A) hyperbola
B) circle
C) straight line
D) ellipse
E) parabola
Correct Answer: A
Solution :
Given vectors are orthogonal. \[\therefore \]\[(3x\hat{i}+y\hat{j}-3\hat{k}).(x\hat{i}-4y\hat{i}+4\hat{k})=0\] \[\Rightarrow \] \[3{{x}^{2}}-4{{y}^{2}}-12=0\] \[\Rightarrow \] \[\frac{{{x}^{2}}}{4}-\frac{{{y}^{2}}}{3}=1\] Hence, it represents a hyperbola.You need to login to perform this action.
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