Home
Class 12
MATHS
Length of common tangents to the hyperbo...

Length of common tangents to the hyperbolas `x^2/a^2-y^2/b^2=1` and `y^2/a^2-x^2/b^2=1` is

A

`x+y=sqrt(a^(2)-b^(2))`

B

`x-y=sqrt(a^(2)-b^(2))`

C

`x+y=-sqrt(a^(2)-b^(2))`

D

`x-y=-sqrt(a^(2)-b^(2))`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS (CATEGORY 1 : Single Option Correct Type)|32 Videos
  • 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 WORKOUT (CATEGORY 2 : Single 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

Find the equations to the common tangents to the two hyperbolas (x^(2))/(a^(2))-1 and (y^(2))/(a^(2))-(x^(2))/(b^(2))=1

Find the equations to the common tangents to the two hyperbolas (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 and (y^(2))/(a^(2))-(x^(2))/(b^(2))=1

The equations (s) to common tangent (s) to the two hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1 " and " y^(2)/a^(2) - x^(2)/b^(2) = 1 is /are

Show that there cannot be any common tangent to the hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1 and its conjugate hyperbola.

The slopes of the common tangents of the hyperbolas (x^(2))/(9)-(y^(2))/(16)=1 and (y^(2))/(9)-(x^(2))/(16)=1 , are

The values of 'm' for which a line with slope m is common tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 and parabola y^(2)=4ax can lie in interval:

Find the common tangents to the hyperbola x^(2)-2y^(2)=4 and the circle x^(2)+y^(2)=1