Home
Class 12
MATHS
If theta (1), theta(2) are the angles of...

If `theta _(1), theta_(2)` are the angles of inclination of
tangents through a point P to the circle
`x^(2)+y^(2) = a^(2) ` then find the locus of P when
`cot theta_(1) + cot theta_(2) = k.`

Text Solution

Verified by Experts

The correct Answer is:
2xy
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    AAKASH SERIES|Exercise ADDITIONAL SOLVED EXAMPLES|20 Videos

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE 1.1 (VERY SHORT ANSWER QUESTIONS)|6 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

If theta _ 1 and theta _2 are the angles of inclination of tangents through a point P to the circles x^(2) + y^(2) =a^(2) , then find the locus of P when cot theta _1 + cot theta _1 =k

If cot theta - tan theta = 2 , then theta =

Tangents to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 make angle theta_(1), theta_(2) with transvrse axis of a hyperbola. Show that the points of intersection of these tangents lies on the curve 2xy=k(x^(2)-a^(2)) when tan theta_(1)+ tan theta_(2)=k

If cosec theta + cot theta = 1//3 then cosec theta - cot theta =

The locus of the point of intersection of two tangents to the parabola y^(2)=4ax which make the angles theta_(1) and theta_(2) with the axis so that cot theta_(1)+cot theta_(2) = k is

If tan theta + cot theta = 2, find the value of tan^2 theta + cot^2 theta .

If theta is the angle between the tangents from (-1,0) to the circle x^(2)+y^(2)-5x+4y-2=0," then "theta=

(1+cosec theta - cot theta)/(1+cosec theta + cot theta)=

If cot theta + tan theta = 2 then cot^(n) theta + tan^(n) theta =

AAKASH SERIES-CIRCLES-PRACTICE EXERCISE
  1. If theta (1), theta(2) are the angles of inclination of tangents thr...

    Text Solution

    |

  2. The circle with centre (1,1) and radius 1 is

    Text Solution

    |

  3. For a circle two diameter are x+y=3, x-y=1 then centre is

    Text Solution

    |

  4. Circle with centre (-1,2) and passing through origin is

    Text Solution

    |

  5. The equation of the circle concentric with x^(2)+y^(2)-6x+4y-3=0 and h...

    Text Solution

    |

  6. The equation of the circle concentric with x^(2)+y^(2)-2x+8y-23=0 and ...

    Text Solution

    |

  7. For the circle x^(2)+y^(2)-4x+2y+c=0 radius is 4 then c=

    Text Solution

    |

  8. If A(1),A(2),A(3) be the areas of circles x^(2)+y^(2)+4x+6y-19=0, x^(2...

    Text Solution

    |

  9. The equation of the circle with centre (2,3) and distance between (0,0...

    Text Solution

    |

  10. The equation of the circle with radius 4 and centres as the midpoint o...

    Text Solution

    |

  11. The circle with centre (1,-3) and radius being the distance between th...

    Text Solution

    |

  12. If the area of the circle x^(2)+y^(2)+4x+2y+k=0 is 5pi square cms then...

    Text Solution

    |

  13. If (2,3) is an extremity of a diameter of the circle x^(2)+y^(2)-5x-8y...

    Text Solution

    |

  14. The line x/a+y/b=1 meets the axis of and y at A and B respectively and...

    Text Solution

    |

  15. Equation of circle with centre (-1,2) and passing through the centroid...

    Text Solution

    |

  16. The centroid of an equilateral triangle is (0, 0) and the length of th...

    Text Solution

    |

  17. Equation of the circle with radius 10 and whose two diameters are x+y=...

    Text Solution

    |

  18. If a circle is inscribed in a square of side 10, so that the circle t...

    Text Solution

    |

  19. Show that the equation of the circle which pass through the points (1,...

    Text Solution

    |

  20. If the abscissae of points A, B are the roots of the equation x^(2) + ...

    Text Solution

    |

  21. The abscissae of two points A and B are the roots of the equation x^(2...

    Text Solution

    |