Q8 of 138 Page 24

Mark the correct alternative in each of the following:

If the vectors are perpendicular, then the locus of (x, y) is


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.

More from this chapter

All 138 →
6

Mark the correct alternative in each of the following:

If the position vectors of P and Q are then the cosine of the angle between and y-axis is


 7

Mark the correct alternative in each of the following:

If are unit vectors, then which of the following values of is not possible?


 9

Mark the correct alternative in each of the following:

The vector component of perpendicular to is


 10

Mark the correct alternative in each of the following:

The length of the longer diagonal of the parallelogram constructed on and if its is given that and angle between is π/4, is