Home
Class 12
MATHS
Tangent is drawn at the point (-1,1) on ...

Tangent is drawn at the point (-1,1) on the hyperbola `3x^2-4y^2+1=0`. The area bounded by the tangent and the coordinates axes is

A

`(1)/(6)`

B

`(1)/(12)`

C

`(1)/(24)`

D

`(1)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise LEVEL - 2|111 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|15 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

Similar Questions

Explore conceptually related problems

Tangents are drawn from the point (-1, 2) to the parabola y^2 =4x The area of the triangle for tangents and their chord of contact is

Tangents are drawn from the point (-1, 2) to the parabola y^2 =4x The area of the triangle for tangents and their chord of contact is

Tangent to the parabola y=x^(2)+ax+1 at the point of intersection of the y-axis also touches the circle x^(2)+y^(2)=r^(2) . Also, no point of the parabola is below the x-axis. The minimum area bounded by the tangent and the coordinate axes is (a) 1 (b) 1/3 (c) 1/2 (d) 1/4

How many real tangents can be drawn from the point (4, 3) to the hyperbola (x^2)/(16)-(y^2)/9=1? Find the equation of these tangents and the angle between them.

Tangent is drawn at any point (x_1,y_1) on the parabola y^2=4ax . Now 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 throught a fixed point (x_2,y_2) Prove that 4(x_1/x_2)+(y_1/y_2)^2=0 .

Tangent are drawn from the point (-1,2) on the parabola y^2=4x . Find the length that these tangents will intercept on the line x=2.

Tangent are drawn from the point (-1,2) on the parabola y^2=4x . Find the length that these tangents will intercept on the line x=2.

Tangents drawn from a point on the circle x^2+y^2=9 to the hyperbola x^2/25-y^2/16=1, then tangents are at angle

A tangent is drawn at any point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2)) =1 . If this tangent is intersected by the tangents at the vertices at points P and Q, then which of the following is/are true

If tangents drawn from the point (a ,2) to the hyperbola (x^2)/(16)-(y^2)/9=1 are perpendicular, then the value of a^2 is _____

VMC MODULES ENGLISH-CONIC SECTIONS-LEVEL - 1
  1. The product of perpendicular drawn from any points on a hyperbola (x^2...

    Text Solution

    |

  2. The locus of the point of intersection of the tangents at the ends of ...

    Text Solution

    |

  3. If the curves (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 (agtb) and x^(2)-y(2)=...

    Text Solution

    |

  4. A normal to the hyperbola (x^2)/4-(y^2)/1=1 has equal intercepts on th...

    Text Solution

    |

  5. Which of the following equations in parametric form can represent a hy...

    Text Solution

    |

  6. The distance of the origin from the normal drawn at the point (1,-1) o...

    Text Solution

    |

  7. Tangent is drawn at the point (-1,1) on the hyperbola 3x^2-4y^2+1=0. T...

    Text Solution

    |

  8. Let LL1 be a latusrectum of a hyperbola and S1 is the other focus. If ...

    Text Solution

    |

  9. If a latus rectum of an ellipse subtends a right angle at the centre o...

    Text Solution

    |

  10. I the latus rectum through one focus of a hyperbola subtends a right ...

    Text Solution

    |

  11. The transverse axis of the hyperbola 5x^2-4y^2-30x-8y+121=0 is

    Text Solution

    |

  12. If the pair of lines b^2x^2-a^2y^2=0 are inclined at an angle theta, t...

    Text Solution

    |

  13. If 2^a+2^(4-a) lt 17, then (x^2)/(a)+(y^2)/(b)=1 reperesents

    Text Solution

    |

  14. If the tangent at point P(h, k) on the hyperbola (x^(2))/(a^(2))-(y^(2...

    Text Solution

    |

  15. If the tangents drawn from a point on the hyperbola x^2-y^2=a^2-b^2 to...

    Text Solution

    |

  16. The locus of a point from which two tangent are drawn to x^2-y^2=a^2 w...

    Text Solution

    |

  17. Let a and b be bonzero real numbers. Then the equation (ax^(2)+by^(2)+...

    Text Solution

    |

  18. If e1 is the eccentricity of the ellipse x^2/16+y^2/25=1 and e2 is th...

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

  20. Let a1" and "b1 be intercepts made by the tangent at point P on xy=c^2...

    Text Solution

    |