Home
Class 12
MATHS
Let P be a point on the circle x^2+y^2=9...

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 `P Q` 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))`

A

(3, 0)

B

(0, 3)

C

(72/25, -21/25)

D

(-72/25, -21/25)

Text Solution

Verified by Experts

The correct Answer is:
A
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

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 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:

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:

The line 7y-x=25 cuts the curve x^(2)+y^(2)=25 at the points A and B. Find the equation of the perpendicular bisector of the line AB.

The point A (2,7) lies on the perpendicular bisector of the line segment joining the points P (5,-3) and Q(0,-4).

The equation of a line passing through the point of intersection of lines x+2y +3 =0 and 3x+4y +7=0 and perpendicular to the line x-y+9 =0 is

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

Let A3(0,4) and Bs(21,0)in R. Let the perpendicular bisector of AB at M meet the y- axis at R. Then the locus of midpoint P of MR is y=x^(2)+21

OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. The condition that the chord xcosalpha+ysinalpha=p=0 of x^2+y^2-a^2=0 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. If the angle of intersection of the circle x^2+y^2+x+y=0 and x^2+y^2+x...

    Text Solution

    |

  8. Find the equation of the circle whose radius is 5a n d which touches t...

    Text Solution

    |

  9. A B is a diameter of a circle and C is any point on the circle. ...

    Text Solution

    |

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

    Text Solution

    |

  11. The point of which the line 9x + y - 28 = 0 is the chord of contact of...

    Text Solution

    |

  12. If the tangents are drawn to the circle x^2+y^2=12 at the point where ...

    Text Solution

    |

  13. If the straight line x - 2y + 1 = 0 intersects the circle x^2 + y^2 = ...

    Text Solution

    |

  14. If the chord of contact of the tangents drawn from the point (h , k) t...

    Text Solution

    |

  15. Find the equation of the circle which cuts the three circles x^2+y^2-3...

    Text Solution

    |

  16. The equation of the circle which passes through (2a, 0) and has the ra...

    Text Solution

    |

  17. If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...

    Text Solution

    |

  18. If the pole of a straight line with respect to the circle x^(2)+y^(2)=...

    Text Solution

    |

  19. Find the equation of the chord of the circle x^2+y^2=9 whose middle po...

    Text Solution

    |

  20. Locus of the mid points of the chords of the circle x^2+y^2=a^2 which ...

    Text Solution

    |