Home
Class 12
MATHS
Two perpendicular tangents to the circle...

Two perpendicular tangents to the circle `x^(2) + y^(2) =a^(2)` meet at P. Then the locus of P has the equation.

A

`x^(2)+y^(2)-2a^(2)`

B

`x^(2)+y^(2)=3a^(2)`

C

`x^(2)+y^(2)=4a^(2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
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

There are two perpendicular lines, one touches to the circle x^(2) + y^(2) = r_(1)^(2) and other touches to the circle x^(2) + y^(2) = r_(2)^(2) if the locus of the point of intersection of these tangents is x^(2) + y^(2) = 9 , then the value of r_(1)^(2) + r_(2)^(2) is.

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.

The locus of the point of intersection of perpendicular tangents to the circles x^(2)+y^(2)=a^(2) and x^(2)+y^(2)=b^(2) , is

If the tangent from a point p to the circle x^2+y^2=1 is perpendicular to the tangent from p to the circle x^2 +y^2 = 3 , then the locus of p is

The locus of the point of intersection of the perpendicular tangents to the circle x^(2)+y^(2)=a^(2), x^(2)+y^(2)=b" is "

If AB is the intercept of the tangent to the circle x^2 +y^2=r^2 between the coordinate axes, the locus of the vertex P of the rectangle OAPB is

IF the locus of the point of intersection of two perpendicular tangents to a hyperbola (x^(2))/(25) - (y^(2))/(16) =1 is a circle with centre (0, 0), then the radius of a circle is

The tangent at any point to the circle x^(2)+y^(2)=r^(2) meets the coordinate axes at A and B. If the lines drawn parallel to axes through A and B meet at P then locus of P is

A tangent to the circle x^(2)+y^(2)=1 through the point (0, 5) cuts the circle x^(2)+y^(2)=4 at P and Q. If the tangents to the circle x^(2)+y^(2)=4 at P and Q meet at R, then the coordinates of R are

OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Exercise
  1. If the point (2,0) ,(0,1) , ( 4,5) and ( 0,c) are concyclic, then the ...

    Text Solution

    |

  2. Find the point of intersection of the following pairs of lines: b x+a ...

    Text Solution

    |

  3. Two perpendicular tangents to the circle x^(2) + y^(2) =a^(2) meet at ...

    Text Solution

    |

  4. The equation of the tangents drawn from the origin to the circle x^(2)...

    Text Solution

    |

  5. If from any point P on the circle x^2+y^2+2gx+2fy+c=0, tangents are dr...

    Text Solution

    |

  6. If the equation of a given circle is x^2+y^2=36 , then the length of t...

    Text Solution

    |

  7. Find the angle which the common chord of x^2+y^2-4x-4y=0 and x^2+y^2=1...

    Text Solution

    |

  8. Show that the equation of the circle passing through (1, 1) and the ...

    Text Solution

    |

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

    Text Solution

    |

  10. Find the equation of a circle with center (4, 3) touching the circle x...

    Text Solution

    |

  11. Find the number of common tangents that can be drawn to the circles...

    Text Solution

    |

  12. If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find ...

    Text Solution

    |

  13. Find the condition if the circle whose equations are x^2+y^2+c^2=2a x ...

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. The condition that the chord xcosalpha+ysinalpha-p=0 of x^2+y^2-a^2=0 ...

    Text Solution

    |

  16. The locus of the centres of the circles which touch x^2+y^2=a^2 and x^...

    Text Solution

    |

  17. Let P be a point on the circle x^2+y^2=9,Q a point on the line 7x+y+3=...

    Text Solution

    |

  18. Two lines through (2, 3) from which the circle x^2+y^2 =25 intercepts ...

    Text Solution

    |

  19. A line meets the coordinate axes at A and B . A circle is circumscribe...

    Text Solution

    |

  20. Find the co-ordinate of the point on the circle x^2+y^2-12x-4y +30=0, ...

    Text Solution

    |