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

If the area of the quadrilateral by the tangents from the origin to the circle `x^2+y^2+6x-10 y+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

A

9

B

4

C

5

D

25

Text Solution

Verified by Experts

The correct Answer is:
1,4
Area of quadrilateral `=sqrt(c ) xx sqrt(9+25 - c) =15`
`:. c=9, 25`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    CENGAGE PUBLICATION|Exercise Linked Comprehension Type (For Problem 1-3)|3 Videos

  • CIRCLE

    CENGAGE PUBLICATION|Exercise For Problems|43 Videos

  • CIRCLE

    CENGAGE PUBLICATION|Exercise Excercises (Single Correct Answer Type)|109 Videos

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise Comprehension|11 Videos

  • CIRCLES

    CENGAGE PUBLICATION|Exercise Comprehension Type|8 Videos

Similar Questions

Explore conceptually related problems

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

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 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 equations of the tangents drawn from the point A(3, 2) to the circle x^2 + y^2 + 4x + 6y + 8 = 0

If the tangent to the parabola y= x^(2) + 6 at the point (1, 7) also touches the circle x^(2) + y^(2) + 16x + 12y + c =0 , then the coordinates of the point of contact are-

The tangent to the circle x^2+y^2=5 at (1,-2) also touches the circle x^2+y^2-8x+6y+20=0 . Find the coordinats of the corresponding point of contact.

If the tangent at the point P on the circle x^2+y^2+6x+6y=2 meets the straight line 5x - 2y + 6 = 0 at a point on the y-axis, then the length of PQ is

The distance between the chords of contact of the tangent to the circle x^2+y^2+2gx+2fy+c=0 from the origin and the point (g, f) is

The curve xy = c(c > 0) and the circle x^2 +y^2=1 touch at two points, then distance between the points of contact is

Find the length of the tangent from any point on the circule x^(2)+y^(2)-4x+6y-2=0 to the circle x^(2)+y^(2)-4x+6y+7=0

CENGAGE PUBLICATION-CIRCLE -Multiple Correct Anser Type
  1. Co-ordinates of the centre of a circle, whose radius is 2 unit and whi...

    Text Solution

    |

  2. If the circles x^2+y^2-9=0 and x^2+y^2+2ax+2y+1=0 touch each other, th...

    Text Solution

    |

  3. about to only mathematics

    Text Solution

    |

  4. The equation of the tangent to the circle x^2+y^2=25 passing through (...

    Text Solution

    |

  5. If the area of the quadrilateral by the tangents from the origin to th...

    Text Solution

    |

  6. The equation of the circle which touches the axes of coordinates and ...

    Text Solution

    |

  7. Which of the following lines have the intercepts of equal lengths on t...

    Text Solution

    |

  8. The equation of the line(s) parallel to x-2y=1 which touch(es) the cir...

    Text Solution

    |

  9. The circles x^2+y^2-2x-4y+1=0 and x^2+y^2+4x+4y-1=0 ............a)touc...

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. The equation of a circle of radius 1 touching the circles x^2+y^2-2|x|...

    Text Solution

    |

  13. The center(s) of the circle(s) passing through the points (0, 0) and ...

    Text Solution

    |

  14. Find the equations of straight lines which pass through the intersecti...

    Text Solution

    |

  15. Two lines through (2, 3) from which the circle x^2+y^2 =25 intercepts ...

    Text Solution

    |

  16. Normal to the circle x^(2)+y^(2)=4 divides the circle having centre at...

    Text Solution

    |

  17. Circle(s) touching x-axis at a distance 3 from the origin and having a...

    Text Solution

    |

  18. A circle S passes through the point (0, 1) and is orthogonal to the ci...

    Text Solution

    |

  19. Let RS be the diameter of the circle x^2+y^2=1, where S is the point (...

    Text Solution

    |

  20. Let T be the line passing through the points P(-2,\ 7) and Q(2,\ -5...

    Text Solution

    |