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The value of m for which the planes 2x+3...

The value of m for which the planes 2x+3y-z=5 and 3x-my+3z=6 are perpendicular to each other is

A

`-1`

B

`1/2`

C

`1

D

`1/2`

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UNITED BOOK HOUSE-QUESTION PAPER 2015-EXERCISE
  1. The value of m for which the planes 2x+3y-z=5 and 3x-my+3z=6 are perpe...

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  2. f(x)= mux-sinx, x>0 is a monotonic increasing funcrtion then

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  3. The probability distribution P(x) of a random variable X is given by p...

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  4. IF P(AnnB) = 5/13 then the value of P(A^CuuB^C) is

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  5. The value of lambda for which the vectors veca= hati+ 3 hat j- hat k a...

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  6. The value of overset(1)underset(-1)intx|x|dx is

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  7. answer any three questions:5. if f(2)=4,f'(2)=4, then evaluate lim (x ...

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  8. If A is a 2xx2 invertible matrix, then value of det A^(-1) is

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  9. The value of sin^(-1)(-sqrt3/2)+cos^(-1)(sqrt3/2)is

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  10. The relation R {(1,1),(2,2),(4,4),(1,2),(1,3),(2,3)} on the set A = {1...

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  11. A binary operation * is defined on the set of all integers Z by a * b...

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  12. Find the value of tan^(-1){2cos(2sin^(-1)1/2)}. (Consider principal va...

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  13. If A = ([3,1],[7,5]) and A^2 = -xl+yA. Find x and y where I is a unit ...

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  14. Without expanding,show that |[9,9,12],[1,-3,-4],[1,9,12]|=0

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  15. Verify Rolle's theorem for function f(x) = 4^(sinx) in the interval [0...

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  16. Evaluate the limit lim(x->0) (e^(2x)+e^(-x)-2)/x

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  17. If the function f(x) = {((sin x)/(kx)+k, x!=0),(2,x=0):} is continuous...

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  18. If sin^(-1) ((x^2-y^2)/(x^2+y^2))=k, k is a constant, then prove that ...

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  19. Evaluate the int sin sqrtxdx

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  20. Find the differential equation of the curves given by y = Ae^(2x)+Be^(...

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