If $A=\begin{bmatrix}\alpha & 0 \\ 1 & 1\end{bmatrix}$ and $B=\begin{bmatrix}1 & 0 \\ 5 & 1\end{bmatrix}$ and $A^2=B$, then the value of $\alpha$ is
Previous 10 Questions — AMU MCA 2017
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If $A=\begin{bmatrix}2 & 3 \\ 5 & -2\end{bmatrix}$ be such that $A^{-1}=\lambda A$. Then, the value of $\lambda$ is
Topic: AMU MCA 2017
If $y = \sin(mx)$, then the value of the determinant
$\begin{vmatrix} y & y_1 & y_2 \\ y_3 & y_4 & y_5 \\ y_6 & y_7 …
Topic: AMU MCA 2017
If $a, b, c$ are roots of the equation $x^3 + px + q = 0$, then the value of
$\begin{vmatrix} a & b & c \\ b & c & a …
Topic: AMU MCA 2017
If the system of equations$2x+ay+6z=8$$x+2y+bz=5$$x+y+3z=4$has a unique solution then
Topic: AMU MCA 2017
If $y=\sqrt{\frac{1-x}{1+x}}$, then $(1-x^2)\frac{dy}{dx}+y$ is
Topic: AMU MCA 2017
The function $f(x)=\sqrt{|x|-x}$ is continuous for
Topic: AMU MCA 2017
If $y=e^{x}+e^{x+e^{x}}+e^{x+e^{x+e^{x}}}+\dots$, then $\frac{dy}{dx}$ is equal to
Topic: AMU MCA 2017
The total revenue in rupees received from the sale of $x$ units of a product is given by $R(x)=5x^2+20x+7$. The margina…
Topic: AMU MCA 2017
Differentiate y = sin⁻¹((1 - x²)/(1 + x²)), 0 < x < 1 with respect to x.
Topic: AMU MCA 2017
The area of the region bounded by the two parabolas $y=x^2$ and $y=x$ is
Topic: AMU MCA 2017
Next 10 Questions — AMU MCA 2017
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$\sin^{-1}\left(\frac{8}{17}\right) + \sin^{-1}\left(\frac{3}{5}\right)$ is equal to
Topic: AMU MCA 2017
If $\cos^{-1} \sqrt{p} + \cos^{-1} \sqrt{1 - p} + \cos^{-1} \sqrt{1 - q} = \frac{3\pi}{4}$, then the value of $q$ is:
Topic: AMU MCA 2017
The function $f(x) = \cos x$ is strictly decreasing on:
Topic: AMU MCA 2017
If $^nP_4 = 20 \times ^nP_2$. Then, the value of $n$ is:
Topic: AMU MCA 2017
If $\sin^{-1} x - \cos^{-1} x = \frac{\pi}{6}$, then the value of $x$ is:
Topic: AMU MCA 2017
