Home
Class 12
MATHS
The line y=x+2 touches the hyperbola 5x^...

The line `y=x+2` touches the hyperbola `5x^2-9y^2=45` at the point

A

`(0,2)`

B

`(3,1)`

C

`(-9//2,-5//2)`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THE HYPERBOLA

    ML KHANNA|Exercise PROBLEM SET (2) (TRUE AND FALSE)|2 Videos

  • THE HYPERBOLA

    ML KHANNA|Exercise PROBLEM SET (2) (FILL IN THE BLANKS) |4 Videos

  • THE HYPERBOLA

    ML KHANNA|Exercise PROBLEM SET (1) (FILL IN THE BLANKS)|5 Videos

  • THE ELLIPSE

    ML KHANNA|Exercise SELF ASSESSMENT TEST|9 Videos

  • THE PARABOLA

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Assertion/ Reason)|1 Videos

Similar Questions

Explore conceptually related problems

If the line y=3x+lambda touches the hyperbola 9x^(2)-5y^(2)=45 , then the value of lambda is

If the line y=3x+lambda touches the hyperbola 9x^(2)-5y^(2)=45 , then lambda =

The line y = 4x + c touches the hyperbola x^(2) - y^(2) = 1 if

If the line 2x+sqrt(6)y=2 touches the hyperbola x^(2)-2y^(2)=4, then the point of contact is

For what value of lamda, the line y=2x+ lamda touches the hyperbola 9x^(2)-5y^(2)=45 ?

If the line y=x+c touches the hyperbola (x^(2))/(9)-(y^(2))/(5)=1 at the point P(h, k), then (h, k) can be equal to

If the line 2x+sqrt6y=2 touches the hyperbola x^(2)-2y^(2)=a^(2) , then a^(2) is equal to

If values of a,for which the line y=ax+2sqrt(5) touches the hyperbola 16x^(2)-9y^(2)=144 are the roots of the equation x^(2)-(a_(1)+b_(1))x-4=0, then the values of a_(1)+b_(1) is

ML KHANNA-THE HYPERBOLA -PROBLEM SET (2) (MCQ)
  1. The equation of the tangent to the hyperbola 2x^(2)-3y^(2)=6which is p...

    Text Solution

    |

  2. C is the center of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 The tangen...

    Text Solution

    |

  3. Find the equation of the tagent to the hyperbola x^(2)-4y^(2)=36 which...

    Text Solution

    |

  4. The point of intersection of two tangents to the hyperbola (x^(2))/(a^...

    Text Solution

    |

  5. The line y=x+2 touches the hyperbola 5x^2-9y^2=45 at the point

    Text Solution

    |

  6. 2x+sqrt(6)y=2 touches the hyperbola x^(2)-2y^(2)=4, then the point of ...

    Text Solution

    |

  7. The product of the lengths of the perpendiculars drawn from foci on an...

    Text Solution

    |

  8. A common tangent to 9x^(2) - 16y^(2) = 144 and x^(2) + y^(2) = 9 is

    Text Solution

    |

  9. If the chord through the points (a sec theta, b tan theta) and (a sec ...

    Text Solution

    |

  10. Find the equations to the common tangents to the two hyperbolas (x^2)/...

    Text Solution

    |

  11. The value of m for which y=mx+6 is a tangent to the hyperbola (x^(2))/...

    Text Solution

    |

  12. Tangents which are parrallel to the line 2x+y+8=0 are drawn to hyperb...

    Text Solution

    |

  13. The equation of the tangent to the hyperbola 4y^(2)=x^(2)-1 at the poi...

    Text Solution

    |

  14. If ax+by+c=0 is a normal to hyperbola xy=1, then (A) alt0, blt0 (B) al...

    Text Solution

    |

  15. If the tangent and normal to a rectangular hyperbola cut off intercept...

    Text Solution

    |

  16. If (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(agtb) and x^(2)-y^(2)=c^(2) cut a...

    Text Solution

    |

  17. Let P(asectheta,btantheta) and Q(asecphi,btanphi), where theta+phi=(pi...

    Text Solution

    |

  18. If the normal at (ct(1),c//t(1)) on the curve xy=c^(2) meets the curve...

    Text Solution

    |

  19. P Q and R S are two perpendicular chords of the rectangular hyperbola ...

    Text Solution

    |

  20. If the normal at P to the rectangular hyperbola x^2-y^2=4 meets the ax...

    Text Solution

    |