A) \[\pm \sqrt{5}\]
B) \[\pm \,4\]
C) \[\pm 1/2\]
D) \[\pm 1/\sqrt{3}\]
Correct Answer: A
Solution :
Idea To find the points, the intersection of the given line and curve, put z = 0 in equation of line. These points lie on the curve xy = e2. For the points where the line intersects the curve, we have z = 0 \[\therefore \] \[\frac{x-2}{3}=\frac{y+1}{2}=\frac{0-1}{-1}\] \[\Rightarrow \] \[\frac{x-2}{3}=1\]and\[\frac{y+1}{2}=1\] \[\Rightarrow \] \[x=5,y=1\] Put\[x=5,y=1\]in \[xy={{c}^{2}}\] \[c=\pm \sqrt{5}\] TEST Edge The intersection of line and curve and a line lie on the plane related question are asked. Students are suggested to understand the concept of line and plane.
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