Previous 10 Questions — JAMIA MILLIA ISLAMIA MCA 2019
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If $|\vec{a} + \vec{b}| = |\vec{a} - \vec{b}|$, then:
Topic: JAMIA MILLIA ISLAMIA MCA 2019
$\displaystyle \int \frac{d\theta}{1 - \tan\theta}$ equals:
Topic: JAMIA MILLIA ISLAMIA MCA 2019
Value of $\displaystyle \int_{0}^{\frac{\pi}{2}} (x^3 + x\cos x + \tan^3 x + 1) dx$ is:
Topic: JAMIA MILLIA ISLAMIA MCA 2019
Value of $\displaystyle \int e^{x^2} \left( \frac{1}{x} - \frac{1}{2x^2} \right) dx$ is:
Topic: JAMIA MILLIA ISLAMIA MCA 2019
The points of extremum of the function
$f(x) = \displaystyle \int_0^x e^{t^2} (1 - t^2)\,dt$ are:
Topic: JAMIA MILLIA ISLAMIA MCA 2019
Let $f(x) = (x^3 + a x^2 + b x + 5\sin^3 x)$ be increasing for all $x \in \mathbb{R}$.
Then $a$ and $b$ satisfy:
Topic: JAMIA MILLIA ISLAMIA MCA 2019
If $m$ is the slope of tangent at any point on the curve $e^y = 1 + x^x$, then:
Topic: JAMIA MILLIA ISLAMIA MCA 2019
If $\displaystyle \lim_{x \to \infty} \left(1 + \frac{a}{x} + \frac{b}{x^2}\right)^{2x} = e^2$,
then values of $a$ an…
Topic: JAMIA MILLIA ISLAMIA MCA 2019
Number of points at which the function $f(x) = \min(|x|, |x+1|, |x-4|)$
is not differentiable is:
Topic: JAMIA MILLIA ISLAMIA MCA 2019
Consider two functions $f(x)$ and $g(x)$ such that
$f(x) = |x| + [x]$ and $g(x) = |x|[x]$,
where $[x]$ denotes the …
Topic: JAMIA MILLIA ISLAMIA MCA 2019
Next 10 Questions — JAMIA MILLIA ISLAMIA MCA 2019
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A man known to speak truth $3$ out of $4$ times throws a die and reports that it is a six.
The probability that it is…
Topic: JAMIA MILLIA ISLAMIA MCA 2019
The probability of shooter hitting a target is $\dfrac{3}{4}$.
Find the minimum number of shots required so that the …
Topic: JAMIA MILLIA ISLAMIA MCA 2019
If $A$ and $B$ are independent events such that $P(A) = 0.3$, $P(B) = 0.6$,
then $P(\text{neither A nor B})$ is:
Topic: JAMIA MILLIA ISLAMIA MCA 2019
Period of the function $f(x) = \cos\left(\dfrac{2x}{3}\right) - \sin\left(\dfrac{4x}{5}\right)$ is:
Topic: JAMIA MILLIA ISLAMIA MCA 2019
Which of the following is not an indeterminate form?
Topic: JAMIA MILLIA ISLAMIA MCA 2019
The area of the region described by
$A = \{(x, y): x^2 + y^2 \le 1 \text{ and } y^2 \le 1 - x \}$ is:
Topic: JAMIA MILLIA ISLAMIA MCA 2019
A curve passes through the point $\left(1, \dfrac{\pi}{6}\right)$.
Let the slope of the curve at each point $(x,y)$ b…
Topic: JAMIA MILLIA ISLAMIA MCA 2019
Let $P = \begin{bmatrix} 0 & \omega \\ \omega^2 & 0 \end{bmatrix}$,
where $\omega$ is a cube root of unity. Then $P^{…
Topic: JAMIA MILLIA ISLAMIA MCA 2019
The area bounded by the curves $y^2 = x$ and $x^2 = y$ is:
Topic: JAMIA MILLIA ISLAMIA MCA 2019
Choose the most appropriate word from the options given below to complete the following sentence:
Given the seriousnes…
Topic: JAMIA MILLIA ISLAMIA MCA 2019
