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The line $\frac{x - 2}{3} = \frac{y + 1}{2} = \frac{z - 1}{- 1}$ intersects the curve $x y = c^{2}, z = 0$ if c=

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Correct option is C

we have z=0 for the point, where the line intersects the curve. therefore x−23=y+12=0−1−1⇒x−23=1 and y+12=1⇒x=5 and y=1Putting these values in xy=c2, we get 5=c2⇒c=±5

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The line x−23=y+12=z−1−1 intersects the curve xy=c2,z=0 if c=

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Ready to Test Your Skills?

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The line $\frac{x - 2}{3} = \frac{y + 1}{2} = \frac{z - 1}{- 1}$ intersects the curve $x y = c^{2}, z = 0$ if c=