Home
Class 11
MATHS
about to only mathematics...

about to only mathematics

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`

Text Solution

Verified by Experts

The line `x=9` meets the hyperbola at `(9,6sqrt(2))` and `(9,-6sqrt(2))`. The equation of tangents at these points are `3x-2sqrt(2y)-3=0` and `3x+2sqrt(2)y-3=0`.
The combined equation of these two is
`9x^(2)-8y^(2)-18x+9=0`
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|4 Videos

  • HYPERBOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|56 Videos

  • HYPERBOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

  • FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

  • INEQUALITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise EXERCISE SECTION-II (Assertion-Reason )|1 Videos

Similar Questions

Explore conceptually related problems

In a certain collage, the ratio of mathematics majors to English majors is 3:8. If in the following school year the number of mathematics majors increase 20%, and the number of English majors decrease 15%, what is the new ratio of mathematics majors to English majors?

STATEMENT-1 : Magnetic poles are only mathematical assumptions and have no real existence . and STATEMENT-2 : Magnetic field lines are always in closed loops .

72% of 25 students are good in mathematics. How many are not good in mathematics?

in a class of 35 students , 17 have taken Mathematics , 10 have taken mathematics but not economics if each student has taken erither mathematics Of Economics or both , then the number of students who have taken Economics but not mathematics is

Rahim obtained 60 marks out of 75 in Mathematics. Find the percentage of marks obtained by Rahim in Mathematics.

There are five books on Mathematics and 6 books on Physics in a book shop. In how many ways can a student buy : (i) a Mathematics book and a Physics book (ii) either a Mathematics book or a Physics book?

A bag contains a total of 20 books on physics and mathematics. Ten books are chosen from the bag and it is found that it contains 6 books of mathematics. Find out the probability that the remaining books in the bag contains 2 books on mathematics.

From 50 students taking examinations in mathematics, physics and chemistry,37 passed mathematics, 24 physics and 43 chemistry. At most 19 passed mathematics and physics, at most 29 mathematics and chemistry and at most 20 physics and chemistry. Find the largest possible number that could have passed all three exams.

From 50 students taking examinations in mathematics, physics and chemistry,37 passed mathematics, 24 physics and 43 chemistry. At most 19 passed mathematics and physics, at most 29 mathematics and chemistry and at most 20 physics and chemistry. Find the largest possible number that could have passed all three exams.

check whether it is statement or not .Do you like mathematics ?

OBJECTIVE RD SHARMA ENGLISH-HYPERBOLA-Section I - Solved Mcqs
  1. If P N is the perpendicular from a point on a rectangular hyperbola x ...

    Text Solution

    |

  2. The combined equation of the asymptotes of the hyperbola 2x^(2)+5xy+2y...

    Text Solution

    |

  3. about to only mathematics

    Text Solution

    |

  4. The slopes of the common tangents of the hyperbolas (x^(2))/(9)-(y^(2)...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. A hyperbola having the transverse axis of length 2 sin theta is confoc...

    Text Solution

    |

  7. Prove that the locus of the point of intersection of the tangents at t...

    Text Solution

    |

  8. If angle subtended by any chord of a rectangular hyperbola at the cen...

    Text Solution

    |

  9. If a hyperbola passing through the origin has 3x-4y-1=0 and 4x-3y-6=0 ...

    Text Solution

    |

  10. If PQ is a double ordinate of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b...

    Text Solution

    |

  11. The normal at P to a hyperbola of eccentricity e, intersects its trans...

    Text Solution

    |

  12. An ellipse intersects the hyperbola 2x^(2)-2y^(2)=1 orthogonally. The ...

    Text Solution

    |

  13. If a variable straight line x cos alpha+y sin alpha=p which is a chord...

    Text Solution

    |

  14. If H(x,y)=0 represents the equation of a hyperbola and A(x,y)=0, C(x,y...

    Text Solution

    |

  15. The equation of a tangent to the hyperbola 16x^2-25y^2-96x+100y-356=0,...

    Text Solution

    |

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

    Text Solution

    |

  17. Let A and B be two fixed points and P, another point in the plane, mov...

    Text Solution

    |

  18. The equation of the line passing through the centre of rectangular hyp...

    Text Solution

    |

  19. Radii of director circles of curves (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 ...

    Text Solution

    |

  20. A variable straight line of slope 4 intersects the hyperbola xy=1 at t...

    Text Solution

    |