Home
Class 12
MATHS
If 5x + 9 = 0 is the directrix of the hy...

If 5x + 9 = 0 is the directrix of the hyperbola `16x^(2)-9y^(2)=144` then its corresponding focus is

A

`((-5)/3,0)`

B

(5, 0)

C

(-5, 0)

D

`((5)/3,0)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MODAL QUESTION PAPER

    SURA PUBLICATION|Exercise PART - II|20 Videos

  • MODAL QUESTION PAPER

    SURA PUBLICATION|Exercise PART - III|20 Videos

  • MODAL QUESTION PAPER

    SURA PUBLICATION|Exercise SECTION - IV|13 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS ( 5 MARKS)|6 Videos

  • ORDINARY DIFFERENTIAL EQUATIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS|24 Videos

Similar Questions

Explore conceptually related problems

The vertices of the hyperbola 9x^2 - 16y^2 = 144

Find the vertices, foci for the hyperbola 9x^(2)-16y^(2)=144 .

Find the vertices, foci for the hyperbola 9x^(2)-16y^(2)=144.

If x=9 is the chord of contact of the hyperbola x^2-y^2=9 then the equation of the corresponding pair of tangents is (A) 9x^2-8y^2+18x-9=0 (B) 9x^2-8y^2-18x+9=0 (C) 9x^2-8y^2-18x-9=0 (D) 9x^2-8y^2+18x+9=0

Find all the aspects of hyperbola 16x^(2)-3y^(2)-32x+12y-44=0.

If e_(1) is the eccentricity of the ellipse (x^(2))/(25)+(y^(2))/9=1 and if e_(2) is the eccentricity of the hyperbola 9x^(2)-16y^(2)=144 , then e_(1)e_(2) is. . . . .

Find the vertices of the hyperbola 9x^2-16 y^2-36 x+96 y-252=0

The locus of the foot of perpendicular from my focus of a hyperbola upon any tangent to the hyperbola is the auxiliary circle of the hyperbola. Consider the foci of a hyperbola as (-3, -2) and (5,6) and the foot of perpendicular from the focus (5, 6) upon a tangent to the hyperbola as (2, 5). The directrix of the hyperbola corresponding to the focus (5, 6) is

SURA PUBLICATION-MODAL QUESTION PAPER-PART - I
  1. If 4cos^(-1)x+sin^(-1)x=pi, then x is

    Text Solution

    |

  2. The domain of the function cos^(-1)(2x-1) is

    Text Solution

    |

  3. If 5x + 9 = 0 is the directrix of the hyperbola 16x^(2)-9y^(2)=144 the...

    Text Solution

    |

  4. If ax^(2)+by^(2)+(a+b-4)xy-ax-by-20=0 represent the circle then its ce...

    Text Solution

    |

  5. The foot of the perpendicular from A (1, 0, 0) to the line (x-1)/2=(y+...

    Text Solution

    |

  6. If A is a non-singular matrix such that A^(-1)=[(5,3),(-2,-1)], "then"...

    Text Solution

    |

  7. If adj A = [(2,3),(4,-1)] and adj B = [(1,-2),(-3,1)] then adj (AB) is

    Text Solution

    |

  8. If |z-2 + i|le2, then the greatest value of |z| is

    Text Solution

    |

  9. If x^(2)+y^(2)=1, then the value of (1+x+iy)/(1+x-iy).

    Text Solution

    |

  10. The product of all four values of (cos"" (pi)/(3) + i sin ""(pi)/(3))^...

    Text Solution

    |

  11. The polynomial x^(3)+2x+3 has :

    Text Solution

    |

  12. The value of sin^(-1)(cosx),0lexlepi is

    Text Solution

    |

  13. An ellipse has OB, as semi minor axis, F and F' its foci and the angle...

    Text Solution

    |

  14. The vertex of the parabola x^(2)=8y-1 is :

    Text Solution

    |

  15. The value of [hati+hatj,hatj+hatk,hatk+hati] is equal to :

    Text Solution

    |

  16. The angle between the lines (x-2)/(3)=(y+1)/(-2),z=2and(x-1)/(1)=(2y+3...

    Text Solution

    |

  17. A stone is thrown up vertically. The height it reaches at time t secon...

    Text Solution

    |

  18. The value of the limit lim(xto0)(cotx-1/x) is

    Text Solution

    |

  19. If f(x,y) =e^(xy), then (del^(2)f)/(del x del y) is equal to

    Text Solution

    |

  20. The value of int(-(pi)/(4))^((pi)/( 4)) ((2x^(7) - 3x^(5) + 7 x^(3) -...

    Text Solution

    |