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Construct a 2 xx 3 matrix whose element ...

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

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SHARAM PUBLICATION-MODEL QUESTION PAPER-2-EXERCISE
  1. 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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  2. Using elementary operation find the inverse of [(2,3),(5,7)]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Find the co-ordinates of a point where the line (x- 2)/3 = (y+1)/4 = (...

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

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  19. Find graphically the maximum value of z = 2x + 5y subject to the const...

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  20. Find the values of a and b such that the function f defined by f(x) = ...

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