Home
Class 11
MATHS
Find the equation to the locus of a movi...

Find the equation to the locus of a moving point which is always equidistant from the straight lines `3x-4y-2=0and5x-12y=4`.

Text Solution

Verified by Experts

The correct Answer is:
`32x-56y=23or7x+4y=3`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    CHHAYA PUBLICATION|Exercise EXERCISE 2C (Long Answer Type Questions )|10 Videos

  • STRAIGHT LINE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Multiple Correct Answers Type)|5 Videos

  • STRAIGHT LINE

    CHHAYA PUBLICATION|Exercise EXERCISE 2C (Very Short Answer Type Questions )|8 Videos

  • MATHEMATICAL INDUCTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|20 Videos

Similar Questions

Explore conceptually related problems

Find the equation to the locus of a moving point which is equidistant from the points (2,3) and (4,-1).

Find the equation to the locus of a moving point which is always equidistant from the points (3 , 4 , -5) and ( - 2, 1 , 4)

Find the equation to the locus of a moving point which is always equidistant from the points (2,-1) and (3,2). What curve does the locus represent ?

Show that the point (-8,3) is equidistant from the straight lines 4x-3y+1=0and12x-5y+7=0 .

Prove that the point (2,2) is equidistant from the three straight lines 4x+3y-4=0,12x-5y+12=0and3x-4y=8.

Find the equation of the straight line equidistant from and parellel to the straight lines x+y-3=0,x+y+1=0 .

Find the equation to the locus of a moving point which moves in such a way that the difference of its distance from the points (5,0) and (-5,0) is always 5 unit.

Find the equation of the straight line which passes through the point of intercestion of the straight lines 3x-4y+1=0 and 5x+y=0 and makes equal intercepts upon the coordinate axes .

Show that any point on the straight line 11x-3y+11=0 is equidistant from the straight lines 12x+5y+12=0and3x-4y+3=0

Find the equation of the straight line which passes throught the point of intersection of the straight lines x+y+9=0 and 3x-2y+2=0 and is perpendicular to the line 4x+5y +1=0.