Home
Class 12
MATHS
A ray emanating from the point (dqrt(41)...

A ray emanating from the point `(dqrt(41), 0)` is incident on the hyperbola `16x^(2)-25y^(2)=400` at the point P with abscissa10.Find the equation of a reflected ray after first reflection and point P lies in 2nd quadrant is

A

`4sqrt(3)-(10-sqrt(41))y+4sqrt(123)=0`

B

`4sqrt(3)+(10-sqrt(41))y-4sqrt(123)=0`

C

`4sqrt(3)+(10-sqrt(41))y+4sqrt(123)=0`

D

`4sqrt(3)-(10-sqrt(41))y-4sqrt(123)=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise For Session 2|14 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

A ray emanating from the point (5,0) and is incident on the hyperbola 9x^(2)-16y^(2)=144 at the point P with abscissa 8 .Then the equation of reflected ray after first refection, where the point P lies in first quadrant

A ray emanating from the point (5,0) is INCIDENT on the hyperbola 9x^(2)-16y^(2)=144 at the point P with abscissa 8.Find the equation of the reflected ray after the first reflection if point P lies in the first quadrant.

A ray emanating from the point (-3,0) is incindent on the ellipse 16x^(2)+25y^(2)=400 at the point p with ordinate 4. Find the equation of the reflected ray after first reflection.

A ray emanating from the point (0, sqrt5 ) is incident on the ellipse 9x^(2)+4y^(2)=36 at the point P with abscissa 2. find the equation of the reflected ray after first reflection.

A ray emanating from the point (-4,0) is incident on the ellipse 9x^(2)+25y^(2)=225 at the point P abscissa 3. Find the equation of the reflected ray atter first reflection.

The tangents from a point (2sqrt(2),1) to the hyperbola 16x^(2)-25y^(2)=400 inculde an angle equal to

A ray emanating from the point (0,6) is incident on the ellipse 25x^(2)+16y^(2)=1600 at the point P with ordinate S. After reflection, ray cuts the Y-axis at B. The length of PB is

A ray emanating from (6,2) is incident on ellipse ((x-1)^(2))/(45)+((y-2)^(2))/(20)=1 at (4,6) The equation of reflected ray (after 1^(st) reflection) is

Find the equation of the chord of the hyperbola 25x^(2)-16y^(2)=400 which is bisected at the point (5,3).

ARIHANT MATHS-HYPERBOLA-Exercise For Session 3
  1. The diameter of 16x^(2)-9y^(2)=144 which is conjugate to x=2y is

    Text Solution

    |

  2. Tangents drawn from a point on the circle x^2+y^2=9 to the hyperbola x...

    Text Solution

    |

  3. If H=(x^(2))/(a^(2))-(y^(2))/(b^(2))-1=0, C=(x^(2))/(a^(2))-(y^(2))/(b...

    Text Solution

    |

  4. The angle between the asymptotes of the hyperbola (x^(2))/(16)-(y^(2))...

    Text Solution

    |

  5. If e and e(1), are the eccentricities of the hyperbolas xy=c^(2) and x...

    Text Solution

    |

  6. Find the product of the length of perpendiculars drawn from any point ...

    Text Solution

    |

  7. The number of points on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=3 from w...

    Text Solution

    |

  8. If the sum of the slopes of the normal from a point P to the hyperbola...

    Text Solution

    |

  9. If S=0 is the equation of the hyperbola x^2+4x y+3y^2-4x+2y+1=0 , then...

    Text Solution

    |

  10. A ray emanating from the point (dqrt(41), 0) is incident on the hyperb...

    Text Solution

    |

  11. A ray of light incident along the line 3x+(5-4sqrt(2))y=15 gets reflec...

    Text Solution

    |

  12. The equation of the transvers and conjugate axes of a hyperbola are, ...

    Text Solution

    |

  13. Find the equation of that diameter which bisects the chord 7x+y-2=0 of...

    Text Solution

    |

  14. Find the equation of the hyperbola which has 3x-4y+7=0 and 4x+3y+1=0 a...

    Text Solution

    |

  15. The asymptotes of a hyperbola are parallel to lines 2x+3y=0 and 3x+2y=...

    Text Solution

    |

  16. If the pair of straight lines Ax^(2)+2Hxy+By^(2)=0 be conjugate diamet...

    Text Solution

    |

  17. A circle cuts the rectangular hyperbola xy=1 in the points (x(1),y(1)...

    Text Solution

    |