1.

The two variable vectors 3xhati+yhatj-3hatk and xhati-4yhatj+4hatk are orthogonal to each other, then the locus of (x, y) is

Answer»

HYPERBOLA
circle
straight line
ellipse

Solution :Givenvectors areorthogonal
` (3xhati +yhatj-3hatk ).(xhati -4yhatj-4hatk)=0`
`implies3x ^(2) -4Y^(2) -12=0`
`implies (X^(2))/(4)-(y^(2))/(3)=1`
HENCE. It represents a hyperbola.


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