Home
Class 12
MATHS
If the area of a quadrilateral formed by...

If the area of a quadrilateral formed by the tangents from the origin to `x^(2) + y^(2) + 6x - 10y + lambda =0` and the pair of radii at the points of contact of these tangents to the circle, is 8 `cm^(2)`, then the value of `lambda` must be

A

2

B

4

C

16

D

32

Text Solution

Verified by Experts

The correct Answer is:
A, 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

If the area of the quadrilateral formed by the tangent from the origin to the circle x^(2)+y^(2)+6x10y+c=0 and the pair of radii at the points of contact of these tangents to the circle is 8 sq.units,then c is a root of the equation

If the area of the quadrilateral by the tangents from the origin to the circle x^(2)+y^(2)+6x-10y+c=0 and the radii corresponding to the points of contact is 15, then a value of c is 9 (b) 4( c) 5 (d) 25

find the area of the quadrilateral formed by a pair of tangents from the point (4,5) to the circle x^(2)+y^(2)-4x-2y-11=0 and pair of its radii.

Find the point of contact of the tangent x+y-7=0 to the circle x^2+y^2-4x-6y+11=0

Find the area of the triangle formed by the tangents from the point (4,3) to the circle x^(2)+y^(2)=9 and the line joining their points of contact.

Find the area of the quadrilateral formed by common tangents drawn from a point P to the circle x^(2) + y^(2) = 8 and the parabola y^(2) =16x , chord of contact of tangents to the circle and chord of contact of tangents to the parabolas.

A circle C_(1) of radius 2 units rolls o the outerside of the circle C_(2) : x^(2) + y^(2) + 4x = 0 touching it externally. Area of a quadrilateral found by a pair of tangents from a point of x^(2) + y^(2) + 4x -12 = 0 to C_(2) with a pair of radii at the points of contact of the tangents is ( in sq. units )

Length of a tangent drawn from the origin to the circle x ^(2) + y ^(2) - 6x + 4y + 8=0 in units is

AAKASH INSTITUTE-CONIC SECTIONS-SECTION-C
  1. Two circles x^(2) + y^(2) + ax + ay - 7 = 0 and x^(2) + y^(2) - 10x ...

    Text Solution

    |

  2. The positive integral value of lambda, for which line 4x + 3y - 16lam...

    Text Solution

    |

  3. If the area of a quadrilateral formed by the tangents from the origin ...

    Text Solution

    |

  4. If (a cos theta(1), a sin theta(1)), ( a cos theta(2), a sin theta(2))...

    Text Solution

    |

  5. Equation of tangents drawn from (0, 0) to x^(2) + y^(2) - 6x -6y + 9 =...

    Text Solution

    |

  6. The locus of the centre of the circle which moves such that it touches...

    Text Solution

    |

  7. If a point (a, sqrt(a)) lies in region bounded between the circles x^(...

    Text Solution

    |

  8. Tangents and normal from a point (3, 1) to circle C whose equation x^(...

    Text Solution

    |

  9. C(1) and C(2) are two concentrate circles, the radius of C(2) being t...

    Text Solution

    |

  10. The equation (s) of common tangents (s) to the two circles x^(2) + y^...

    Text Solution

    |

  11. The equation (s) of circle (s) touching 12x - 5y = 7 at (1, 1) and hav...

    Text Solution

    |

  12. Let circle cuts ortholognally each of the three circles x^(2) + y^(2) ...

    Text Solution

    |

  13. The equation of a circle touching x-axis at (-4, 0) and cutting off an...

    Text Solution

    |

  14. Let one of the vertices of the square circumseribing the circle x^(2) ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |