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Show that:4(cot^(-1)(3/2)+cosec^(-1)sqrt...

Show that:`4(cot^(-1)(3/2)+cosec^(-1)sqrt(26))=pi`.

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Solve for x, cos^(-1)x +sin^(-1)((x)/(2)) =(pi)/(6).

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  2. If R and S are two equivalence relation on the set then prove that Rca...

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  3. Show that:4(cot^(-1)(3/2)+cosec^(-1)sqrt(26))=pi.

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  4. Prove that f:RrightarrowR such that f(x)=frac[2x^2][x^2+1] is neither ...

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  5. Factorize the following. [[a,b,c],[b+c,c+a,a+b],[a^2,b^2,c^2]]

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  6. Find B if B^(2)=[{:(17,8),(8,17):}]

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  7. If x,y,z are positive and are the pth, qth and rth terms of a G.P. the...

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  8. Find the adjoint matrix of the matrix [[2,5],[1,4]]

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  9. Solve the following : [[x,1,3],[1,x,1],[3,6,3]]=0

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  10. Find the point on the curve y^2 - x^2 + 2x - 1 =0 where the tangent ...

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  11. Find (dy)/(dx), if y=tan^(-1)((cosx)/(1+sinx)).

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  12. Find the equation of the tangent and normal to the curve y(x-2)(x-3)-x...

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  13. If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...

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  14. If y=x+frac[1][x+frac[1][x+...infty]] find frac[dy][dx], the rhs bein...

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  15. Solve (x+y+1)frac[dy][dx]=1

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  16. Integrate intfrac[tanx+tanalpha][tanx-tanalpha]dx

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  17. Integrate the following int0^1x^7/sqrt(1-x^2)dx

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  18. Find the area of the circle x^2+y^2=2ax.

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  19. int0^2[x^2]dx

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  20. Show that the line passing through the points (a1,b1,c1) and (a2,b2,c2...

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