Home
Class 12
MATHS
Statement-I If eccentricity of a hyperb...

Statement-I If eccentricity of a hyperbola is 2, then eccentricity of its conjugate hyperbola is `(2)/(sqrt(3))`.
Statement-II if `e and e_1` are the eccentricities of two conjugate hyperbolas, then `ee_1gt1`.

A

Statement-I is true, Statement-II is also true, Statement-II is the correct explanation of Statement-I.

B

Statement-I is true, Statement-II is also true, Statement-II is not the correct explanation of Statement-I.

C

Statement-I is true, Statement-II is false.

D

Statement-I is false, Statement-II is true

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|7 Videos
  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|17 Videos
  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos
  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

If the eccentricity of a hyperbola is sqrt(3) , the eccentricity of its conjugate hyperbola, is

If the eccentricity of a hyperbola is 2, then find the eccentricity of its conjugate hyperbola.

If the eccentricity of a hyperbola is (5)/(3) .Then the eccentricity of its conjugate Hyperbola is

Statement-I (5)/(3) and (5)/(4) are the eccentricities of two conjugate hyperbolas. Statement-II If e_1 and e_2 are the eccentricities of two conjugate hyperbolas, then e_1e_2gt1 .

The eccentricity of rectangular hyperbola is sqrt(2)

Statement- 1 : If 5//3 is the eccentricity of a hyperbola, then the eccentricity of its conjugate hyperbola is 5//4 . Statement- 2 : If e and e' are the eccentricities of hyperbolas (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 and (x^(2))/(a^(2))-(y^(2))/(b^(2))=-1 respectively, then (1)/(e^(2))+(1)/(e'^(2))=1 .

Prove that the eccentricity of a rectangular hyperbola is equal to sqrt2 .

The eccentricity of the hyperbola (x^(2))/(25)-(y^(2))/(16)=1 is