Let a circle C of radius 5 lie | Circle | JEE-MAIN 2022

Competishun Header

JEE MAIN 2022

27-6-2022 S2

Question

Let a circle C of radius 5 lie below the $x$-axis. The line $L_1=4 x+3 y-2$ passes through the centre $P$ of the circle $C$ and intersects the line $L_2: 3 x-4 y-11=0$ at $Q$. The line $L_2$ touches $C$ at the point $Q$. Then the distance of $P$ from the line $5 x-12 y+51=0$ is

Write Your Answer

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

Start Preparing for JEE with Competishun

Filters 0

Showing 18 questions

QJEE Main 20242024

A series LCR circuit is subjected to an AC signal of $200 \mathrm{~V}, 50 \mathrm{~Hz}$. If the voltage across the...

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

A man carrying a monkey on his shoulder does cycling smoothly on a circular track of radius 9 m and...

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

The electrostatic force $\left(\overrightarrow{\mathrm{F}}_1\right)$ and magnetic force ( $\overrightarrow{\mathrm{F}}_2$ ) acting on a charge q moving with velocity v can...

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

A particle moves in $x-y$ plane under the influence of a force $\vec{F}$ such that its linear momentum is $...

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

If n is the number density and d is the diameter of the molecule, then the average distance covered by...

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

The vehicles carrying inflammable fluids usually have metallic chains touching the ground :

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

A galvanometer of resistance $100 \Omega$ when connected in series with $400 \Omega$ measures a voltage of upto 10 V...

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

The angular momentum of an electron in a hydrogen atom is proportional to : (Where r is the radius of...

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

Which of the following statement is not true about stopping potential $\left(\mathrm{V}_0\right)$ ?

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

Given below are two statements :
Statement I : When the white light passed through a prism, the red...

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

Consider the matrices : $\mathrm{A}=\left[\begin{array}{rr}2 & -5 \\ 3 & \mathrm{~m}\end{array}\right], \mathrm{B}=\left[\begin{array}{c}20 \\ \mathrm{~m}\end{array}\right]$ and $X=\left[\begin{array}{l}x \\ y\end{array}\right]$. Let the...

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

Let the inverse trigonometric functions take principal values. The number of real solutions of the equation $...

JEE MainMathematicsEasy

View Solution→

QJEE Main 20242024

If $\left(\frac{1}{\alpha+1}+\frac{1}{\alpha+2}+\cdots .+\frac{1}{\alpha+1012}\right)-\left(\frac{1}{2 \cdot 1}+\frac{1}{4 \cdot 3}+\frac{1}{6 \cdot 5}+\cdots .+\frac{1}{2024 \cdot 2023}\right)=\frac{1}{2024}$, then $\alpha$ is equal to-

JEE MainMathematicsEasy

View Solution→

QJEE Main 20242024

The square of the distance of the image of the point $(6,1,5)$ in the line $\frac{x-1}{3}=\frac{y}{2}=\frac{z-2}{4}$, from the origin is

JEE MainMathematicsEasy

View Solution→

QJEE Main 20242024

Let $\mathrm{A}, \mathrm{B}$ and C be three points on the parabola $y^2=6 x$ and let the line segment $A B$...

JEE MainMathematicsEasy

View Solution→

QJEE Main 20242024

Let $A=\{(x, y): 2 x+3 y=23, x, y \in N\}$ and $\mathrm{B}=\{\mathrm{x}:(\mathrm{x}, \mathrm{y}) \in \mathrm{A}\}$. Then the number of one-one...

JEE MainMathematicsEasy

View Solution→

QJEE Main 20242024

The number of integers, between 100 and 1000 having the sum of their digits equals to 14, is

JEE MainMathematicsEasy

View Solution→

QJEE Main 20242024

For a differentiable function $\mathrm{f}: I R \rightarrow I R$, suppose $f^{\prime}(\mathrm{x})=3 f(\mathrm{x})+\alpha$, where $\alpha \in \mathrm{IR}, f(0)=1$ and $...

JEE MainMathematicsEasy

View Solution→