Question:
The length of the common chord of the ellipse $\frac{(x+1)^{2}}{9}+\frac{(y-2)^{2}}{4}=1$ and the circle $x-1^{2}+y-2^{2}=1$ is
The length of the common chord of the ellipse $\frac{(x+1)^{2}}{9}+\frac{(y-2)^{2}}{4}=1$ and the circle $x-1^{2}+y-2^{2}=1$ is
Updated On: Dec 19, 2025
- 0
- $\bar{3}$
- 4
- 5
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Given : ellipse equation : $\div(x+1)^{2} 9+\div(y-2)^{2} 4=1$
Circle equation : $(x-1)^{2}+(y-2)^{2}=1$
$\therefore$ center of ellipse $=(-1,2)$
$a =3, b =2$
$\therefore$ length of major axis is $6$
$\therefore$ length of minor is $4$
$\Rightarrow$ center of circle is $(1,2$ with radius $r=1)$
$ \Rightarrow $ so, wecanseeindiagramthatthetwoareasdoesnotintersectortoucheachlengthiso
$\Rightarrow$ Hence, The length of common chord of the ellipse and circle is Zero(o).
Circle equation : $(x-1)^{2}+(y-2)^{2}=1$
$\therefore$ center of ellipse $=(-1,2)$
$a =3, b =2$
$\therefore$ length of major axis is $6$
$\therefore$ length of minor is $4$
$\Rightarrow$ center of circle is $(1,2$ with radius $r=1)$
$ \Rightarrow $ so, wecanseeindiagramthatthetwoareasdoesnotintersectortoucheachlengthiso
$\Rightarrow$ Hence, The length of common chord of the ellipse and circle is Zero(o).
Was this answer helpful?
0
0
Top BITSAT Mathematics Questions
- The solution of $\sin^{-1}\,x-\sin^{-1}\,2x=\pm\frac{\pi}{3}$ is
- If one root of the quadratic equation $a x^{2}+b x+c=0$ is equal to $n^{\text {th }}$ power of the other root, then the value of: $a^{\frac{n}{n-1}} C^{\frac{1}{n-1}}+c^{\frac{n}{n-1}} a^{\frac{1}{n-1}}$ is equal to
- $(x -1) (x^2 - 5x + 7) < (x -,1),$ then $x$ belongs to
- An ellipse has $OB$ as semi-minor axis, $F$ and $F$ are its foci and the $\angle FBF$, is a right angle. Then, the eccentricity of the ellipse is
- $2^{1/4}. 2^{2/8}. 2^{3/16}. 2^{4/32}......\infty$ is equal to-
View More Questions
Top BITSAT Conic sections Questions
Top BITSAT Questions
- Two point charges $-q$ and $+ q$ are located at point's $(0, 0, - a)$ and, $(0, 0, a)$ respectively. The electric potential at a point $(0, 9, z)$, where $z > a$ is
- Which of the following must be known in order to determine the power output of an automobile?
- A large drop of oil (density $0.8 \,g / cm ^{3}$ and viscosity $\eta_{0}$ ) floats up through a column of another liquid (density $1.2\, g / cm ^{3}$ and viscosity $\eta_{L}$ ). Assuming that the two liquids do not mix, the velocity with which the oil drop rises will depend on :
- A body is projected vertically upwards at time $ t = 0$ and it is seen at a height $H$ at time $t_1$ and $t_2$ second during its flight. The maximum height attained is ($g$ is acceleration due to gravity)
- At what point of a projectile motion, acceleration and velocity are perpendicular to each other ?
View More Questions