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The angle between the lines whose direct...

The angle between the lines whose direction ratios are proportional to 1, -2, 1 and 4, 3, 2 is………

A

`(3 pi)/4`

B

`pi /2`

C

`pi /3`

D

`pi /4`

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UNITED BOOK HOUSE-SET 12-EXERCISE
  1. The value of int e^(-1/x).1/x^2 dxis………

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  2. The value of p for which the vectors p hati - 5hatj and 2 hati - 3 hat...

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  3. The angle between the lines whose direction ratios are proportional to...

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  4. An unbiased coin is tossed three times in succession, then the probabi...

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  5. The probability density function of a random variable X is f(x) = k(x-...

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  6. Solve:sin^(-1) cos(sin^(-1)x) = pi/3.

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  7. If A = [[4,5],[5,6]], show that A^2 = 10A + I where I is the unit matr...

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  8. Prove that, underset(xrarr0)lim (logcosx)/sin^2x = -1/2

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  9. If y = tan^(-1) (secx + tanx), find (d^2y)/(dx^2).

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  10. Prove that, underset(a)overset(b)int f(a + b - x)dx= underset(a)overse...

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  11. Solve:2^(x-y) dx + 2^(y-x) dy = 0

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  12. If x>1/2, show that the function f(x) = x(4x^2 - 3) is steadily increa...

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  13. Find the area in the fourth quadrant bounded by the curve y = x^3 - 8 ...

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  14. Can the numbers 1,2,3 be the direction ratio of a straight line? Give ...

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  15. Find the intercept form of a plane with intercepts 2,3 and 4 on the x,...

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  16. A and B are two independent events with P(A) = 2/5 and P(B) = 1/3, eva...

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  17. The mean and variance of a binomial distribution are 4 and 3 respectiv...

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  18. If tan^(-1)x, tan^(-1)y and tan^(-1)z are in A.P, find the algebric re...

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  19. Prove that, the inverse of a given square matrix, if its exists, is un...

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

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