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KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2013-Mathematics
- The sum of the squares of the eccentricities of the conics (x^(2))/(4)...
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- The equation of the tangent to the parabola y^(2) = 4x inclined at an ...
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- If the distance between the foci and the distance between the directri...
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- If the area of the auxilliary circle of the ellipse (x^(2))/(a^(2)) + ...
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- cos [2"cos"^(-1) (1)/(5) + "sin"^(-1) (1)/(5)]=
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- tan^(-1)((x)/(y))-tan^(-1)((x-y)/(x+y)) is
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- The general solution of sin x - cos x= sqrt2, for any integer 'n' is
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- The modulus and amplitude of (1 + 2i)/(1-(1-i)^(2)) are
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- If 2x=-1+sqrt(3)i, then the value of (1-x^(2)+x)^(6)-(1-x+x^(2))^(6)=
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- If x+ y = tan^(-1) y and (d^(2)y)/(dx^(2)) =f (y) (dy)/(dx), then f(y)...
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- f(x) = {(2a-x", when" a lt x lt a),(3x-2a ", when " a le x):}. Then wh...
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- Let f(x) = cos^(-1) [(1)/(sqrt13) (2 cos x - 3 sin x)]. Then f(0.5) =
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- If f (x) is a function such that f''(x)+f(x)=0 and g(x)=[f(x)]^(2)+[f'...
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- If f(x) = f'(x) + f''(x) + f'''(x) + ….and f(0)=1, then f(x) =
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- The function f(x) = (x)/(3) + (3)/(x) decreases in the interval
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- If sin^(-1) a is the acture angle between the curves x^(2) + y^(2) =4x...
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- The maximum area of a rectangle that can be inscribed in a circle of r...
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- If the length of the sub-tanget at any point to the curve xy^(n) = a i...
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- int(cos^(n-1)x)/(sin^(n+1)x)dx, n ne 0 is
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- int((x-1)e^(x))/((x+1)^(3)) dx=
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