A) intersect each other at angle of \[45{}^\circ \]
B) are parallel to each other
C) are perpendicular to each other
D) none of these
Correct Answer: C
Solution :
| \[\frac{dy}{dx}=\frac{2y+3x}{2x+5y}\] \[\Rightarrow \] \[{{\left. \frac{dy}{dx} \right]}_{{{x}_{1}}{{y}_{1}}}}=0\] & \[{{\left. \frac{dy}{dx} \right]}_{{{x}_{2}}{{y}_{2}}}}=\infty \]\[\Rightarrow \] tangents are perpendicular |
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