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Solve: tan^(-1)x+2cot^(-1)x=(2pi)/3...

Solve: `tan^(-1)x+2cot^(-1)x=(2pi)/3`

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SHARAM PUBLICATION-MODEL QUESTION PAPER-2-EXERCISE
  1. Write the vector equation ofthe line given by (x - 5)/3 = (y + 4)/7 = ...

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  2. If A = {1, 2, 3}, B = {4, 5, 6, 7} and f = {(1, 4), (2, 5), (3, 6)} i...

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  3. Solve: tan^(-1)x+2cot^(-1)x=(2pi)/3

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  4. if ** is the binary operation on N given by a**b= L. C. M of a and b. ...

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  5. Prove that |[a-b-c,2a,2a],[2b, b-c-a, 2b],[2c, 2c, c-a-b]|= (a+b+c)^3.

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  6. Using elementary operation find the inverse of [(2,3),(5,7)]

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  7. Construct a 2 xx 3 matrix whose element are given by a(ij) = i + j.

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  8. Find the value of |{:(17,58,97),(19,60,99),(18,59,98):}| without expan...

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  9. Find the value of k, so that the function defined by f(x)={(kx+1", if...

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  10. Find the slope of the tangent to the curve x = sin 3t, y = cos 2t, at ...

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

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  12. Evaluate: int(log sinx )/(tan x)dx.

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  13. Evaluate int(dx)/(x(x^(5)+3)).

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  14. Evaluate int(0)^(pi//4)log(1+tanx)dx.

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  15. Determine the area the of the region between the curves y=cos x and y=...

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  16. Solve the differential equation (1+x^2)(dy)/(dx)+y= tan^(-1)x

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  17. Vectors veca,vecb, vecc are such that veca + vecb + vecc = 0 and |veca...

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  18. Show by vector method that the line joining the points (1, 4, 2) and (...

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  19. Find the co-ordinates of the point where the perpendicular from the or...

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  20. Find the equation of the plane passing through the line x = y = z and ...

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