Competishun Header
Competishun
Contact Us
Back

Report Issue

JEE MAIN 2021
18-03-21 S2
Question
In a triangle ABC, if $|\overrightarrow{\mathrm{BC}}|=8,|\overrightarrow{\mathrm{CA}}|=7,|\overrightarrow{\mathrm{AB}}|=10$, then the projection of the vector $\overrightarrow{\mathrm{AB}}$ on $\overrightarrow{\mathrm{AC}}$ is equal to:
Select the correct option:
A
$\frac{25}{4}$
B
$\frac{85}{14}$
C
$\frac{127}{20}$
D
$\frac{115}{16}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Solution Image
Question Tags
JEE Main
Mathematics
Medium
Start Preparing for JEE with Competishun
YouTube
Books
App
Tests
Video Solution
BY competishun
Video Solution
Watch Solution
Filters 0
JEE Main
JEE Advance
Easy
Medium
Hard
Showing 18 questions
Q JEE MAIN 20262026
Given below are two statements
Statement I: $\mathrm{H}_2 \mathrm{O}$ molecules move from the chamber 1 to chamber 2 .
Statement II:...
JEE MainChemistryMedium
View Solution→
QJEE-Main_2026
If the curve $y=f(x)$ passes through the point ( $1, \mathrm{e}$ ) and satisfies the differential equation $...
JEE MainMathematicsEasy
View Solution→
QJEE Main 20232023
Let $\stackrel{\mathbb{J}}{\mathrm{a}}=4 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}$ and $\stackrel{\mathrm{b}}{\mathrm{b}}=3 \hat{\mathrm{i}}-4 \hat{\mathrm{j}}+5 \hat{\mathrm{k}}$ and $\stackrel{n}{\mathrm{c}}$ is a vector such that $...
JEE MainMathematicsEasy
View Solution→
QJEE Main 20232023
Let $\alpha_1, \alpha_2, \ldots, \alpha_7$ be the roots of the equation $x^7+3 x^5-13 x^3-15 x=0$ and $...
JEE MainMathematicsEasy
View Solution→
QJEE-Main_2026
$\lim _{x \rightarrow 2} \frac{\sin \left(x^3-5 x^2+a x+b\right)}{(\sqrt{x-1}-1) \log _e(x-1)}=m$, then $a+b+m$ is equal to :
JEE MainMathematicsMedium
View Solution→
QJEE Main 20232023
Let $\alpha=8-14 i, \quad A=\left\{z \in C: \frac{\alpha z-\bar{\alpha} \bar{z}}{z^2-(\bar{z})^2-112 i}=1\right\}$ and $B=\{z \in C:|z+3 i|=4\}$ Then $...
JEE MainMathematicsEasy
View Solution→
QJEE Main 20232023
Let $x=\{11,12,13, \ldots, 40,41\}$ and $Y=\{61,62,63, \ldots, 90,91\}$ be the two sets of observations. If $\bar{x}$ and $\bar{y}$ are their...
JEE MainMathematicsEasy
View Solution→
QJEE Main 20232023
Let $\left\{a_k\right\}$ and $\left\{b_k\right\}, k \in N$, be two G.P.s with common ratio $r_1$ and $r_2$ respectively such that $a_1=b_1=4$...
JEE MainMathematicsEasy
View Solution→
QJEE Main 20232023
Let $A$ be a symmetric matrix such that $|A|=2$ and $...
JEE MainMathematicsEasy
View Solution→
QJEE Main 20232023
If the equation of the normal to the curve $y=\frac{x-a}{(x+b)(x-2)}$ at the point $(1,-3)$ is $x-4 y=13$, then the value...
JEE MainMathematicsEasy
View Solution→
QJEE Main 20232023
Let $a_1=b_1=1$ and $a_n=a_{n-1}+(n-1), b_n=b_{n-1}+a_{n-1}, \forall n \geq 2$. If $\sum_{n=1}^{10} \frac{b_n}{2^n}$ and $T=\sum_{n=1}^8 \frac{n}{2^{n-1}}$, then $2^7(2 S-$ T )...
JEE MainMathematicsEasy
View Solution→
QJEE Main 20232023
A circle with centre $(2,3)$ and radius 4 intersects the line $x+y=3$ at the points $P$ and $Q$. If the...
JEE MainMathematicsEasy
View Solution→
QJEE Main 20232023
A triangle is formed by the tangents at the point $(2,2)$ on the curves $y^2=2 x$ and $x^2+y^2=4 x$, and...
JEE MainMathematicsEasy
View Solution→
QJEE-Main_2026
Let a line $L$ passing through the point $(1,1,1)$ be perpendicular to both the vectors $2 \hat{i}+2 \hat{j}+\hat{k}$ and $...
JEE MainMathematicsEasy
View Solution→
QJEE Main 20232023
The total number of 4-digit numbers whose greatest common divisor with 54 is 2 , is $\_\_\_\_$ .
JEE MainMathematicsEasy
View Solution→
QJEE Main 20232023
Consider a function $f: N \rightarrow R$, satisfying $f(1)+2 f(2)+3 f(3)+\ldots+x f(x)=x(x+1) f(x) ; x \geq 2$ with $f(1)=1$. Then...
JEE MainMathematicsEasy
View Solution→
QJEE Main 20232023
Let $R$ be a relation defined on $N$ as a $R b$ is $2 a+3 b$ is a multiple of...
JEE MainMathematicsEasy
View Solution→
QJEE Main 20232023
The number of 3 digit numbers, that are divisible by either 3 or 4 but not divisible by 48 ,...
JEE MainMathematicsEasy
View Solution→