The locus of the point (α, β) such that the line y = αx + β, become a tangent to the hyperbola  9x² - 4x²  = 36, is

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The complex number  is the root of the quadratic equation with real coefficients

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The set of all $\lambda\in R$ such that {an} where $a_n=\sqrt{\lambda^2n^2+n+1}-n, n\in N$, is

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Let $z=\cos\!\left(\frac{2\pi}{7}\right)+i\sin\!\left(\frac{2\pi}{7}\right)$. Then the principal argument of $\ov…

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The system of linear equations  has

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Which of the following is not correct statement?

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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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If $\int \sin^2x\cos3xdx=\frac{\sin{x}}{a}+\frac{\sin{3x}}{b}-\frac{{\sin5x}}{c}$, then a+b+c=

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