The plane 4x+7y+4z+81=0 is rotated through a right angle about its lin...

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  18. If G is the centroid of a triangle ABC, prove that vec(GA)+vec(GB)+vec...

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  19. Find the image of the point (2,-1,3) in the plane 3x-2y+z-9=0

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  20. Prove that the measure of the angle between two main diagonals of a cu...

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