Question

A point moves in such a manner that three times of its abscissa is greater by 5 than two times of its ordinate; find the equation of its locus.

(a) 3y-2y=5

(b) 3x-2y=5

(c) 2x+3y=5

(d) 2x-3y=5

I got this question at a job interview.

My question comes from Loci of Points in section Lettering Practice, Scales & Curves of Civil Engineering Drawing

Answer 1

Right option is (b) 3x-2y=5

Explanation: Here the terms abscissa and ordinate are the coordinates of a point in a two- dimensional rectangular Cartesian coordinate system where abscissa represents x-axis and ordinate as y-axis. So according to the given question the equation is as follows: 3x-2y=5.