New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Circle question

2022 · 27 Jun · Shift 1 · Q41

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

PYQ Library
JEE Main
Mathematics
Circle
2022 · 27 Jun · Shift 1 · Q41

Circle question

2022 · 27 Jun · Shift 1 · Q41

JEE MainMathematicsCircleNumerical+4 / −1

A rectangle R with end points of one of its sides as (1, 2) and (3, 6) is inscribed in a circle. If the equation of a diameter of the circle is 2x

-

y + 4 = 0, then the area of R is

\underline{\hspace{2cm}}

.

Numerical answer

More from Circle

The set of values of k, for which the circle $C : 4 x^{2} + 4 y^{2} - 12 x + 8 y + k = 0$ lies inside the fourth quadrant and the point $(1, - \frac{1}{3})$ lies on or inside the circle C, is :2022 · MCQ
For $t \in (0, 2 π)$ , if $ABC$ is an equilateral triangle with vertices $A (sin t, - cos t), B (cost, sin t)$ and $C (a, b)$ such that its orthocentre lies on a circle with centre…2022 · MCQ
Let $C$ be the centre of the circle $x^{2} + y^{2} - x + 2 y = \frac{11}{4}$ and $P$ be a point on the circle. A line passes through the point $C$ , makes an angle of $\frac{π}{4}$ with the line $CP$ and intersects the circle at…2022 · MCQ
If one of the diameters of the circle $x^{2} + y^{2} - 22 x - 62 y + 14 = 0$ is a chord of the circle $(x - 22)^{2} + (y - 22)^{2} = r^{2}$ , then the value of r2 is equal to .2022 · Numerical
Let the mirror image of a circle $c_{1} : x^{2} + y^{2} - 2 x - 6 y + α = 0$ in line $y = x + 1$ be $c_{2} : 5 x^{2} + 5 y^{2} + 10 g x + 10 f y + 38 = 0$ . If $r$ is the radius of circle $c_{2}$ , then $α + 6 r^{2}$ is equal to …2022 · Numerical
Let $A B$ be a chord of length 12 of the circle $(x - 2)^{2} + (y + 1)^{2} = \frac{169}{4}$ . If tangents drawn to the circle at points $A$ and $B$ intersect at the point $P$ , then five times the distance of point from chord $A B$ is equal to …2022 · Numerical
$Let S = {(x, y) \in N \times N : 9 (x - 3)^{2} + 16 (y - 4)^{2} \leq 144}$ and $T = {(x, y) \in R \times R : (x - 7)^{2} + (y - 4)^{2} \leq 36}$ . Then $n (S \cap T)$ is equal to …2022 · Numerical
Let a triangle ABC be inscribed in the circle $x^{2} - 2 (x + y) + y^{2} = 0$ such that $∠ B A C = \frac{π}{2}$ . If the length of side AB is $2$ , then the area of the $Δ$ ABC is equal to :2022 · MCQ