Competishun
Contact Us
Back

Report Issue

JEE MAIN 2026
21-01-2026 S1
Question
Let PQ and MN be two straight lines touching the circle $x^2+y^2-4 x-6 y-3=0$ at the points A and B respectively. Let O be the centre of the circle and $\angle \mathrm{AOB}=\pi / 3$. Then the locus of the point of intersection of the lines $P Q$ and $M N$ is :
Select the correct option:
A
$3\left(x^2+y^2\right)-18 x-12 y+25=0$
B
$x^2+y^2-12 x-18 y-25=0$
C
$x^2+y^2-18 x-12 y-25=0$
D
$3\left(x^2+y^2\right)-12 x-18 y-25=0$
✓ 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
Filters 0
JEE Main
JEE Advance
Easy
Medium
Hard
Showing 18 questions
QJEE Advance 20132013
A uniform circular disc of mass 50 kg and radius 0.4 m is rotating with an angular velocity of $...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20132013
Match List I with List II and select the correct answer using the codes given below the lists:
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20122012
$29.2 \%(\mathrm{w} / \mathrm{w}) \mathrm{HCl}$ stock solution has a density of $1.25 \mathrm{~g} \mathrm{~mL}^{-1}$. The molecular weight of HCl is...
JEE AdvanceChemistryEasy
View Solution→
QJEE Advance 20122012
The periodic table consists of 18 groups. An isotope of copper, on bombardment with protons, undergoes a nuclear reaction yielding...
JEE AdvanceChemistryEasy
View Solution→
QJEE Advance 20122012
The substituents $R_1$ and $R_2$ for nine peptides are listed in the table given below. How many of these peptides...
JEE AdvanceChemistryEasy
View Solution→
QJEE Advance 20132013
A point charge $Q$ is moving in a circular orbit of radius $R$ in the $x-y$ plane with an angular...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20132013
A point charge $Q$ is moving in a circular orbit of radius $R$ in the $x-y$ plane with an angular...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20122012
When the following aldohexose exists in its D-configuration, the total number of stereoisomers in its pyranose form is :
JEE AdvanceChemistryEasy
View Solution→
QJEE Advance 20132013
A thermal power plant produces electric power of 600 kW at 4000 V , which is to be transported to...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20122012
An organic compound undergoes first-order decomposition. The time taken for its decomposition to $1 / 8$ and $1 /$ 10...
JEE AdvanceChemistryEasy
View Solution→
QJEE Advance 20132013
A thermal power plant produces electric power of 600 kW at 4000 V , which is to be transported to...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20122012
Which of the following halides react(s) with $\mathrm{AgNO}_3(\mathrm{aq})$ to give a precipitate that dissolves in $\mathrm{Na}_2 \mathrm{~S}_2 \mathrm{O}_3(\mathrm{aq})$ ?
JEE AdvanceChemistryEasy
View Solution→
QJEE Advance 20122012
Choose the correct reason(s) for the stability of the lyophobic colloidal particles.
JEE AdvanceChemistryEasy
View Solution→
QJEE Advance 20122012
Which of the following molecules, in pure form, is (are) unstable at room temperature?
JEE AdvanceChemistryEasy
View Solution→
QJEE Advance 20122012
For an ideal gas, consider only $\mathrm{P}-\mathrm{V}$ work in going from an initial state X to the final stat $Z$....
JEE AdvanceChemistryEasy
View Solution→
QJEE Advance 20122012
The colour of light absorbed by an aqueous solution of $\mathrm{CuSO}_4$ is :
JEE AdvanceChemistryEasy
View Solution→
QJEE Advance 20132013
A solid sphere of radius $R$ and density $\rho$ is attached to one end of a mass-less spring of force...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20132013
A particle of mass $M$ and positive charge $Q$, moving with a constant velocity $\vec{u}_1=4 \hat{i} \mathrm{~ms}^{-1}$, enters a region...
JEE AdvancePhysicsEasy
View Solution→