Home
Class 12
MATHS
From a point on the line y=x+c, c(parame...

From a point on the line `y=x+c`, c(parameter), tangents are drawn to the hyperbola `(x^(2))/(2)-(y^(2))/(1)=1` such that chords of contact pass through a fixed point `(x_1, y_1)`. Then , `(x_1)/(y_1)` is equal to

A

`2`

B

`3`

C

`4`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

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

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|15 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise For Session 3|17 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

From a point on the line x-y+2-0 tangents are drawn to the hyperbola (x^(2))/(6)-(y^(2))/(2)=1 such that the chord of contact passes through a fixed point (lambda, mu) . Then, mu-lambda is equal to

From,a point on line y=x+k ,tangents are drawn to (x^(2))/(2)-(y^(2))/(1)=1 such that chords of contact pass through a fixed point (a,b) then (a)/(b)=

If from a variable point 'P' on the line 2x-y-1=0 pair of tangent's are drawn to the parabola x^(2)=8y then prove that chord of contact passes through a fixed point,also find that point.

From any point on the line (t+2)(x+y) =1, t ne -2 , tangents are drawn to the ellipse 4x^(2)+16y^(2) = 1 . It is given that chord of contact passes through a fixed point. Then the number of integral values of 't' for which the fixed point always lies inside the ellipse is

Tangents are drawn to the parabola y^(2)=4x from the point (1,3). The length of chord of contact is

Show that the line y=2x-4 is a tangent to the hyperbola (x^(2))/(16)-(y^(2))/(48)=1. Find its point of contact.

From every point on the line x+y=4 ,tangents are drawn to circle x^(2)+y^(2)=4 .Then,all chord of contact passes through (x_(1),y_(1)),x_(1)+y_(1)=

Tangent is drawn at any point (x_1, y_1) other than the vertex on the parabola y^2=4a x . If tangents are drawn from any point on this tangent to the circle x^2+y^2=a^2 such that all the chords of contact pass through a fixed point (x_2,y_2), then (a)x_1,a ,x_2 in GP (b) (y_1)/2,a ,y_2 are in GP (c)-4,(y_1)/(y_2),(x_1//x_2) are in GP (d) x_1x_2+y_1y_2=a^2

Tangents are drawn from points on the line x-y+2=0 to the ellipse x^(2)+2y^(2)=4 then all the chords of contact pass through the point

ARIHANT MATHS-HYPERBOLA-Exercise (Single Option Correct Type Questions)
  1. If a rectangular hyperbola (x-1)(y-2)=4 cuts a circle x^(2)+y^(2)+2gx+...

    Text Solution

    |

  2. If p ,q ,r ,s ae rational numbers and the roots of f(x)=0 are eccentri...

    Text Solution

    |

  3. From a point on the line y=x+c, c(parameter), tangents are drawn to th...

    Text Solution

    |

  4. Two conics (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 and x^(2)=-(a)/(b)y inter...

    Text Solution

    |

  5. the number of points outside the hyperbola x^2/9-y^2/16=1 from where ...

    Text Solution

    |

  6. Let A=(-3, 4) and B=(2, -1) be two fixed points. A point C moves such ...

    Text Solution

    |

  7. A point P is taken on the right half of the hyperbola (x^(2))/(a^(2))-...

    Text Solution

    |

  8. If the angle between the asymptotes of hyperbola (x^2)/(a^2)-(y^2)/(b^...

    Text Solution

    |

  9. If alpha+beta=3pi , then the chord joining the points alpha and beta f...

    Text Solution

    |

  10. If x^2/a^2+y^2/b^2=1(a>b) and x^2-y^2=c^2 cut at right angles, then:

    Text Solution

    |

  11. Chords of the hyperbola, x^2-y^2 = a^2 touch the parabola, y^2 = 4ax. ...

    Text Solution

    |

  12. An ellipse has eccentricity 1/2 and one focus at the point P(1/2,1)....

    Text Solution

    |

  13. The equation of the line passing through the centre of a rectangular h...

    Text Solution

    |

  14. The condition that a straight line with slope m will be normal to para...

    Text Solution

    |

  15. Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4...

    Text Solution

    |

  16. The co-ordinates of the centre of the hyperbola, x^2+3x y+3y^2+2x+3y+2...

    Text Solution

    |

  17. Let F1,F2 are the foci of the hyperbola x^2/16-y^2/9=1 and F3,F4 are t...

    Text Solution

    |

  18. Locus of the point of intersection of the tangents at the points with ...

    Text Solution

    |

  19. Latusrectum of the conic satisfying the differential equation xdy+ydx=...

    Text Solution

    |

  20. The point of intersection of the curve whose parametrix equations are ...

    Text Solution

    |