Home
Class 12
MATHS
If the angle between the tangents drawn ...

If the angle between the tangents drawn from P to the circle `x^(2)+y^(2)+4x-6y+9sin^(2)alpha+13cos^(2)alpha=0` is `2 alpha`, show that the locus of P is `(x+2)^(2)+(y-3)^(2)=4`

Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE -I|89 Videos

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE II|169 Videos

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE 1.4 ( LONG ANSWER QUESTIONS)|3 Videos

  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

Similar Questions

Explore conceptually related problems

The angle between the tangents drawn from (0,0) to the circle x^(2)+y^(2)+4x-6y+4=0 is

The anlge between the tangents drawn from the origin to the circle x^2+y^2+4x-6y+4=0 is

Find the angle between the tangents drawn from (3, 2) to the circle x^(2) + y^(2) - 6x + 4y - 2 = 0

Show that the angle between the tangents drawn from (-1,3) to the circle x^(2)+y^(2)=5 is 90^(@) .

Find the angle between tangents drawn from P(2, 3) to the parabola y^(2) = 4x

The angle between the tangents drawn from the origin to the circle x^(2) + y^(2) + 4x - 6y + 4 = 0 is

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

Find the angle between the pair of tangents drawn from (1, 3) to the circle x^(2) + y^(2) - 2 x + 4y - 11 = 0

AAKASH SERIES-CIRCLES-ADDITIONAL EXERCISE
  1. Show that the equations of the tangents drawn from the origin to the c...

    Text Solution

    |

  2. The locus of the centre of a circle which touches externally the circl...

    Text Solution

    |

  3. If the angle between the tangents drawn from P to the circle x^(2)+y^(...

    Text Solution

    |

  4. If the tangent at the point P on the circle x^(2)+y^(2)+6x+6y=2 meets ...

    Text Solution

    |

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

    Text Solution

    |

  6. If (-4,3) and (12, -1) are the ends of diameter of a circle which make...

    Text Solution

    |

  7. If the chord y=mx+1 of the circle x^(2)+y^(2)=1 subtends an angle of m...

    Text Solution

    |

  8. Tangent to the curve y=x^(2)+6 at the point P(1,7) touches the circle ...

    Text Solution

    |

  9. If the lines 3x-4y+4=0 and 6x-8y-7=0 , x^(2)+y^(2)+16x+12y+c=0 are tan...

    Text Solution

    |

  10. The area of the quadrilateral formed by the tangents from the point (4...

    Text Solution

    |

  11. The extremities of a diameter of a circle have coordinates A(-4,3) and...

    Text Solution

    |

  12. Show that the equation of the circles touching the Y-axis at (0,3) and...

    Text Solution

    |

  13. Show that the point of intersection of the line 4x-3y-10=0 and the cir...

    Text Solution

    |

  14. Show that the equation of a line passing through the point (11,-2) and...

    Text Solution

    |

  15. If x+3y=0 is a tangent to the circle with centre at (-1,2) then show t...

    Text Solution

    |

  16. Show that the radius of the circle lying in the first quadrant, passin...

    Text Solution

    |

  17. A circle touches Y-axis at (0,3) and makes an intercept 2 units on the...

    Text Solution

    |

  18. Two circles, each of radius 5 have a common tangent at (1,1), whose eq...

    Text Solution

    |

  19. Show that the angle between the tangents drawn from (-1,3) to the circ...

    Text Solution

    |

  20. If the circles (x-1)^(2)+(y-3)^(2)=4r^(2) and x^(2)+y^(2)-8x+2y+8=0 in...

    Text Solution

    |