New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Circle question

2024 · 5 Apr · Shift 2 · Q31

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Circle
2024 · 5 Apr · Shift 2 · Q31

Circle question

2024 · 5 Apr · Shift 2 · Q31

JEE MainMathematicsCircleMCQ+4 / −1

Let the circle

C_1: x^2+y^2-2(x+y)+1=0

and

\mathrm{C_2}

be a circle having centre at

(-1,0)

and radius 2 . If the line of the common chord of

\mathrm{C}_1

and

\mathrm{C}_2

intersects the

\mathrm{y}

-axis at the point

\mathrm{P}

, then the square of the distance of P from the centre of

\mathrm{C_1}

is:

A
4
B
6
C
2
D
1

More from Circle

Let ABCD and AEFG be squares of side 4 and 2 units, respectively. The point E is on the line segment AB and the point F is on the diagonal AC. Then the radius r of the circle passing through the point F and touching the line segments BC…2024 · MCQ
A circle is inscribed in an equilateral triangle of side of length 12. If the area and perimeter of any square inscribed in this circle are $m$ and $n$ , respectively, then $m + n^{2}$ is equal to2024 · MCQ
If $P (6, 1)$ be the orthocentre of the triangle whose vertices are $A (5, - 2), B (8, 3)$ and $C (h, k)$ , then the point $C$ lies on the circle :2024 · MCQ
Let the circles $C_{1} : (x - α)^{2} + (y - β)^{2} = r_{1}^{2}$ and $C_{2} : (x - 8)^{2} + (y - \frac{15}{2})^{2} = r_{2}^{2}$ touch each other externally at the point $(6, 6)$ . If the point $(6, 6)$ divides the line segment joining the centres of the circles…2024 · MCQ
If the image of the point $(- 4, 5)$ in the line $x + 2 y = 2$ lies on the circle $(x + 4)^{2} + (y - 3)^{2} = r^{2}$ , then $r$ is equal to:2024 · MCQ
Let a circle passing through $(h, k)$ have its centre at the point $(x_{c}, y_{c})$ . Let $(x_{c}, y_{c})$ be the point of intersection of the lines $3 x + 5 y = 1$ and $(2 + c) x + 5 c^{2} y = 1$ . If $h = lim_{c \to 1} x_{c}$ …2024 · MCQ
Let the centre of a circle, passing through the points $(0, 0), (1, 0)$ and touching the circle $x^{2} + y^{2} = 9$ , be $(h, k), 4 (h^{2} + k^{2})$ . Then for all possible values of the coordinates of the centre $(h, k), 4 (h^{2} + k^{2})$ is equal to …2024 · Numerical
Four distinct points $(2 k, 3 k), (1, 0), (0, 1)$ and $k$ lie on a circle for $k$ equal to :2024 · MCQ