You visited us 1 times! Enjoying our articles? Unlock Full Access!

Eccentricity of Hyperbola

e1 and e2 are...

Question

$e_{1}$ and $e_{2}$ are the eccentricities of two conics S and $S^{1}$ . If ${e_{1}}^{2} + {e_{2}}^{2}$ = 3 then both S and $S^{1}$ can be

ellipse

No worries! We‘ve got your back. Try BYJU‘S free classes today!

parabolas

No worries! We‘ve got your back. Try BYJU‘S free classes today!

hyperbolas

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

circles

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
hyperbolas

Given $e_{1}^{2} + e_{2}^{2} = 3$ $∴$ $e_{1} a n d e_{2} > 1)$

$∴$ Both are hyperbolas .

Suggest Corrections

Similar questions

$e_{1}$ and $e_{2}$ are the eccentricities of two conics S and $S^{1}$ . If ${e_{1}}^{2} + {e_{2}}^{2}$ = 3 then both S and $S^{1}$ can be

Q. If

e_{1}

and

e_{2}

are the eccentricities of two conics with

e_{1}^{2} + e_{2}^{2} = 3

, then the conics are.

$I f e_{1} i s t h e e c c e n t r i c i t y o f t h e c o n i c 9 x^{2} + 4 y^{2} = 36 a n d e^{2} i s t h e e c c e n t r i c i t y o f t h e c o n i c 9 x^{2} - 4 y^{2} = 36, t h e n$

Q. If

e

and

e^{'}

be the eccentricities of two conics

S

and

S^{'}

such that

e^{2} + (e^{'})^{2} = 3,

then both

S

and

S^{'}

are

Q. If

e

and

e^{'}

be the eccentricities of two conics

S

=

0

and

S^{'}

=

0

and if

e^{2} + e^{' 2} = 3

, then both

S

and

S^{'}

can be

Join BYJU'S Learning Program

e1 and e2 are the eccentricities of two conics S and S1. If e12+e22 = 3 then both S and S1 can be

The correct option is C hyperbolas Given e21+e22=3 ∴ e1ande2>1) ∴ Both are hyperbolas .

$e_{1}$ and $e_{2}$ are the eccentricities of two conics S and $S^{1}$ . If ${e_{1}}^{2} + {e_{2}}^{2}$ = 3 then both S and $S^{1}$ can be

The correct option is C
hyperbolas

Given $e_{1}^{2} + e_{2}^{2} = 3$ $∴$ $e_{1} a n d e_{2} > 1)$

$∴$ Both are hyperbolas .