Home
Class 12
MATHS
Let the midpoint of the chord of contact...

Let the midpoint of the chord of contact of tangents drawn from A to the circle `x^(2) + y^(2) = 4` be `M(1, -1)` and the points of contact be B and C

A

The area of `triangleABC` is 2 sq. units

B

The area of `triangleABC` is `(1)/(2)` sq. units

C

Co-ordinate of point A is `(2, -2)`

D

`triangleABC` is right angled triangle

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION -D|24 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION -E ( Assertion-Reason Type Questions )|18 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

The equation of the chord of contact of tangents from (1,2) to the hyperbola 3x^(2)-4y^(2)=3 , is

The equation of the chord of contact of tangents drawn from a point (2,-1) to the hyperbola 16x^(2)-9y^(2)=144 , is

The length of the chord of contact of the tangents drawn from the point (-2,3) to the circle x^2+y^2-4x-6y+12=0 is:

The point of contact of a tangent from the point (1, 2) to the circle x^2 + y^2 = 1 has the coordinates :

The chord of contact of tangents from three points P, Q, R to the circle x^(2) + y^(2) = c^(2) are concurrent, then P, Q, R

If the chords of contact of tangents drawn from P to the hyperbola x^(2)-y^(2)=a^(2) and its auxiliary circle are at right angle, then P lies on

Statement-1: The line x+9y-12=0 is the chord of contact of tangents drawn from a point P to the circle 2x^(2)+2y^(2)-3x+5y-7=0 . Statement-2: The line segment joining the points of contacts of the tangents drawn from an external point P to a circle is the chord of contact of tangents drawn from P with respect to the given circle

AAKASH INSTITUTE-CONIC SECTIONS-SECTION-C
  1. Let one of the vertices of the square circumseribing the circle x^(2) ...

    Text Solution

    |

  2. IF x^(2) + y^(2) - 2y - 15 + lambda (2x + y - 9) = 0 represents family...

    Text Solution

    |

  3. Let the midpoint of the chord of contact of tangents drawn from A to t...

    Text Solution

    |

  4. y^2-2x-2y+5=0 represents

    Text Solution

    |

  5. If tangents PA and PB are drawn from P(-1, 2) to y^(2) = 4x then

    Text Solution

    |

  6. Two parabola have the same focus. If their directrices are the x-axis ...

    Text Solution

    |

  7. The normal to parabola y^(2) =4ax from the point (5a, -2a) are

    Text Solution

    |

  8. The coordinates of a focus of the ellipse 4x^(2) + 9y^(2) =1 are

    Text Solution

    |

  9. On the ellipse 4x^2+9y^2=1, the points at which the tangents are paral...

    Text Solution

    |

  10. Let P be a variable on the ellipse (x^(2))/(25)+ (y^(2))/(16) =1 with ...

    Text Solution

    |

  11. Tangents are drawn to the ellipse x^2/9+y^2/5 = 1 at the end of latus ...

    Text Solution

    |

  12. The equation of common tangent of the curve x^(2) + 4y^(2) = 8 and y^(...

    Text Solution

    |

  13. Chord of contact of tangents drawn from the point M(h, k) to the ellip...

    Text Solution

    |

  14. Equation ofa tangent passing through (2, 8) to the hyperbola 5x^(2) - ...

    Text Solution

    |

  15. If the circle x^2+y^2=a^2 intersects the hyperbola x y=c^2 at four poi...

    Text Solution

    |

  16. The angle between a pair of tangents drawn from a point P to the hyper...

    Text Solution

    |

  17. Tangents at any point P is drawn to hyperbola (x^(2))/(a^(2)) - (y^(2)...

    Text Solution

    |

  18. A normal to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 meets the axes at ...

    Text Solution

    |

  19. If one of varying central conic (hyperbola) is fixed in magnitude and ...

    Text Solution

    |

  20. For the equation of rectangular hyperbola xy = 18

    Text Solution

    |