Home
Class 12
MATHS
P is a point on the circle x^2+y^2=9 Q i...

P is a point on the circle `x^2+y^2=9` Q is a point on the line `7x+y+3=0`. The perpendicular bisector of PQ is `x-y+1=0`. Then the coordinates of P are:

A

`(3,0)`

B

`(0,3)`

C

`(-72,21)`

D

`(-1,1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

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

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS )|16 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (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

P is a point on the circle x^(2)+y^(2)=9Q is a point on the line 7x+y+3=0. The perpendicular bisector of PQ is x-y+1=0 Then the coordinates of P are:

Let P be a point on the circle x^(2)+y^(2)=9,Q a point on the line 7x+y+3=0 ,and the perpendicular bisector of PQ be the line x-y+1=0. Then the coordinates of P are (0,-3)(b)(0,3)((72)/(25),(21)/(35))(d)(-(72)/(25),(21)/(25))

P is a point on the parabola y^(2)=4x and Q is Is a point on the line 2x+y+4=0. If the line x-y+1=0 is the perpendicular bisector of PQ, then the co-ordinates of P can be:

Let P be the foot of perpendicular drawn from a point Q on the line x + y +4 = 0 to the line 5x + y = 0. If P is the image of point R(12, 0) about the line x + y = 2, then coordinates of Q are

Let P be the foot of perpendicular drawn from a point Q on the line x + y +4 = 0 to the line 5x + y = 0. If P is the image of point R(12, 0) about the line x + y = 2, then coordinates of Q are

Tangents are drawn from a point P on the line y=4 to the circle x^(2)+y^(2)=25 .If the tangents are perpendicular to each other,then coordinates of P are

The point P of the curve y^(2)=2x^(3) such that the tangent at P is perpendicular to the line 4x-3y +2=0 is given by

P and Q are any two points on the circle x^(2)+y^(2)=4 such that PQ is a diameter.If alpha and beta are the lengths of perpendiculars from P and Q on x+y=1 then the maximum value of alpha beta 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

Tangent to the curve y=x^(2)+6 at a point P(1, 7) touches the circle x^(2)+y^(2)+16x+12y+c=0 at a point Q. Then the coordinates of Q are

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -EXERCISE (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. A line makes equal intercepts of length a on the coordinate axes. A ci...

    Text Solution

    |

  2. alpha,beta and gamma are parametric angles of three points P, Q and R ...

    Text Solution

    |

  3. P is a point on the circle x^2+y^2=9 Q is a point on the line 7x+y+3=0...

    Text Solution

    |

  4. If the circle (x- a)^2+y^2 =25 intersect the circle x^2+(y -b)^2=16 in...

    Text Solution

    |

  5. If O Aa n dO B are equal perpendicular chords of the circles x^2+y^...

    Text Solution

    |

  6. Find the equation of the circle passing through (1,0)a n d(0,1) and ha...

    Text Solution

    |

  7. From the point A (0, 3) on the circle x^2+4x+(y-3)^2=0 a chord AB is d...

    Text Solution

    |

  8. If the lines 3x-4y+4=0a d n6x-8y-7=0 are tangents to a circle, then fi...

    Text Solution

    |

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

    Text Solution

    |

  10. The distance between the chords of contact of tangents to the circle x...

    Text Solution

    |

  11. A variable circle passes through the point A(a ,b) and touches the x-a...

    Text Solution

    |

  12. The locus of a point, which moves such that the lengths of the tangent...

    Text Solution

    |

  13. The circle that can be drawn to touch the coordinate axes and the line...

    Text Solution

    |

  14. Area of an equilateral triangle inscribed in a circle of radius a is

    Text Solution

    |

  15. A point P moves such that PA/PB = p where A and B are two fixed pints ...

    Text Solution

    |

  16. The lengths of the tangents from the points A and B to a circle are l...

    Text Solution

    |

  17. Two circles which pass through the points A(0, a), B (0,-a) and touch ...

    Text Solution

    |

  18. No portion of the circle x ^(2) + y^(2) - 16x + 18y + 1=0 lies in the

    Text Solution

    |

  19. The geometrical mean between the smallest and greatest distance of the...

    Text Solution

    |

  20. The length of the longest ray drawn from the point (4,3) to the circle...

    Text Solution

    |