Home
Class 12
MATHS
Two conics (x^(2))/(a^(2))-(y^(2))/(b^(2...

Two conics `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1 and x^(2)=-(a)/(b)y` intersect, if

A

`0ltble(1)/(2)`

B

`0leale(1)/(2)`

C

`a^(2)ltb^(2)`

D

`a^(2)gtb^(2)`

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 two conics y^(2)/b^(2)-x^(2)/a^(2)=1 and y^(2)=-b/ax intersect if and only if

The radius of the circle passing through the points of intersection of ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and x^(2)-y^(2)=0 is

The radius of the circle passing through the points of intersection of ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and x^(2)-y^(2)=0 is

The angle of intersection of the curves (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and x^(2)+y^(2)=ab, is

If the curves (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and (x^(2))/(c^(2))+(y^(2))/(d^(2))=1 intersect orthogonally, then

Prove that the curve (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(x^(2))/(a^(12))+(y^(2))/(b^(2))=1 intersect orthogonally if a^(2)-a^(2)=b^(2)-b^(2)

Equation of the circle passing through the intersection of ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and (x^(2))/(b^(2))+(y^(2))/(a^(2))=1 is

An angle of intersection of the curves , (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 and x^(2) + y^(2) = ab, a gt b , is :

Find the condition for the following set of curves to intersect orthogonally: (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 and xy=c^(2)(x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and (x^(2))/(A^(2))-(y^(2))/(B^(2))=1

If the normal at theta on (x^(2))/(a^(2))+(y^(2))/(b^(2))=1,(a>b) intersects the curve again at phi then

ARIHANT MATHS-HYPERBOLA-Exercise (Single Option Correct Type Questions)
  1. If p ,q ,r ,s ae rational numbers and the roots of f(x)=0 are eccentri...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |