Let e(1) be the eccentricity of the hype...

Let `e_(1)` be the eccentricity of the hyperbola `(x^(2))/(16)-(y^(2))/(9)=1` and `e_(2)` be the eccentricity of the ellipse `x^(2)/a^2+(y^(2))/(b^(2))=1,a>b` ,which passes through the foci of the hyperbola.If `e_(1)e_(2)=1` ,then the length of the chord of the ellipse parallel to the "x" -axis and passing through `(0,2)` is :

A

`(10sqrt5)/3`

B

`(8sqrt5)/3`

C

`(4sqrt5)`

D

`(3sqrt5)`

Text Solution

AI Generated Solution

Topper's Solved these Questions

JEE MAIN 2024
JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos
JEE MAINS
JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

Similar Questions

Explore conceptually related problems

If e_(1) is the eccentricity of the hyperbola (x^(2))/(36)-(y^2)/(49) =1 and e_(2) is the eccentricity of the hyperbola (x^(2))/(36)-(y^2)/(49) =-1 then

If e' is the eccentricity of the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) =1 (a gt b) , then

If e is the eccentricity of the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 (a lt b ) , then ,

If e is eccentricity of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 (where,a lt b), then

If e_(1) is the eccentricity of the ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and e_(2) is the eccentricity of the hyperbola (x^(2))/(9)-(y^(2))/(b^(2))=1 and e_(1)e_(2)=1 then b^(2) is equal to

e_(1) is the eccentricity of the ellipse (x^(2))/(25)+(y^(2))/(b^(2))=1 and e_(2) is the eccentricity of the hyperbola (x^(2))/(16)-(y^(2))/(b^(2))= 1 such that e_(1),e_(2) = 1 find the value of b

The eccentricity of the hyperbola 16x^(2)-9y^(2)=1 is The eccentricity of the hyperbola 16x^(2)-9y^(2)=1 is

Let the eccentricity of the hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1 be reciprocal to that of the ellipse x^(2) + 4y^(2) = 4 . If the hyperbola passes through a focus of the ellipse, then

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question

Let the image of the point "(1,0,7)" in the line (x)/(1)=(y-1)/(2)=(z-...
Text Solution
|
If 2tan^2theta-5sectheta=1 has exactly 7 solutions in [0,(npi)/2] for ...
Text Solution
|
Let e(1) be the eccentricity of the hyperbola (x^(2))/(16)-(y^(2))/(9)...
Text Solution
|
lim(x rarr0)(3+alpha sin x+beta cos x+log(e)(1-x))/(3tan^(2)x)=(1)/(3)...
Text Solution
|
The values of alpha ,for which [[1,(3)/(2),alpha+(3)/(2)],[1,(1)/(3),a...
Text Solution
|
The integral int((x^(8)-x^(2))dx)/((x^(12)+3x^(6)+1)tan^(-1)(x^(3)+(1)...
Text Solution
|
Let g(x)=3f((x)/(3))+f(3-x) and f''(x)>0 for all x in(0,3). If "g" is ...
Text Solution
|
If y=y(x) is the solution curve of the differential equation (x^(2)-4)...
Text Solution
|
Let "A" and "B" be two finite sets with "m" and "n" elements respectiv...
Text Solution
|
If the point (a^2,a+1) lies in the angle between the lines 3x-y+1=0 an...
Text Solution
|
If alpha,beta are the roots of the equation,x^(2)-x-1=0 and S(n)=2023 ...
Text Solution
|
If the solution curve,of the differential equation (dy)/(dx)=(x+y-2)/(...
Text Solution
|
Consider a circle (x-alpha)^(2)+(y-beta)^(2)=50 ,where alpha,beta>0 .I...
Text Solution
|
Let the complex numbers alpha and (1)/(bar(alpha)) lie on the circles ...
Text Solution
|
The mean and standard deviation of "15" observations were found to be ...
Text Solution
|
A is the area of region 0leylemin(2x,6x-x^2), then find 12A
Text Solution
|
The lines (x-2)/(2)=(y)/(-2)=(z-7)/(16) and (x+3)/(4)=(y+2)/(3)=(z+2)/...
Text Solution
|
If the sum of squares of all real values of "alpha" ,for which the lin...
Text Solution
|
f(x)=int(0)^(x)g(t)log(e)((1-t)/(1+t))dt ,where "g" is a continuous od...
Text Solution
|
The coefficient of x^2012 in the expansion of (1 - x)^2008 (1+x+x^2)...
Text Solution
|