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KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2013-Mathematics
- 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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- If I(1) = underset(0)overset(pi//2)int x.sin xdx and I(20 = underset(0...
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- The value of underset(-1)overset(2)int(|x|)/(x) dx is
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- underset(0)overset(pi)int (cos^(4)x)/(cos^(4)x + sin^(4)x) dx=
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- The area bounded by the curve y= sin((x)/(3)), x-axis and lines x=0 an...
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- The general solution of the differential equation sqrt(1-x^(2)y^(2)).d...
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