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

`(7/3,(-9)/5)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-IV Problems on Angle between lines, Foot, Image, Orthocentre, Circumcentre, Incentre, Angle Bisector and Locus) (LEVEL-II More than One correct answer Type Questions)|3 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-IV Problems on Angle between lines, Foot, Image, Orthocentre, Circumcentre, Incentre, Angle Bisector and Locus) (LEVEL-II Linked Comprehension Type Questions)|6 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-III Problems on point of intersection of lines and concurrency of lines) (LEVEL- II Integer Type Questions)|1 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-PRACTICE SHEET (EXERCISE-IV Problems on Angle between lines, Foot, Image, Orthocentre, Circumcentre, Incentre, Angle Bisector and Locus) (LEVEL-I Staight Objective Type Questions)
  1. The locus of feet of perpendiculars drawn from origin to the straight ...

    Text Solution

    |

  2. Two sides of a triangle are y=m(1)x and y=m(2)x,m(1),m(2) are the root...

    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. A line passing through the points (7,2) , (-3,2) then the image of the...

    Text Solution

    |

  5. If the image of (-7//5, -6//5) in a line is (1, 2), then the equation ...

    Text Solution

    |

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

    Text Solution

    |

  7. The acute angle bisector between the line 3x-4y-5=0, 5x+12y-26=0 is

    Text Solution

    |

  8. The image of the point (3, 8) in the line x+3y=7 is

    Text Solution

    |

  9. ABC is a variable triangle such that A is (1,2), and B and C lie on th...

    Text Solution

    |

  10. A rectangle ABCD has its side AB parallel to line y=x, and vertices A,...

    Text Solution

    |

  11. The image of the lie x+y-2=0 in the y-axis is

    Text Solution

    |

  12. The+ve value of a for which the image of (a,a-1) w.r.t the line x+y=6a...

    Text Solution

    |

  13. Equation of line equidistance from the lines 2x+y+4=0 and 3x+6y-5=0 is

    Text Solution

    |

  14. The locus of a point that is equidistant from the lines x+y-2sqrt2=0 a...

    Text Solution

    |

  15. A is a point on either of two line y+sqrt3absx=2 " at a distance of "...

    Text Solution

    |

  16. If the line ax+by=1 passes through point of intersetion of y=x tanalp...

    Text Solution

    |

  17. In a triangle ABC, if A-=(1,2) and the internal angle bisectors throug...

    Text Solution

    |

  18. The orhocenter of triangle formed by the lines xy=0 and x+y=1 is

    Text Solution

    |

  19. If the staight lines 2x+3y-1=0,x+2y-1=0, and ax+by-1=0 from a triangle...

    Text Solution

    |

  20. Two verticess of a Triangle are (1,3) and (4,7) the orthocentre lies o...

    Text Solution

    |