First slide

Straight lines in 3D

Question

The value of $t$ for which the line $\frac{x - 1}{2} = \frac{y - 3}{t} = \frac{z - 1}{1}$ passes through the point $(1, 3, 1)$ and $(3, 1, 2)$ is

Moderate

A

1
B

2
C

$- 2$
D

0

Solution

The direction ratios of the line joining the points $(1, 3, 1)$ and $(3, 1, 2)$ is $2, - 2, 1$
Comparing the direction ration of the line $2, t, 1$ , the value of $t$ is $- 2$

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