Home
Class 12
MATHS
If the tangents are drawn to the circle ...

If the tangents are drawn to the circle `x^2+y^2=12` at the point where it meets the circle `x^2+y^2-5x+3y-2=0,` then find the point of intersection of these tangents.

A

(6, -6)

B

(6, 18/5)

C

(6, -18/5)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|53 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|12 Videos

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

Similar Questions

Explore conceptually related problems

Tangents are drawn to the circle x^2+y^2=12 at the points where it is met by the circle x^2+y^2-5x+3y-2=0 . Find the point of intersection of these tangents.

Tangents are drawn to the circle x^2+y^2=9 at the points where it is met by the circle x^2+y^2+3x+4y+2=0 . Find the point of intersection of these tangents.

Tangents are drawn to the circle x^(2)+y^(2)=16 at the points where it intersects the circle x^(2)+y^(2)-6x-8y-8=0 , then the point of intersection of these tangents is

Tangents are drawn to the circle x^(2)+y^(2)=9 at the points where it is cut by the line 4x+3y-9=0 then the point of intersection of tangents is

Tangents are drawn to the parabola y^2=4a x at the point where the line l x+m y+n=0 meets this parabola. Find the point of intersection of these tangents.

Tangents are drawn to the parabola y^2=4a x at the point where the line l x+m y+n=0 meets this parabola. Find the point of intersection of these tangents.

If the tangent to the ellipse x^2+2y^2=1 at point P(1/(sqrt(2)),1/2) meets the auxiliary circle at point R and Q , then find the points of intersection of tangents to the circle at Q and Rdot

Tangent are drawn to the circle x^2+y^2=1 at the points where it is met by the circles x^2+y^2-(lambda+6)x+(8-2lambda)y-3=0,lambda being the variable. The locus of the point of intersection of these tangents is 2x-y+10=0 (b) 2x+y-10=0 x-2y+10=0 (d) 2x+y-10=0

From an arbitrary point P on the circle x^2+y^2=9 , tangents are drawn to the circle x^2+y^2=1 , which meet x^2+y^2=9 at A and B . The locus of the point of intersection of tangents at A and B to the circle x^2+y^2=9 is (a) x^2+y^2=((27)/7)^2 (b) x^2-y^2((27)/7)^2 y^2-x^2=((27)/7)^2 (d) none of these

If the straight line x - 2y + 1 = 0 intersects the circle x^2 + y^2 = 25 at points P and Q, then find the coordinates of the point of intersection of the tangents drawn at P and Q to the circle x^2 + y^2 = 25 .

OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Exercise
  1. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

    Text Solution

    |

  2. The point of which the line 9x + y - 28 = 0 is the chord of contact of...

    Text Solution

    |

  3. If the tangents are drawn to the circle x^2+y^2=12 at the point where ...

    Text Solution

    |

  4. If the straight line x=2y+1=0 intersects the circle x^2+y^2=25 at poin...

    Text Solution

    |

  5. If the chord of contact of the tangents drawn from the point (h , k) t...

    Text Solution

    |

  6. Find the equation of the circle which cuts the three circles x^2+y^2-3...

    Text Solution

    |

  7. The equation of a circle which passes through (2a, 0) and whose radica...

    Text Solution

    |

  8. If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...

    Text Solution

    |

  9. If the pole of a straight line with respect to the circle x^(2)+y^(2)=...

    Text Solution

    |

  10. Find the equation of the chord of the circle x^2+y^2=9 whose middle po...

    Text Solution

    |

  11. Locus of the mid points of the chords of the circle x^2+y^2=a^2 which ...

    Text Solution

    |

  12. If the circles (x-a)^(2)+(y-b)^(2)=c^(2) and (x-b)^(2)+(y-a)^(2)=c^(2)...

    Text Solution

    |

  13. Equation of circle symmetric to the circle x^(2)+y^(2)+16x -24y +183 =...

    Text Solution

    |

  14. The number of the tangents that can be drawn from (1, 2) to x^(2)+y^(2...

    Text Solution

    |

  15. Equation of the circle through the origin and making intercepts of 3 a...

    Text Solution

    |

  16. If y=2x is a chord of the circle x^2+y^2-10 x=0 , find the equation of...

    Text Solution

    |

  17. The tangent to x^(2)+y^(2)=9 which is parallel to y-axis and does not ...

    Text Solution

    |

  18. The two circles x^(2)+y^(2)-5=0 and x^(2)+y^(2)-2x-4y-15=0

    Text Solution

    |

  19. If the circle x^2+y^2+2x+3y+1=0 cuts x^2+y^2+4x+3y+2=0 at A and B , th...

    Text Solution

    |

  20. The circle x^(2)+y^(2)=4 cuts the circle x^(2)+y^(2)-2x-4=0 at the poi...

    Text Solution

    |