CUET Mathematics - The distance between the lines r=i-2 j+3 k+(2 i+3 j+6 k) and r=3 i-2 j+1 k+(4 i+6 j+12 k) is : | PYQs + Solutions

CUET Mathematics

Geometry

Medium

core

$\frac{\sqrt{28}}{7}$

$\frac{\sqrt{199}}{7}$

$\frac{\sqrt{328}}{7}$

$\frac{\sqrt{421}}{7}$

✅ Correct Option: 3

Related questions:

21 May Shift 1

The value of k for which the lines $\frac{2x - 3}{4} = \frac{3 - y}{k} = \frac{z - 2}{-2}$ and $\frac{x - 2}{1} = \frac{y}{4} = \frac{5 - z}{3}$ are perpendicular to each other is:

16 May Shift 1

Consider the line $\frac{x-2}{2} = \frac{2y-5}{-3}, z = -1$ . Then which of the following is/are true?

(A) It has Direction ratios (2, -3, -1)

(B) It has Direction cosines $\left(\frac{4}{5}, \frac{-3}{5}, \frac{-1}{5}\right)$

(D) It has Direction cosines $\left(\frac{4}{5}, \frac{-3}{5}, 0\right)$

Choose the correct answer from the options given below:

29 May Shift 2

The vector equation of line passing through (2, -1, 3) and perpendicular to the lines

$\frac{x-2}{3} = \frac{y-1}{1} = \frac{z+2}{2}$ and $\frac{x+3}{-4} = \frac{y-5}{-3} = \frac{z+1}{2}$ is

(Here $\lambda$ is a parameter)

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