. Find the number of points where $f(x) = |2x + 1| - 3|x + 2| + |x^2 + x - 2|$ is non-differentiable.
Previous 10 Questions — JAMIA MILLIA ISLAMIA MCA 2021
Nearest first
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Find the value of
$I = \displaystyle\int_{-1}^{1} x^2 e^{[x]} dx$,
where $[\,]$ denotes the greatest integer functi…
Topic: JAMIA MILLIA ISLAMIA MCA 2021
Let the quadratic equation $ax^2 + bx + c = 0$
where $a, b, c$ are obtained by rolling a dice thrice.
What is the proba…
Topic: JAMIA MILLIA ISLAMIA MCA 2021
If $a_n = \alpha^n - \beta^n$ and $\alpha, \beta$ are the roots of the equation
$x^2 - 6x - 2 = 0$, then find the val…
Topic: JAMIA MILLIA ISLAMIA MCA 2021
A and B are two students. Their chances of solving a problem correctly are
$\dfrac{1}{3}$ and $\dfrac{1}{4}$ respecti…
Topic: JAMIA MILLIA ISLAMIA MCA 2021
Three persons A, B, and C fire at a target in turn, starting with A.
Their probabilities of hitting the target are $0.4…
Topic: JAMIA MILLIA ISLAMIA MCA 2021
The locus represented by $xy + yz = 0$ is:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
The reflection of the point $(\alpha, \beta, \gamma)$ in the xy-plane is:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
Number of vectors of unit length perpendicular to
$\vec{a} = 2\hat{i} + \hat{j} + 2\hat{k}$
and $\vec{b} = \hat{j} …
Topic: JAMIA MILLIA ISLAMIA MCA 2021
For any vector $\vec{a}$, the value of
$(\vec{a} \times \hat{i})^2 + (\vec{a} \times \hat{j})^2 + (\vec{a} \times \ha…
Topic: JAMIA MILLIA ISLAMIA MCA 2021
The solution of the differential equation
$\dfrac{dy}{dx} = e^{x - y} + x^2 e^{-y}$ is:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
Next 10 Questions — JAMIA MILLIA ISLAMIA MCA 2021
Ascending by ID
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Find the number of solutions of the equation
$4(x - 1) = \log_2(x - 3)$
Topic: JAMIA MILLIA ISLAMIA MCA 2021
Minimum value of $a^{x} + \dfrac{a}{a^{a x}}$
(where $a > 0$, $a \neq 1$, and $x \in \mathbb{R}$) is:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
If $x$, when divided by 4, leaves remainder 3,
then find the remainder when $(2020 + x)^{2022}$ is divided by 8.
Topic: JAMIA MILLIA ISLAMIA MCA 2021
If $x^3 - 2x^2 + 2x - 1 = 0$ has roots $(\alpha, \beta, \gamma)$,
then find $(\alpha^{162} + \beta^{162} + \gamma^{162}…
Topic: JAMIA MILLIA ISLAMIA MCA 2021
Find the area bounded by the curve
$y = |\,|x - 1| - 2|$ with the X-axis.
Topic: JAMIA MILLIA ISLAMIA MCA 2021
If a triangle is inscribed in a circle of radius $r$, then which of the following triangles can have maximum area?
Topic: JAMIA MILLIA ISLAMIA MCA 2021
From the point $A(3,2)$, a line is drawn to any point on the circle $x^2 + y^2 = 1$.
If the locus of the midpoint of th…
Topic: JAMIA MILLIA ISLAMIA MCA 2021
If slope of common tangent to the curves $4x^2 + 9y^2 = 36$ and $4x^2 + 4y^2 = 31$ is $m$,
then $m^2$ is equal to:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
If $A$ and $B$ are matrices of same order, then $(AB' - BA')$ is a:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
Which of the following statements best explains a process?
Topic: JAMIA MILLIA ISLAMIA MCA 2021
