Aspire Faculty ID #13513 · Topic: JAMIA MILLIA ISLAMIA MCA 2024 · Just now
JAMIA MILLIA ISLAMIA MCA 2024

$\tan^{-1}!\left(\dfrac{1}{2}\right) + \tan^{-1}!\left(\dfrac{1}{3}\right) =$

Solution

$\tan^{-1}a + \tan^{-1}b = \tan^{-1}!\left(\dfrac{a + b}{1 - ab}\right)$ Here, $a = \dfrac{1}{2}$, $b = \dfrac{1}{3}$ $\Rightarrow \dfrac{a + b}{1 - ab} = \dfrac{\frac{5}{6}}{1 - \frac{1}{6}} = 1$ $\Rightarrow \tan^{-1}(1) = \dfrac{\pi}{4}$
← Previous Next →

Previous 10 Questions — JAMIA MILLIA ISLAMIA MCA 2024

Nearest first
1
Simplified form of $\cos^{-1}(4x^3 - 3x)$ is
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 2
The coefficient of the middle term in the expansion of $(2 + 3x)^4$ is
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 3
If $x^2 + ax + b = 0$ and $x^2 + bx + a = 0$ $(a \ne b)$ have exactly one common root, then what is the value of $(a + …
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 4
Let $f : \mathbb{R} \to \mathbb{R}$ be defined by $f(x) = \dfrac{1}{x}$, $\forall x \in \mathbb{R}$. Then $f$ is
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 5
A relation $R$ in a set $A$ is called ________, if $(a_1, a_2) \in R$ implies $(a_2, a_1) \in R$, for all $a_1, a_2 \in…
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 6
If $f : \mathbb{R} \to \mathbb{R}$ such that $f(x) = 3x$, then what type of function is $f$?
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 7
The maximum number of equivalence relations on the set $A = {1, 2, 3}$ are
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 8
A={1,2,3}. Which $f:A\to A$ does not have an inverse?
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 9
On A={1,2,3} let R={(1,2)}. Then R is 
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 10
Let A={1,2,3} and R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}. Then R is 
Topic: JAMIA MILLIA ISLAMIA MCA 2024

Next 10 Questions — JAMIA MILLIA ISLAMIA MCA 2024

Ascending by ID
1
$\sin(\tan^{-1}x)$, where $|x| < 1$, is equal to
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 2
If $A$ is a square matrix such that $A^2 = A$, then $(I - A)^3 + A$ is equal to
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 3
A square matrix $A = [a_{ij}]{n \times n}$ is called a lower triangular matrix if $a{ij} = 0$ for
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 4
A matrix $A = [a_{ij}]_{m \times n}$ is said to be symmetric if
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 5
Let $A$ be a non-singular matrix of order $2 \times 2$. Then $|A^{-1}| =$
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 6
If $A$ and $B$ are symmetric matrices of the same order, then $(AB - BA)$ is a
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 7
What is $\displaystyle \lim_{x\to 0}\left(\frac{x\tan x}{\cot x}\right)$?
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 8
If $\sec!\left(\dfrac{x-y}{x+y}\right)=a$, then $\dfrac{dy}{dx}$ is
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 9
If $x^{,y}y^{,x}=16$, then $\left.\dfrac{dy}{dx}\right|_{(2,2)}$ is
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 10
The function $f(x)=x+\cos x$ is
Topic: JAMIA MILLIA ISLAMIA MCA 2024
Ask Your Question or Put Your Review.

loading...