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HIMALAYA PUBLICATION-COMMON ENTRANCE TEST -2016-QUESTION BANK
- If 2 vec a . vec b = |vec a|.|vec b| then the between vec a and vec b ...
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- If 1 + sin theta + sin^(2)theta + … upto oo 2sqrt(3) + 4, then theta =
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- The function f(x) = [x] where [x] is the greatest integer function is ...
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- Let f: R rarrR be defined by f(x)=2x+6 which is bijective mapping then...
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- If cos alpha, cos beta, cos gamma are the direction cosines fo a vecto...
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- Write the converse and contrapositive of the statement " If x ...
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- The value of int(-pi//4)^(pi//4) sin^(103) x*cos^(101) xdx is
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- If a = 3,b = 4, c = 5 each one of vec a, vec b and vec c is perpendicu...
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- Suppose vec a + vec b + vec c = 0, |vec a| = 3, |vec b| = 5, |vec c| =...
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- If x^(y) = e^(x-y) then (dy)/(dx) is equal to
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- If P(AnnB)=7//10andP(B)=17//20, where P stands for probability then P(...
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- Find a value of "x"for which x( hati + hatj+ hatk) is a uni...
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- If y = e^(sin^(-1)(t^(2)-1)) & x = e^(sec-1((1)/(t^(2-1))) then (dy)/(...
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- If A = 1/pi [(sin^(-1)(xpi),tan^(-1)(x/pi)),(sin^(-1)(x/pi),cot^(-1)(p...
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- The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2)-2t-5 at th...
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- The rate of change of area of a circle with respect to its radius at r...
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- IF A = [{:(3,,1),(-1,,2):}] then A^(2) -5A is equal to
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- The value of the sin 1^(@) + sin2^(@) + … + sin359^(@) is equal to
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- The order and degree of the differential equation [1 + ((dy)/(dx))^(2)...
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- tan^(-1)((x)/(y))-tan^(-1)((x-y)/(x+y)) is
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