The line y=x intersects the hyperbola x^...

The line `y=x` intersects the hyperbola `x^2/9-y^2/25=1` at the points `P and Q.` The eccentricity of ellipse with `PQ` axis and minor axis of length `5/sqrt2` is (A) `(sqrt 5)/3` (B) `5/(sqrt 3)` (C) `(2(sqrt 2))/3` (D) `3/(sqrt 2)`

`(sqrt(5))/(3)`

`(5)/(sqrt(3))`

`(5)/(9)`

`(25)/(9)`

Text Solution

Verified by Experts

Topper's Solved these Questions

CONIC SECTIONS
MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS (CATEGORY 2 : Single Option Correct Type)|5 Videos
CONIC SECTIONS
MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS (CATEGORY 3 : One or More than One Option Correct Type)|6 Videos
CONIC SECTIONS
MTG-WBJEE|Exercise WB JEE WORKOUT (CATEGORY 3 : One or More than One Option Correct Type)|15 Videos
COMPLEX NUMBERS
MTG-WBJEE|Exercise WB JEE Previous Years Questions (CATEGORY 3 : One or More than One Option Correct Type (2 Marks) )|3 Videos
DEFINITE INTEGRALS
MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 3 : ONE OR MORE THAN ONE OPTION CORRECT TYPE)|5 Videos

Similar Questions

Explore conceptually related problems

The line y=x intersects the hyperbola (x^(2))/(9)-(y^(2))/(25)=1 at the points P and Q. The eccentricity of ellipse with PQ axis and minor axis of length (5)/(sqrt(2)) is (A) (sqrt(5))/(3) (B) (5)/(sqrt(3))(C)(2(sqrt(2)))/(3)(D)(3)/(sqrt(2))

If the major axis of an ellipse is three xx the minor axis,then its eccentricity is equal to (1)/(3) b.(1)/(sqrt(3)) c.(1)/(sqrt(2))d.(2sqrt(2))/(3) e.(3)/(3sqrt(2))

The eccentricity of the hyperbola (sqrt(1999))/(3)(x^(2)-y^(2))=1 , is

The line 9sqrt(3x)+12y=234 sqrt(3) is a normal to the hyperbola (x^(2))/(81)-(y^(2))/(36)=1 at the points

The length of the tangent of the curve y=x^(2)+2 at (1, 3) is (A) sqrt(5) (B) 3sqrt(5) (C) (3)/(2) (D) (3sqrt(5))/(2)

The shortest distance between the line yx=1 and the curve x=y^(2) is (A)(3sqrt(2))/(8) (B) (2sqrt(3))/(8) (C) (3sqrt(2))/(5) (D) (sqrt(3))/(4)

The eccentricity of the ellipse 4x^(2)+9y^(2)=36 is (1)/(2sqrt(3)) b.(1)/(sqrt(3)) c.(sqrt(5))/(3) d.(sqrt(5))/(6)

The length of the tangent of the curve y=x^(2)+2 at (1, 3) is (A) sqrt(5) (B) 3sqrt(5) (C) 3/2 (D) (3sqrt(5))/(2)

MTG-WBJEE-CONIC SECTIONS-WB JEE PREVIOUS YEARS QUESTIONS (CATEGORY 1 : Single Option Correct Type)

The locus of the midpoints of the chords of an ellipse x^(2)+4y^(2)=4 ...
Text Solution
|
For the variable t, the locus of the points of intersection of lines x...
Text Solution
|
The line y=x intersects the hyperbola x^2/9-y^2/25=1 at the points P a...
Text Solution
|
If the distance between the foci of an ellipse is half the length of i...
Text Solution
|
If P be a point on the parabola y^2 = 4ax with focus F. Let Q denote t...
Text Solution
|
if y=4x+3 is parallel to a tangent to the parabola y^2=12x, then its d...
Text Solution
|
The point on the parabola y^2= 64x which is nearest to the line 4x +3y...
Text Solution
|
The value of lambda for which the curve (7x + 5)^2 + (7y + 3)^2 = lam...
Text Solution
|
The equation of the common tangent with positive slope to the parabola...
Text Solution
|
The the vertex of the conic y^(2)-4y=4x-4a always lies between the str...
Text Solution
|
Number of intersecting points of the coincs 4x^2+9y^2=1 and 4x^2+y^2=4...
Text Solution
|
Then equation of auxiliary circle of the ellipse 16x^2 + 25y^2 +32x-10...
Text Solution
|
If P Q is a double ordinate of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1...
Text Solution
|
The line y=x+lambda is a tangent to an ellipse 2x^2+3y^2=1 then
Text Solution
|
The locus of the point of intersection of the straight lines x/a+y/b=k...
Text Solution
|
Let P be the foot of the perpendicular from focus S of hyperbola x^2/a...
Text Solution
|
B is extermity of the minor axis of an elipse whose foci are S and S'....
Text Solution
|
The axis of the parabola x^2+2x y+y^2-5x+5y-5=0 is
Text Solution
|
The line segment joining the foci of the hyperbola x^2 – y^2 +1 = 0 is...
Text Solution
|
The focus of the conic x^(2)-6x+4y+1=0 is
Text Solution
|