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For the following questions answer them individually
If the coefficients of $$x^7$$ and $$x^8$$ are equal in the binomial expansion of $$(3 + \frac{x}{2})^n$$ then $$n =$$
If $$\alpha$$ is an integer, $$A = \begin{bmatrix}\alpha^2 & 5 \\5 & -\alpha \end{bmatrix}$$ and $$\mid A \mid^{10} = 1024$$ then $$\alpha =$$
$$A_x = \begin{bmatrix}\sin x & -\cos x \\\cos x & \sin x \end{bmatrix} \Rightarrow \sin x.A_x + \cos x.A_{\left(\frac{\pi}{2} + x\right)} =$$
$$\lim_{x \rightarrow a}\frac{(\sqrt{3x - a} - \sqrt{(x + a)})}{(x - a)} =$$
$$y = \cot^{-1}\left(\frac{1 - 3x^2}{3x - x^3}\right) \Rightarrow \frac{dy}{dx} =$$
The hypotenuse (in cms) of a right angle triangle whosesides are in the ratio 3:4 and having area 24 sq.cmsis
If the two diagonals of a parallelogram are equal and perpendicular bisectors of each other then it is a
If O is the center of a circle on which A, B and C are three points; and if $$\angle BOC = 100^\circ$$ then $$\angle ABC + \angle ACB =$$
The triangle with vertices at (0, 0), (2, 2) and (0, 4) is
If $$(\alpha, \beta)$$ and $$(\gamma, \delta)$$ are respectively the points which divide the line joining(7, -5) and (-2, 6) in the ratios 1 : 2 and 2 : 1 then $$\alpha + \gamma - \beta - \delta =$$
Day-wise Structured & Planned Preparation Guide
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