Home
Class 12
MATHS
If x -y+ k = 0 is a tan gen t to the ell...

If x -y+ k = 0 is a tan gen t to the ellip se `9x^(2)+16y^(2)=144` then k =

A

2

B

3

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    AAKASH SERIES|Exercise EXERCISE-II|68 Videos

  • ELLIPSE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|65 Videos

  • ELLIPSE

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|34 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos

  • EXPONENTIAL SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

(i) Find the equations of the tangents to 9x^(2)+16y^(2)=144 , which makes equal inter­cepts on the coordinate axes. (ii) Find the value of k if 4x + y + k = 0 is a tangent to the ellipse x^(2) + 3y^(2) = 3

The eccentricity of the ellipse 9x^(2)+ 16y^(2)= 144 is

If 3x+4y+k=0 is a tangent to the circle x^(2)+y^2=16" then k"=

If x+y+k=0 is a tangent to the circle x^(2)+y^(2)-2x-4y+3=0" then k"=

The equations of the tangents to the ellipse 9x^(2)+16y^(2)=144 at the ends of the latus rectum are

The equation of the tangent to the ellipse 9x^(2)+16y^(2)=144 at the positive end of the latusrectum is

If 3x - 4y + k = 0 is a tangent to x^(2) - 4y^(2) = 5 find the value of k.

The locus of the mid-points of the chords of the circle x^(2) + y^(2) = 16 which are the tangents to the hyperbola 9x^(2) - 16y^(2) = 144 is

The equations of the tangents to the hyperbola 9x^(2) -16y^(2) =144 at the ends of latus rectum are

AAKASH SERIES-ELLIPSE-EXERCISE-I
  1. If e(1) and e(2) are the eccentricites of (x^(2))/(a^(2))+(y^(2))/(b...

    Text Solution

    |

  2. The equation of the tangent to the ellipse 9x^(2)+16y^(2)=144 at the ...

    Text Solution

    |

  3. If x -y+ k = 0 is a tan gen t to the ellip se 9x^(2)+16y^(2)=144 then ...

    Text Solution

    |

  4. The values that m can take so that the straight line y=4x+m touches th...

    Text Solution

    |

  5. The equation of tangent to the ellipse 2x^(2)+3y^(2)=6 which make an a...

    Text Solution

    |

  6. The equations of the tangents to the ellipse 4x^(2)+3y^(2)=5 which are...

    Text Solution

    |

  7. The point of contact 8x-9y+5 = 0 with the ellipse 4x^(2)+9y^(2)=1 is

    Text Solution

    |

  8. The number of tangents to (x^(2))/(9)+(y^(2))/(4)=1 through (3,2) is

    Text Solution

    |

  9. The sum of the slopes of the tangents to the ellipse (x^(2))/(9)+(y^(2...

    Text Solution

    |

  10. The locus of the point of intersection of the perpendicular tangents t...

    Text Solution

    |

  11. Angle between the tangents drawn from the point (5,4) to the ellipse ...

    Text Solution

    |

  12. The tangents drawn from the point P to the ellipse 5x^(2) + 4y^(2) =20...

    Text Solution

    |

  13. The equation to the auxiliary circle of (x^(2))/(7)+(y^(2))/(5)=1 is

    Text Solution

    |

  14. The tangent at any point P on the ellipse meets the tangents at the ve...

    Text Solution

    |

  15. The equation of the normal to the ellipse x^(2)+3y^(2)=144 at the posi...

    Text Solution

    |

  16. The equation of the chord of the ellipse 4x^(2) + 9y^(2)= 36 having (3...

    Text Solution

    |

  17. If p(theta) is a point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

    Text Solution

    |

  18. The dist. of a point P on the ellipse (x^(2))/(12)+(y^(2))/(4)=1 from...

    Text Solution

    |

  19. The eccentric angles of the ends of L.R. of the ellipse (x^(2)/(a^(2)...

    Text Solution

    |

  20. P((pi)/(6)) is a point on the ellipse (x^(2))/(36)+(y^(2))/(9)=1 S,S^(...

    Text Solution

    |