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 (a)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|Exercise Exercise (Comprehension)|46 Videos

  • CIRCLE

    CENGAGE|Exercise Exercise (Matrix)|1 Videos

  • CIRCLE

    CENGAGE|Exercise Exercise (Single)|109 Videos

  • BINOMIAL THEOREM

    CENGAGE|Exercise Comprehension|11 Videos

  • CIRCLES

    CENGAGE|Exercise Question Bank|16 Videos

Similar Questions

Explore conceptually related problems

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.

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 on the circle x^2+y^2+6x +6y=2 meets the straight ine 5x -2y+6 =0 at a point Q on the y- axis then the length of PQ is

The circle x^2 + y^2 - 4x + 6y + c = 0 touches x axis if

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

If y = 2sqrt2x+c is a tangent to the circle x^(2) +y^(2) = 16 , find the value of c.

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

If the tangent at (1,7) to curve x^(2)=y-6 touches the circle x^(2)+y^(2)+16x+12y+c=0 then the value of c is

The chords of contact of the pair of tangents drawn from each point on the line 2x + y=4 to the circle x^2 + y^2=1 pass through the point (a,b) then 4(a+b) is

CENGAGE-CIRCLE -Exercise (Multiple)
  1. If the circle x^2+y^2=a^2 intersects the hyperbola x y=c^2 at four poi...

    Text Solution

    |

  2. Let xa n dy be real variables satisfying x^2+y^2+8x-10 y-40=0 . Let a=...

    Text Solution

    |

  3. If the equation x^2+y^2+2h x y+2gx+2fy+c=0 represents a circle, then t...

    Text Solution

    |

  4. A point on the line x=3 from which the tangents drawn to the circle x^...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. If the circles x^2+y^2-9=0 and x^2+y^2+2a x+2y+1=0 touch each other, t...

    Text Solution

    |

  7. about to only mathematics

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. The circles x^2+y^2-2x-4y+1=0 and x^2+y^2+4x+4y-1=0 (a)touch internal...

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |