Home
Class 11
MATHS
From a point A, commont tangents are dra...

From a point `A`, commont tangents are drawn to the circle `x^2 + y^2=8` and parabola `y^2=16x`. The area of the quadrilateral formed by the common tangents, the chord of contact of the circle and the chord of contact of the parabola in squae units is…

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

From a pt A common tangents are drawn to a circle x^2 +y^2 = a^2/2 and y^2 = 4ax . Find the area of the quadrilateral formed by common tangents, chord of contact of circle and chord of contact of parabola.

find the common tangents of the circle x^2+y^2=2a^2 and the parabola y^2=8ax

Find the equations of the common tangents to the circle x^2+y^2 = 8 and the parabola y^2 = 16x.

The area of the triangle formed by the tangents from (1,3) to the circle x^(2)+y^(2)-4x+6y+1=0 and its chord of contact is

The area of triangle formed by tangents and the chord of contact from (3, 4) to y^(2 )= 2x is

Find the area of the triangle formed by two tangents drawn from (3,5) to the circle x^(2)+y^(2)=16 and the chord of contact of (3,5)

Equation of a common tangent to the circle x^(2)+y^(2)-6x=0 and the parabola y^(2)=4x is

Two common tangents to the circle x^(2) + y^(2) = (a^(2))/(2) and the parabola y^(2) = 4ax are

Equation of the common tangent of a circle x^2+y^2=50 and the parabola y^2=40x can be

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

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The point of intersection of the tangents at the ends of the latus ...

    Text Solution

    |

  2. ·If the normals of the parabola y^2=4x drawn at the end points of it...

    Text Solution

    |

  3. From a point A, commont tangents are drawn to the circle x^2 + y^2=8 a...

    Text Solution

    |

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

    Text Solution

    |

  5. Three normals with slopes m1, m2 and m3 are drawn from a point P not o...

    Text Solution

    |

  6. Three normals are drawn from the point (c, 0) to the curve y^2 = x. Sh...

    Text Solution

    |

  7. Find the equation of the normal to curve x^2=4y which passes throug...

    Text Solution

    |

  8. Show that the locus of a point that divides a chord of slope 2 of the ...

    Text Solution

    |

  9. Points A, B, C lie on the parabola y^2=4ax The tangents to the parabol...

    Text Solution

    |

  10. If the focus of the parabola x^2-k y+3=0 is (0,2), then a values of k ...

    Text Solution

    |

  11. Let P be a point whose coordinates differ by unity and the point does ...

    Text Solution

    |

  12. Statement 1: The line x-y-5=0 cannot be normal to the parabola (5x-15)...

    Text Solution

    |

  13. If (h ,k) is a point on the axis of the parabola 2(x-1)^2+2(y-1)^2=(x+...

    Text Solution

    |

  14. Column I, Column II Points from which perpendicular tangents can...

    Text Solution

    |

  15. Consider the parabola y^2=12 x Column I, Column II Equation of ta...

    Text Solution

    |

  16. If the tangent at the point P(2,4) to the parabola y^2=8x meets the pa...

    Text Solution

    |

  17. Let P be the family of parabolas y=x^2+p x+q ,(q!=0), whose graphs cut...

    Text Solution

    |

  18. If normal at point P on the parabola y^2=4a x ,(a >0), meets it again ...

    Text Solution

    |

  19. If line P Q , where equation is y=2x+k , is a normal to the parabola w...

    Text Solution

    |

  20. The parabola y=x^2+p x+q cuts the straight line y=2x-3 at a point with...

    Text Solution

    |