Home
Class 12
MATHS
The tangents to x^2+y^2=a^2 having incli...

The tangents to `x^2+y^2=a^2` having inclinations `alpha` and `beta` intersect at `Pdot` If `cotalphacotbeta=0` , then find the locus of `Pdot`

A

x+y=0

B

x-y=0

C

xy=0

D

xy=1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 6|16 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 7|18 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 4|17 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|43 Videos

Similar Questions

Explore conceptually related problems

The tangents to x^(2)+y^(2)=a^(2) having inclinations alpha and beta intersect at P. If cot alpha+cot beta=0, then find the locus of P.

The tangents to x^(2)+y^(2)=r^(2) having inclinations theta_(1),theta_(2) intersect at P .If tan theta_(1)-tan theta_(2)=1 locus of P is

If alpha and beta are the roots of the equation x^(2) -x+7=0 , then find the value of alpha^(2) + beta^(2) .

Prove that the locus of a point,tangents from where to hyperbola x^(2)-y^(2)=a^(2) inclined at an angle alpha& beta with x-axis such that tan alpha tan beta=2 is also a hyperbola.Find the eccentricity of this hyperbola.

If the eccentric angles of two points P and Q on the ellipse x^2/a^2+y^2/b^2 are alpha,beta such that alpha +beta=pi/2 , then the locus of the point of intersection of the normals at P and Q is

If the tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 make angles alpha and beta with the major axis such that tan alpha+tan beta=gamma ,then the locus of their point of intersection is x^(2)+y^(2)=a^(2)(b)x^(2)+y^(2)=b^(2)x^(2)-a^(2)=2 lambda xy(d)lambda(x^(2)-a^(2))=2xy

If (alpha , beta) is the point on y^2=6x , that is closest to (3,3/2) then find the value of 2(alpha+beta)

If the tangents to the parabola y^(2)=4ax intersect the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at A and B, then find the locus of the point of intersection of the tangents at A and B.

Two tangents drawn on parabola y^(2)=4ax are making angle alpha_ _(1)and alpha_(2), with y -axis and if alpha_(1)+alpha_(2)=2 beta then locus of the point of intersection of these tangent is

ARIHANT MATHS-CIRCLE -Exercise For Session 5
  1. If the tangent at the point on the circle x^2+y^2+6x +6y=2 meets the ...

    Text Solution

    |

  2. If the circle x^2+y^2+2gx+2fy+c=0 is touched by y=x at P such that O P...

    Text Solution

    |

  3. The chord of contact of tangents from a point P to a circle passes thr...

    Text Solution

    |

  4. If the chord of contact of tangents from a point (x1, y1) to the circl...

    Text Solution

    |

  5. The locus of the mid point of a chord of the circle x^2+y^2=4 which su...

    Text Solution

    |

  6. The length of tangents from P(1,-1) and Q(3,3) to a circle are sqrt2an...

    Text Solution

    |

  7. If the angle between the tangents drawn to x^2+y^2+2gx+2fy+c=0 from (0...

    Text Solution

    |

  8. The chords of contact of the pair of tangents drawn from each point on...

    Text Solution

    |

  9. The length of the tangent from (0, 0) to the circle 2(x^(2)+y^(2))+x-y...

    Text Solution

    |

  10. Two perpendicular tangents to the circle x^2 + y^2= a^2 meet at P. The...

    Text Solution

    |

  11. The tangents to x^2+y^2=a^2 having inclinations alpha and beta interse...

    Text Solution

    |

  12. The exhaustive range of value of a such that the angle between the pai...

    Text Solution

    |

  13. If the distances from the origin of the centers of three circles x^2+y...

    Text Solution

    |

  14. find the area of the quadrilateral formed by a pair of tangents from t...

    Text Solution

    |

  15. If the length of the tangent from a point (f,g) to the circle x^2+y^2=...

    Text Solution

    |

  16. Find the equation of that chord of the circle x^2 + y^2 = 15, which is...

    Text Solution

    |

  17. The chrods of contact of the pair of tangents to the circle x^(2)+y^(2...

    Text Solution

    |