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Statement-I (5)/(3) and (5)/(4) are the ...

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`.

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

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The correct Answer is:
B
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Knowledge Check

  • 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
  • If e and e' are the eccentricities of a hyperbola and its conjugate, then 1/e^2+1/(e')^2 is equal to

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    0
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    2
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    3
  • If e_(1) and e_(2) are the eccentricities of a hyperbola 3x^(2)-3y^(2)=25 and its conjugate, then

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    `e_(10^(2) + e_(2)^(2)=2`
    B
    `e_(1)^(2) + e_(2)^(2)=4`
    C
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    D
    `e_(1) + e_(2) = sqrt2`
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