Home
Class 12
MATHS
A line is drawn through a fix point P(al...

A line is drawn through a fix point P(`alpha, beta`) to cut the circle `x^2 + y^2 = r^2` at A and B. Then PA.PB is equal to :

A

`(alpha + beta)^(2)-r^(2)`

B

`alpha^(2)+beta^(2)-r^(2)`

C

`(alpha-beta)^(2)+r^(2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|12 Videos

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|31 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|59 Videos

Similar Questions

Explore conceptually related problems

A line is drawn through a fixed point P(alpha, B) to cut the circle x^(2)+y^(2)=r^(2) at A and B. Then PA.PB is equal to

A line is drawn through a fix point P(alpha,beta) to cut the circle x^(2)+y^(2)=r^(2) at A and B. Then PAt the circle x^(2)+y^(2)=r^(2) at A and B. Then PAt PB is equal to:

A line is drawn through the point P(3,11) to cut the circle x^(2)+y^(2)=9 at A and B. Then PA.PB is equal to

A line drawn through the point P(4,7) cuts the circle x^(2)+y^(2)=9 at the points A and B .Then PA.PB is equal to:

A line passes through the point P (5,6) outside the circle x^(2) + y ^(2) = 12 and meets the circle at A and B. The value of PA. PB is equal to

The tangent at the point (alpha, beta) to the circle x^2 + y^2 = r^2 cuts the axes of coordinates in A and B . Prove that the area of the triangle OAB is a/2 r^4/|alphabeta|, O being the origin.

If a line passes through the point P(1,-2) and cuts the x^2+y^2-x-y= 0at A and B, then themaximum of PA+PB is

A line passing through the points A(1.-2) cuts the circle x^(2)+y^(2)-y=0 at P and Q Then the maximum value of |AP-AQ| is

OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. Four distinct points (2k,3k) , (1,0), (0,1) and (0,0) lies on a circl...

    Text Solution

    |

  2. A square is inscribed in the circle x^2+y^2-2x+4y-93=0 with its sides ...

    Text Solution

    |

  3. A line is drawn through a fix point P(alpha, beta) to cut the circle x...

    Text Solution

    |

  4. The equation of circles passing through (3, -6) touching both the axes...

    Text Solution

    |

  5. The centre of a circle passing through the points (0, 0), (1, 0) and t...

    Text Solution

    |

  6. If 2x-4y=9 and 6x-12y+7=0 are parallel tangents to circle, then radiu...

    Text Solution

    |

  7. One of the diameters of the circle x^2+y^2-12x+4y+6=0 is given by

    Text Solution

    |

  8. The length of the chord cut off by y=2x+1 from the circle x^2+y^...

    Text Solution

    |

  9. Area of the circle in which a chord of lengthsqrt2 makes an angle pi/2...

    Text Solution

    |

  10. The coordinates of the middle point of the chord cut-off by 2x-5y+18=0...

    Text Solution

    |

  11. Find the equation of the circle which passes through the points (1,-2)...

    Text Solution

    |

  12. If the lines 3x-4y-7 = 0 and 2x-3y-5=0 are two diameters of a circle o...

    Text Solution

    |

  13. Equation of the circle with centre on the y-axis and passing through t...

    Text Solution

    |

  14. If the lines a1x+b1y+c1=0 and a2x+b2y+c2=0 cut the coordinae axes at c...

    Text Solution

    |

  15. If a circle passes through the points of intersection of the coordinat...

    Text Solution

    |

  16. ABCD is a square in first quadrant whose side is a, taking AB and AD a...

    Text Solution

    |

  17. If the points (2, 0), (0, 1), (4, 5)and (0, c) are concyclic, then th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. The equation of tangents drawn from the origin to the circlex^2+y^2-2r...

    Text Solution

    |