Home
Class 12
MATHS
Find the locus of a point whose distance...

Find the locus of a point whose distance from (a, 0) is equal to its distance from the y-axis.

Text Solution

Verified by Experts

The correct Answer is:
`y^2-2ax+a^2=0`
Let the point be (h,k). Therefore,
`(h-a)^2+(k-0)^2=h^2`
or `h^2+a^2-2ah+k^2=h^2`
Hence the locus is `y^2-2ax+a^2=0`.
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise (Single)|59 Videos

  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise (Multiple)|13 Videos

  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise 1.5|5 Videos

  • COORDINATE SYSTEM

    CENGAGE|Exercise Multiple Correct Answers Type|2 Videos

  • CROSS PRODUCTS

    CENGAGE|Exercise DPP 2.2|13 Videos

Similar Questions

Explore conceptually related problems

The locus of a point whose distance from (-2,0) " is " 2/3 times its distance from the line x= (-9)/2 is

The equation of the locus of the point whose distance from y-axis is half the distance from origin is

Find the locus of a polnt which moves such that its distance from the x-axis is equal to the distance from the y-axis.

Find the locus of appoint which moves such that the sum of the squares of its distance from the points A(1,2,3),B(2,-3,5)a n dC(0,7,4)i s120.

Find the locus of appoint which moves such that the sum of the squares of its distance from the points A(1,2,3),B(2,-3,5)a n dC(0,7,4)i s120.

i. Find the coordinates of the point which trisect the line segment joining the points P(4,0,1) and Q(2,4,0) . (ii) Find the locus of the set of points P such that the distance from A(2,3,4) is equal to twice the distance from B(-2,1,2) .

Find the locus of a point which divides so that the sum of its distances from (-4,0) and (4,0) is 10 units.

Find the locus of a point which moves such thet its distance from the x axis is twice the distance from y axis.