Home
Class 12
MATHS
A line is drawn through the point P(3,11...

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

9

B

121

C

205

D

139

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|30 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS )|17 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (CONCEPT - BASED ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|20 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE (ENTRANCE EXAMINATION PAPERS)|14 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

Similar Questions

Explore conceptually related problems

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 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 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

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

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

Lines are drawn through the point P(-2,-3) to meet the circle x^(2)+y^(2)-2x-10y+1=0 The length of the line segment PA,A being the point on the circle where the line meets the circle at coincident points,is 4sqrt(k) then k is

A variable straight line through A(-1,-1) is drawn to cut the circle x^(2)+y^(2)=1 at the point B and C.P is chosen on the line ABC, If AB,AP,AC are in A.P. then the locus of P is

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -SOLVED EXAMPLES (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. The equation of a circle with origin as centre and passing through the...

    Text Solution

    |

  2. The circles x ^(2) + y ^(2) -10 x + 16=0 and x ^(2) + y ^(2) =r ^(2) i...

    Text Solution

    |

  3. A line is drawn through the point P(3,11) to cut the circle x^(2)+y^(2...

    Text Solution

    |

  4. If the line x cos alpha + y sin alpha = p represents the common chod A...

    Text Solution

    |

  5. A circle touches both the coordinate axes and the line x-y=sqrt(2)a, a...

    Text Solution

    |

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

    Text Solution

    |

  7. An acute triangle PQR is inscribed in the circle x^2+y^2= 25. If Q and...

    Text Solution

    |

  8. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

    Text Solution

    |

  9. An isosceles triangle is inscribed in the circle x ^(2) + y ^(2) - 6x ...

    Text Solution

    |

  10. Find the equations to the common tangents of the circles x^2+y^2-2x-6y...

    Text Solution

    |

  11. The centre of the circle whose radius is 5 and which touches the circl...

    Text Solution

    |

  12. A point moves such that the sum of the squares of its distances from t...

    Text Solution

    |

  13. Equation of a circle with centre (-4,3) touching internally and contai...

    Text Solution

    |

  14. The equations of the tangents drawn from the origin to the circle x^2 ...

    Text Solution

    |

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

    Text Solution

    |

  16. An equation of a circle touching the axes of coordinates and the line ...

    Text Solution

    |

  17. If one of the diameters of the circle x^2+y^2-2x-6y+ 6 = 0 is a chord ...

    Text Solution

    |

  18. The centres of a set of circles, each of radius 3, lie on the circle x...

    Text Solution

    |

  19. If a circle passes through the point (a,b) and cuts the circle x^(2)+y...

    Text Solution

    |

  20. Consider a family of circles which are passing through the point (-...

    Text Solution

    |