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If a square matrix A is equal to its tra...

If a square matrix A is equal to its transpose `A^T`, then `A^T` is called a

A

symmetric

B

identify

C

skew symmetric

D

none of these.

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UNITED BOOK HOUSE-SET 12-EXERCISE
  1. The value of sin^(-1)cos 150^@ is………..

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  2. If a square matrix A is equal to its transpose A^T, then A^T is called...

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  3. The points of discontiuties of the funtion f(x)= (x+2)/(2x^2 - x - 1)a...

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  4. The value of int e^(-1/x).1/x^2 dxis………

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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