Home
Class 12
MATHS
If a tangent to the ellipse (x^(2))/(a^(...

If a tangent to the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` makes equal intercepts of length l on cordinates axes, then the values of l is

A

`a^2 + b^2`

B

`sqrt(a^2 + b^2)`

C

`(a^2 + b^2)^2`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THE ELLIPSE

    ML KHANNA|Exercise PROBLEM SET (2) (True and False)|4 Videos

  • THE ELLIPSE

    ML KHANNA|Exercise PROBLEM SET (2) (Fill in the blanks)|6 Videos

  • THE ELLIPSE

    ML KHANNA|Exercise PROBLEM SET (1) (Fill in the blanks)|4 Videos

  • THE CIRCLE

    ML KHANNA|Exercise Self Assessment Test (Fill in the blanks) |7 Videos

  • THE HYPERBOLA

    ML KHANNA|Exercise SELF ASSESSMENT TEST |4 Videos

Similar Questions

Explore conceptually related problems

If any tangent to the ellipse (x^(2))/(a^(0))+(y^(2))/(b^(2))=1 intercepts equal lengths l on the axes,then find l.

Find the equation of the tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 which makes equal intercepts on the axes

If any tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 cuts off intercepts of length h and k on the axes,then (a^(2))/(h^(2))+(b^(2))/(k^(2))=(A)0(B)1(C)-1(D) Non of these

If a chord of a the circle x^(2)+y^(2) = 32 makes equal intercepts of length of l on the co-ordinate axes, then

If the tangent to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 makes intercepts p and q on the coordinate axes, then a^(2)/p^(2) + b^(2)/q^(2) =

If any tangent to the ellipse (x^(2))/(16) + (y^(2))/(9) = 1 intercepts equal lengths l on the both axis, then l =

If a chord of circle x^(2)+y^(2)=8 makes equal intercepts of length a on the coordinate axes then |a|<

A tangent to the ellipse 16x^(2)+9y^(2)=144 making equal intercepts on both the axes is

ML KHANNA-THE ELLIPSE-PROBLEM SET (2) (Multiple Choice Questions)
  1. From a point on the axis of x common tangents are drawn to the parabol...

    Text Solution

    |

  2. The line x cos alpha + y sin alpha +y sin alpha =p is tangent to ...

    Text Solution

    |

  3. If a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 makes eq...

    Text Solution

    |

  4. An ellipse passes through the point (4,-1) and touches the line x+4...

    Text Solution

    |

  5. If a tangent having a slope of -4/3 to the ellipse x^2/18 + y^2/32 = 1...

    Text Solution

    |

  6. The sum of the squares of the perpendiculars on any tangents to the ...

    Text Solution

    |

  7. The product of the perpendiculars drawn from the two foci of an ellips...

    Text Solution

    |

  8. The points (1, -1) and (2, - 1) are the foci of an ellipse and the lin...

    Text Solution

    |

  9. If F1 and F2 be the feet of the perpendiculars from the foci S1 and S2...

    Text Solution

    |

  10. if the tangent at the point (4 cos phi , (16)/(sqrt(11) )sin phi ...

    Text Solution

    |

  11. The length of a common tangent to x^2 + y^2 = 16 and 9x^2 + 25y^2 = 22...

    Text Solution

    |

  12. If x/a + y/b = sqrt(2) touches the ellipse (x^2)/(a^2) + (y^2)/(b^2) =...

    Text Solution

    |

  13. If sqrt(3) bx +ay = 2ab touches the ellipse (x^2)/(a^2) + (y^2)/(b^2) ...

    Text Solution

    |

  14. The eccentric angle of a point P lying in the first quadrant on the el...

    Text Solution

    |

  15. If theta is the angle between the pair of tangents drawn to the ellips...

    Text Solution

    |

  16. Two perpendicular tangents drawn to the ellipse (x^2)/(25)+(y^2)/(16)=...

    Text Solution

    |

  17. An ellipse slides between two perpendicular lines the locus of ...

    Text Solution

    |

  18. The line 2x+y=3 cuts the ellipse 4x^(2)+y^(2)=5 at points P and Q. If ...

    Text Solution

    |

  19. If the normal at one end of the latus rectum of the ellipse (x^2)/(...

    Text Solution

    |

  20. Find the equation of the normal to the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

    Text Solution

    |