Home
Class 11
MATHS
The angle between a pair of tangents dra...

The angle between a pair of tangents drawn from a point P to the circle
`x^2+y^2+4x-6y+9sin^2alpha+13cos^2alpha=0` is `2alpha`
The equation of the locus of the point P is

A

`x^2+y^2+4x-6y+4=0`

B

`x^2+y^2+4x-6y-9=0`

C

`x^2+y^2+4x-6y-4=0`

D

`x^2+y^2+4x-6y+9=0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos

  • COMPLEX NUMBER

    PATHFINDER|Exercise QUESTION BANK|224 Videos

Similar Questions

Explore conceptually related problems

The number of tangents that can be drawn from the point (8,6) to the circle x^2+y^2-100=0 is

Find the length of tangents drawn from the point (3, -4) to the circle 2x^2 + 2y^2 - 7x - 9y - 13 = 0

The lngth of the tangent from the point (1, 1) to the circle x^2 + y^2 + 4x + 6y + 1 = 0 is

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

Find the lengths of the tangent drawn from the point. (2,-2) to the circle 3(x^(2)+y^(2))-4x-7y=3

The angle between the two tangents drawn from a point p to the circle x^(2)+y^(2)=a^(2) is 120^(@) . Show that the locus of P is the circle x^(2)+y^(2)=(4a^(2))/(3)

A tangent is drawn at any point P(t) on the parabola y^(2)=8x and on it is takes a point Q(alpha,beta) from which a pair of tangent QA and OB are drawn to the circle x^(2)+y^(2)=8 . Using this information, answer the following questions : The locus of the point of concurrecy of the chord of contact AB of the circle x^(2)+y^(2)=8 is

A tangent is drawn at any point P(t) on the parabola y^(2)=8x and on it is takes a point Q(alpha,beta) from which a pair of tangent QA and OB are drawn to the circle x^(2)+y^(2)=8 . Using this information, answer the following questions : The locus of the point of concurrecy of the chord of contact AB of the circle x^(2)+y^(2)=8 is

If two tangents drawn from a point P to the parabola y^2 = 4x are at right angles, then the locus of P is

If from any point P on the circle x^2+y^2+2gx+2fy+c=0, tangents are drawn to the circle x^2+y^2+2gx+2fy+csin^2alpha+(g^2+f^2)cos^2alpha=0 , then find the angle between the tangents.

PATHFINDER-CIRCLE-QUESTION BANK
  1. If two circles (x-1)^2+(y-3)^2=r^2 and x^2+y^2-8x+2y+8=0 intersect in ...

    Text Solution

    |

  2. The common chord of x^2+y^2-4x-4y=0 and x^2+y^2=16 subtends at the ori...

    Text Solution

    |

  3. The angle between a pair of tangents drawn from a point P to the circl...

    Text Solution

    |

  4. The equation of a circle which has a tangent 3x + 4y = 6 and two norma...

    Text Solution

    |

  5. The tangents drawn from the origin to the circle x^2+y^2-2rx-2hy+h^2=0...

    Text Solution

    |

  6. If the chord y = mx + 1 subtends an angle of measure 45^0 at the major...

    Text Solution

    |

  7. If one of the circles x^2+y^2+2ax+c=0 and x^2+y^2+2bx+c=0 lies within ...

    Text Solution

    |

  8. The equation of the circle whose diameter is the common chord of the c...

    Text Solution

    |

  9. A circle of the coaxial system with limiting points (0, 0) & (1, 0) is

    Text Solution

    |

  10. If the circle x^2+y^2+2a1x+c=0 lies completely inside the circle x^2+y...

    Text Solution

    |

  11. The triangle PQR is inscribed in the circle x^2+y^2=25. If Q and R hav...

    Text Solution

    |

  12. If the straight line y = mx is outside the circle x^2+y^2-20y+90=0, th...

    Text Solution

    |

  13. The locus of the centre of the circle which passes through the origin ...

    Text Solution

    |

  14. Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit ra...

    Text Solution

    |

  15. In a triangle ABC, right angled at A, on the leg AC as diameter, semic...

    Text Solution

    |

  16. The area of the triangle formed by joining the origin to the points of...

    Text Solution

    |

  17. The value of 'c' for which the set {(x, y)|x^2+y^2+2xle1}bigcap{(x, y)...

    Text Solution

    |

  18. A pair of tangents are drawn to a unit circle with centre at the origi...

    Text Solution

    |

  19. A line meets the co-ordinate axes in A and B. A circle is circumscribe...

    Text Solution

    |

  20. If the curves ax^2+4xy+2y^2+x+y+5=0 and ax^2+6xy+5y^2+2x+3y+8=0 inters...

    Text Solution

    |