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Find the value of k, so that the functio...

Find the value of k, so that the function `f(x) = {(kx^2 + 5, if x le 1), (2, if x gt 1):}` is continuous at `x = 1`

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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. The coordinates of the foot of the perpendicular drawn from the point ...

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  2. Let A = { 1,3,5 } . then the number of equivalence relations in A cont...

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  3. Find the value of k, so that the function f(x) = {(kx^2 + 5, if x le 1...

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  4. Find the angle between unit vector veca and vecb so that sqrt(3) veca ...

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  5. The distance between parallel planes 2x+y-2z-6=0 and 4x+2y-4z=0 isunit...

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  6. The range of the principal value branch of the function y= sec^(-1)x i...

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  7. Evaluate : int(-pi/2)^(pi/2)xcos^2 xdx

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  8. If |vec(a)| = 4 and -3 le lamda le 2,then Ilambda vecaI lies in (A)...

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  9. The principle value of cos^(-1)(-1/2) is ......

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  10. If P(1,0,-3) is the foot of the perpendicular from the origin to the p...

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  11. A purse contains 3 silver and 6 copper coins a second purse contains 4...

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  12. the interval in which the function f given by f(x) = x^2 e^(-x) is str...

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  13. tan^(-1)3 + tan^(-1) lambda = tan^(-1) {(3+ lamda)/(1- 3 lamda)} is va...

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  14. If A = [ (-3 , 2) , (1, -1)] and I = [(1,0) , (0, 1)], find the scalar...

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  15. Amongst all open (from the top) right circular cylindrical boxes of vo...

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  16. Find the probability distribution of the random variable x,which denot...

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  17. If A is a non-singular square matrix of order 3 such that A^2= 3A, the...

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  18. Find the area, lying above the x=axis and included between the circle ...

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  19. check whether the relation R in the set N of natural numbers given by ...

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  20. Given a skew symmetric matrix A = [ (0, a , 1),(-1, b, 1),(-1, c, 0)],...

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