If $\int \sin^2x\cos3xdx=\frac{\sin{x}}{a}+\frac{\sin{3x}}{b}-\frac{{\sin5x}}{c}$, then a+b+c=
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Let T = R3→R3 be a linear transformation defined by T(x,y,x) = (x-y, y-z, z-x). If rank(T) = ρ and nulity(T)=
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Which of the following is not correct statement?
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The locus of the point (α, β) such that the line y = αx + β, become a tangent to the hyperbola 9x2…
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The area (in squares units) of the quadrilateral
formed by the tangent lines drawn to the ellipse at the end…
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Let V=M2(R) denote the vector space 2x2 matrices with real entries over the field. Let T:V→V be defined by T(P) = Pt fo…
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The equation 2x2 + y2 - 12x - 4y + 16 = 0 represents
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If f(x) = ax3 + bx2 + x + 1 has a local maxima value 3 at the point of local maxima x = - 2, then f(2) is equal to :
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If the Newton-Raphson method is applied to find a
real root of f(x) = 2x2 + x - 2 = 0 with initial approximation …
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The equation of common tangent to the curve y2 = 8x and xy = - 1 is
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The greatest value of the function y = sin x . sin2x on (-∞, +∞)
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Let f(x) = sin8x + cos8x. Then the function f increases in the interval
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