Question

the locus of a point whose distance from x axis and y axis are in the ratio 2:3 is x^2=ky^2 then k is​

Answer 1

Coordinates Geometry

Given: the locus of a point whose distance from x axis and y axis are in the ratio 2 : 3 is x² = ky²

To find: the value of k = ?

Solution: Let, the point be V (p, q).

• The distance of the point V from the x-axis is q units and the distance of the point V from the y-axis is p.
• Given that, q : p = 2 : 3 or, q/p = 2/3

Since given locus of the point V (p, q) is x² = ky², we can write

p² = kq²

or, k = 1 / (q/p)²

or, k = 1 / (2/3)²

or, k = 1 / (4/9)

or, k = 9/4

Answer: the value of k is 9/4.