JEE Maths PYQ Practice, chapter-wise

JEE Main 2021 (Online) 26th February Evening ShiftQuestion 1

Let $A(1,4)$ and $B(1,-5)$ be two points. Let $P$ be a point on the circle $(x-1)^{2}+(y-1)^{2}=1$ such that $(PA)^{2}+(PB)^{2}$ have maximum value, then the points, $P$, $A$ and $B$ lie on :

Circle

an ellipsea hyperbolaa parabolaa straight line

JEE Main 2021 (Online) 18th March Morning ShiftQuestion 2

Choose the correct statement about two circles whose equations are given below : $x^{2}+y^{2}-10x-10y+41=0$ $x^{2}+y^{2}-22x-10y+137=0$

Circle

circles have two meeting pointscircles have no meeting pointcircles have only one meeting pointcircles have same centre

JEE Main 2021 (Online) 17th March Evening ShiftQuestion 3

Let the tangent to the circle $x^{2}+y^{2}=25$ at the point $R(3,4)$ meet $x$-axis and $y$-axis at points $P$ and $Q$, respectively. If $r$ is the radius of the circle passing through the origin $O$ and having centre at the incentre of the triangle $OPQ$, then $r^{2}$ is equal to :

Circle

$\frac{125}{72}$$\frac{625}{72}$$\frac{529}{64}$$\frac{585}{66}$

JEE Main 2021 (Online) 3rd August Morning ShiftQuestion 4

The sum of the values of '$a$' for which circles of radius $\frac{\sqrt{5}}{3}$, touch the straight lines, $x-2y-a=0$ and $3x-6y+7=0$, is

Circle

$\frac{14}{3}$$-\frac{20}{3}$$\frac{10}{3}$$-\frac{14}{3}$

JEE Main 2021 (Online) 4th August Morning ShiftQuestion 5

Consider a family of circles which pass through the point $(1,1)$ and touch the axis of $y$. If the centre of such a circle is at $(h,k)$, then the set of all values of $h$ is the interval

Circle

$\left[\frac{1}{2},\infty\right)$$\left[\frac{1}{4},\infty\right)$$\left(0,\frac{1}{2}\right)$$\left[\frac{1}{2},1\right]$