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The two variable vectors 3xhati+yhatj-3h...

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

A

hyperbola

B

circle

C

straight line

D

ellipse

Text Solution

Verified by Experts

The correct Answer is:
A
Given vectors are orthogonal
` (3xhati +yhatj-3hatk ).(xhati -4yhatj-4hatk)=0`
`implies 3x ^(2) -4y^(2) -12=0`
`implies (x^(2))/(4)-(y^(2))/(3)=1`
hence . It represents a hyperbola.
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-VECTORS -( MHT CET Corner)
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  12. If a, b, c are linearly independent vectors and delta =|(a,b,c),(a.a,a...

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  18. If 2veca+ 3vecb-5 vecc=vec0, then ratio in which vecc divides vec...

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  19. If the constant forces 2hati-5hatj+6hatk and -hati+2hatj-hatk act on a...

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