Home
Class 12
MATHS
Locus of the point of intersection of th...

Locus of the point of intersection of the tangents at the points with eccentric angles `phi and (pi)/(2) - phi` on the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1` is

A

`x=a`

B

`y=b`

C

`x=ab`

D

`y=ab`

Text Solution

Verified by Experts

The correct Answer is:
B
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

The locus of the point of intersection of two prependicular tangents of the ellipse x^(2)/9+y^(2)/4=1 is

Find the point of intersection of the tangetn lines to the curve y = 2x^2 at the points (1,2) and (-1,2)

Find the locus of a point P(alpha, beta) moving under the condition that the line y=ax+beta is a tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 .

Let P(asectheta, btantheta) and A(asecphi, btanphi) , where theta+phi=(pi)/(2) , be two points on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 . If (h, k) is the point of intersection of normals at P and Q. then k is equal to

An ellipse has eccentricity (1)/(2) and one focus at the point P ((1)/(2), 1) . Its one directrix is the common tangent nearer to the point P, to the circle x^(2)+y^(2)=1 and the hyperbola x^(2)-y^(2)=1 . The equation of the ellipse is standard form is

The eccentricity of the hyperbola 4x^(2)-9y^(2)=36 is :

Find the locus of the points of the intersection of tangents to ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 which make an angle theta.

The locus of the poles of the chords of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 which subtend a right angle at its centre is

The number of points of intersection of 2y-1=0 and y = sinx,-2 pi lexle 2 pi , is :

ARIHANT MATHS-HYPERBOLA-Exercise (Single Option Correct Type Questions)
  1. Let A=(-3, 4) and B=(2, -1) be two fixed points. A point C moves such ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. 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

    |

  6. Find the 15^(th) term of the following sequence whose n^(th) term is ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Find the 5^(th) term of the G.P , 1/2 , 1/4 ,1/8 ....

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. The focus of rectangular hyperbola (x-a)*(y-b)=c^2 is

    Text Solution

    |

  18. The equation of a hyperbola conjugate to the hyperbola x^(2)+3xy+2y^(2...

    Text Solution

    |

  19. If the values of m for which the line y=mx+2sqrt(5) touches the hyperb...

    Text Solution

    |

  20. Let C be a curve which is the locus of the point of intersection of li...

    Text Solution

    |