Consider the lines l1:0x−1=1y−1=12−z and l2:2x=0y=42z−1, then which of the following are correct?
(A) Direction Ratio's of l1=<0,1,1>
(B) Direction Ratio's of l2=<2,0,2>
(C) Angle between l1 and l2= 3π
(D) Angle between l1 and l2= 32π
Choose the correct answer from the options given below:
Held on 15 May 2025 · Verified 13 Jul 2026.
(B) and (D) only
(A) and (C) only
(A), (B) and (C) only
(D) only
Sign in to track your attempts and accuracy.
Sign in to keep a private note on this question. Nothing you write is ever public.
The shortest distance between the following lines: $\vec{r} = (\hat{i} + \hat{j} - \hat{k}) + s(2\hat{i} + \hat{j} + \hat{k})$ $\vec{r} = (\hat{i} + \hat{j} + 2\hat{k}) + t(4\hat{i} + 2\hat{j} + 2\hat{k})$, where s and t are scalars, is:
The angle between the line $2x = 3y = z$ and $x$- axis is:
The angle at which the line, $\frac{x-1}{0} = \frac{2-y}{-1} = \frac{2z-3}{-2}$ is inclined with the positive direction of z-axis is
$\sin^{-1}(\cos\frac{3\pi}{5})$ equals
If lines $\frac{x+5}{5\lambda+2} = \frac{4-2y}{10} = \frac{1-3z}{-3}$ and $\frac{x-2}{1} = \frac{1+2y}{4\lambda} = \frac{2+z}{3}$ are perpendicular, than value of '$\lambda$' is
Work through every CUET UG Geometry PYQ, year by year.