Mark the correct alternative in each of the following: If the vectors are perpendicular, then the locus of (x, y) is

Question

Philoid · Accepted Answer

Let and

Given that and are perpendicular.

So,

⇒1-4x² -6y² =0

⇒4x²+6y²=1

Here, vectors are in 3-Dimensions

∴ above equation represents an ellipse .i.e. locus of (x, y) is an ellipse.