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HIMALAYA PUBLICATION-COMMON ENTRANCE TEST - 2017-QUESTION BANK
- The range of sec^(-1)x is
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- If tan^(-1)x + tan^(-1)y=4pi//5, then cot^(-1)x + cot^(-1)y is equal t...
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- If f(x) = 8x^(3), g(x) = x^((1//3)), then fog(x) is
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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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- If a matrix A is both symmetric and skew symmetric, then
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- If 2[[1,3],[0,x]]+ [[y,0],[1,2]]= [[5,6],[1,8]] , then the value of x...
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- Binary operation * on R -{-1} defined by a ** b = (a)/(b+1) is
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- |[3,x],[x,1]|= |[3,2],[4,1]| then x is equal to
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- If A is a square matrix of order 3 xx 3, then |KA| is equal to
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- The area of triangle with vertices (K, 0), (4,0), (0, 2) is 4 square u...
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- Let Delta=|(Ax,x^(2),1),(By,y^(2),1),(Cz,z^(2),1)| and Delta(1)=|(A,B,...
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- If F(x)= {(Kx^(2) if x le 2),(3 if x gt 2):} is continuous at x = 2, ...
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- The value of C in mean value theorem for the function f(x)=x^(2) in [2...
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- The point on the curve y^(2) = x where the tangent makes an angle (pi)...
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- The function f(x)=x^(2)+2x-5 is strictly increasing in the interval
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- The rate of change of volume of a sphere with respect to its surface a...
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- If y=tan^(-1)((sin x + cos x)/(cos x - sin x)), then (dy)/(dx) is equa...
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- If y=|(f(x),g(x),h(x)),(1,m,n),(a,b,c)|, then (dy)/(dx) is equal to
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- If sin x = (2t)/(1+t^(2)), tan y = (2t)/(1-t^(2)), then (dy)/(dx) is e...
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- The derivative of cos^(-1)(2x^(2)-1) w.r.t cos^(-1) x is
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