Home
Class 11
MATHS
Consider a variable line L which passes ...

Consider a variable line L which passes through the point of intersection P of the line `3x+4y-12=0 and x+2y-5=0` meetingt the coordinate axes at point A and B.
Locus of the feet of the perpendicular from the origin on the variable line L has the equation

A

`2(x^2+y^2)-3x-4y=0`

B

`2(x^2+y^2)-4x-3y=0`

C

`x^2+y^2-3x-y=0`

D

`x^2+y^2-x-2y=0`

Text Solution

Verified by Experts

The correct Answer is:
B
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 Integer Type Qeustions)|4 Videos
  • STRAIGHT LINES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-I (MAIN) Straight Objective Type Questions)|10 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 More than One correct answer Type Questions)|3 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

Consider a variable line L which passes through the point of intersection P of the line 3x+4y-12=0 and x+2y-5=0 meetingt the coordinate axes at point A and B. Locus of the middle point of the segment AB has the eqution

Consider a variable line L which passes through the point of intersection P of the line 3x+4y-12=0 and x+2y-5=0 meetingt the coordinate axes at point A and B. Locus of the centroid of the variable triangle OAB has the equation (where O is origin )

If a circle passes through the points of intersection of the axes with the lines ax-y+1=0 and x-2y+3=0 then a=

A variable line drawn throgh the point of intersection of the lines x/a+y/b=1,x/b+y/a=1 meets the coordinate axes in A and B. Then the locus of midpoint of AB is

The equation of the line passing through the point of intersection of the lines 2x+3y-4=0, 3x-y+5=0 and the origin is

The equation of the line passing through the point of intersection of the lines 2x+y+1=0, x-y-7=0 and the point (3, -2) is

The equation of the line through the point of intersection of the lines 3x-4y+1=0 and 5x+y-1=0 and making equal non-zero intercepts on the coordinate axes is

The equation of the line passing through the point of intersection of the lines x-3y+2=0 and 2x+5y-7=0 and perpendicular to the line 3x+2y+5=0 is