Home
Class 11
MATHS
Suppose A,B are two points on 2x-y+3=0 a...

Suppose A,B are two points on `2x-y+3=0` and P(1,2) is such that `PA=PB`. Then the mid point of AB is

A

`((-1)/5,13/5)`

B

`((-7)/5,9/5)`

C

`(7/5,(-9)/5)`

D

`((-7)/5,16/5)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|102 Videos
  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas)(Straight Objective Type Question)|30 Videos
  • STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE I|57 Videos
  • REVISION EXERCISE

    AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos
  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

Similar Questions

Explore conceptually related problems

P and Q are points on the line joining A(-2, 5), B(3, -1) such that AP = PQ = QB. Then the mid point of PQ is

Suppose P(-2,3) and Q(3,7) are two points such that PA^(2)+QA^(2) is the least . Then the point A on the x-axis is

A(-9, 0) and B(-1, 0) are two points. If P(x, y) is a point such that 3PB = PA , then the locus of P is

A ( - 9, 0) ,B ( - 1, 0) are two points. If P is a point such that PA : PB = 3 : 1 , then the locus of P is

A(2, 1) and B(1, 2) are two points. If P is a point such that PA : PB = 2:1 , then the locus of P is

If A =(1,2,3) and B=(3,5,7) and P, Q are the points on AB such that AP= PQ =QB,then the mid point of PQ is

I : If the distances from P to the points ( 3,4), ( - 3, 4) are in the ratio 3 : 2 , then the locus of P is 5 x ^ 2 + 5y ^ 2 + 78 x - 40 y + 125 = 0 II : A ( -9, 0) , B( -1, 0) are two points. If P is a point such that P A : PB = 3 : 1 , then the locus of P is x ^ 2 + y^ 2 = 9

AAKASH SERIES-STRAIGHT LINES-EXERCISE -II
  1. Two equal sides of isosceles triangle are given by equation 7x-y+3=0 a...

    Text Solution

    |

  2. The nearest point on the line 2x-y+5=0 from the origin is

    Text Solution

    |

  3. Suppose A,B are two points on 2x-y+3=0 and P(1,2) is such that PA=PB. ...

    Text Solution

    |

  4. If 2x+3y=5 is the perpendicular bisector of the line segment joining t...

    Text Solution

    |

  5. If the foot of the line perpendicular from (-4,5) to the straight line...

    Text Solution

    |

  6. The points A(1,2),B(3,-4) are two vertices of the rectangle ABCD. The ...

    Text Solution

    |

  7. If 2x+3y+4=0 is the perpenedicular bisector of the segment joining the...

    Text Solution

    |

  8. The equations of perpendicular bisectors of sides AB, BC of Delta ABC ...

    Text Solution

    |

  9. The vertex of a equilateral triangle is at (2,-1) and the side opposit...

    Text Solution

    |

  10. The locus of feet of perpendiculars drawn from origin to the straight ...

    Text Solution

    |

  11. The number of points P(x, y) with natural numbers as coordinates that ...

    Text Solution

    |

  12. The point on the line 3x+4y=5 which is equidistant from (1, 2) and (3,...

    Text Solution

    |

  13. The figure formed by the lines 2x-5y+4=0, 5x+2y+7=0, 2x-5y+3=0, 5x+2y-...

    Text Solution

    |

  14. The figure formed by the lines 2x+5y+4=0, 5x+2y+7=0, 2x+5y+3=0and 5x+2...

    Text Solution

    |

  15. The diagonals of the parallelogram whose sides are lx+my+n=0, lx+my+n(...

    Text Solution

    |

  16. The diagonals of the parallelogrma formed by the lines a(1)x+b(1)y+c(1...

    Text Solution

    |

  17. The area of the quadrilateral formed by thelines 4x-7y-13=0, 8x-y-39=0...

    Text Solution

    |

  18. The area of the quadrilateral formed by the lines a|x|+b|y|+c=0 is

    Text Solution

    |

  19. The number of lines that can be drawn through the point (4, -5) at a d...

    Text Solution

    |

  20. The number of lines that can be drawn through the point (4, sqrt(13)) ...

    Text Solution

    |