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If cos alpha, cos beta, cos gamma are th...

If `cos alpha, cos beta, cos gamma` are the direction cosines fo a vector `veca,` then `cos 2alpha + cos 2beta + cos 2gamma` is equal to

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HIMALAYA PUBLICATION-COMMON ENTRANCE TEST -2016-QUESTION BANK
  1. The function f(x) = [x] where [x] is the greatest integer function is ...

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  2. Let f: R rarrR be defined by f(x)=2x+6 which is bijective mapping then...

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  3. If cos alpha, cos beta, cos gamma are the direction cosines fo a vecto...

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  4. Write the converse and contrapositive of the statement " If x ...

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  5. The value of int(-pi//4)^(pi//4) sin^(103) x*cos^(101) xdx is

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  6. If a = 3,b = 4, c = 5 each one of vec a, vec b and vec c is perpendicu...

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  7. Suppose vec a + vec b + vec c = 0, |vec a| = 3, |vec b| = 5, |vec c| =...

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  8. If x^(y) = e^(x-y) then (dy)/(dx) is equal to

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  9. If P(AnnB)=7//10andP(B)=17//20, where P stands for probability then P(...

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  10. Find a value of "x"for which x( hati + hatj+ hatk) is a uni...

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  11. If y = e^(sin^(-1)(t^(2)-1)) & x = e^(sec-1((1)/(t^(2-1))) then (dy)/(...

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  12. If A = 1/pi [(sin^(-1)(xpi),tan^(-1)(x/pi)),(sin^(-1)(x/pi),cot^(-1)(p...

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  13. The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2)-2t-5 at th...

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  14. The rate of change of area of a circle with respect to its radius at r...

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  15. IF A = [{:(3,,1),(-1,,2):}] then A^(2) -5A is equal to

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  16. The value of the sin 1^(@) + sin2^(@) + … + sin359^(@) is equal to

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  17. The order and degree of the differential equation [1 + ((dy)/(dx))^(2)...

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  18. tan^(-1)((x)/(y))-tan^(-1)((x-y)/(x+y)) is

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  19. The sum of 1^(st) n terms of the series (1^(2))/(1) + (1^(2) + 2^(2...

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  20. Two cards are drawn at randrom from a pack of 52 cards. The probabilit...

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