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With usual notations, in a triangle ABC,...

With usual notations, in a triangle ABC, a cos(B - C)+b cos(C-A)+ c cos(A-B) is equal to

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  1. If U = {1,2,3,4,5,6,7,8,9,10}, A = {1,2,3,5}, B = 2,4,6,7} and C = {2,...

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  2. The number of arrangements of the word " IDIOTS " such that vowels are...

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  3. With usual notations, in a triangle ABC, a cos(B - C)+b cos(C-A)+ c co...

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  4. Let A={1,2,3,4} and R be a relation in given by R= (1,1), (2, 2), (3...

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  5. The term independent of a in the expansion of (1+sqrta+ 1/(sqrta-1))^-...

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  6. Let P be the point (3, 2). Let Q be the reflection of P about the x-ax...

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  7. Suppose that vec p, vec q and vec r are three non-coplanar vectors in ...

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  8. If f'(3)=2 , then lim(h->0)(f(3+h^2)-f(3-h^2))/(2h^2) is

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  9. If A, G & H are respectively the A.M., G.M. & H.M. of three positive n...

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  10. If points (p-2,p-4),(p ,p+1)a n d(p+4,16) are collinear then p=? 4...

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  11. The mean of the n observation x1, x2, x3, ,xn be x dot Then the mea...

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  12. If ai , i= 1,2,3,4 be four real members of same sign, then the minimum...

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  13. Value of (1+1/3)(1+1/(3^2))(1+1/(3^4))(1+1/(3^8))........oo is equal ...

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  14. If a ,b ,c ,d in R^+-{1}, then the minimum value of (log)d a+(log)b ...

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  15. The remainder, when (15^23+23^23) is divided by 19, is

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  16. The value of 'lambda' so that the system of equations x+2y+3=0 3x...

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  17. The value of sum(r=0)^(20)r(20-r)(^(20)Cr)^2 is equal to 400^(39)C(20)...

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  18. Consider the following statements. p : Hari is clever. q: shyam is foo...

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  19. The area of the triangle formed by the lines y=m(1x)+c1, y=m2, x+c2...

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  20. If the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y+4z-k a...

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