Home
Class 12
MATHS
If e and e' be the eccentricities of a h...

If e and e' be the eccentricities of a hyperbola and its conjugate , then `1/e^2+1/(e'^2)` equals :

A

0

B

1

C

2

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    MODERN PUBLICATION|Exercise Multiple Choice Questions - LEVEL - II|20 Videos

  • HYPERBOLA

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|2 Videos

  • HEIGHTS AND DISTANCES

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|1 Videos

  • INDEFINITE INTEGERALS

    MODERN PUBLICATION|Exercise RCQs Recent Competitive Questions (Questions From Karnataka CET & COMED)|12 Videos

Similar Questions

Explore conceptually related problems

If e_(1) and e_(2) are the eccentricities of a hyperbola and its conjugate then

If e_1 and e_2 are the eccentricities of a hyperbola and its conjugate then prove that (1)/(e_1^2)+(1)/(e_2^2)=1 .

If e and e^(prime) are eccentricities of a hyperbola its conjugate, then (1)/(e^(2))+(1)/((e^(1))^(2))=

If e and e' be the eccentricities of a hyperbolas xy=c^2 and x^2-y^2=c^2 , then e^2+e'2 equals :

If e_(1)ande_(2) are the ecentricities of a hyperbola 3x^(2)-2y^(2)=25 and its conjugate , then

If e_(1) is the eccentricity of the ellipse (x^(2))/(16)+(y^(2))/(25)=1 and e_(2) is the eccentricity of the hyperbola passing through the foci of the ellipse and e_(1) . e_(2)=1 , then the equation of the hyperbola

If e and e' are the eccentricities of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2)) =1 and (y^(2))/(b^(2))-(x^(2))/(a^(2))=1 , then the point ((1)/(e),(1)/(e')) lies on the circle:

If e_1 and e_2 are eccentricities of two hyperbolas : x^2/a^2-y^2/b^2=1 and x^2/b^2-y^2/a^2=1 , then :

The eccentricity of a hyperbola is (5)/(3) then the eccentricity of its conjugate is

If the eceentricity of a hyperbola is sqrt(7) then the eccentricity of its conjugate hyperbola is