CUET Mathematics - The two lines given by r = (i + 2j + 3k) + (i - j + k) and r = (2i - j - k) + (-i + j - k) A. are perpendicular B. are parallel. C. have shortest distance 0. D. have shortest distance sqrt(26). E. have shortest distance sqrt(78). Which of the above statements are true? Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2022 16 July Shift 2

Geometry

Hard

A and D only

B and D only

B and C only

B and E only

✅ Correct Option: 2

Related questions:

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:

27 May Shift 1

Match List-I with List-II

List-I	List-II
(A) Line : $x = 2y + 1 = z - 1$	(I) Crosses $xz$ plane at (1, 0, 1)
(B) Line : $x + 1 = 2y + 1 = z$	(II) Crosses $xz$ plane at (0, 0, 1)
(C) Line : $x - 1 = 2y = z + 1$	(III) Crosses $xz$ plane at (1, 0, -1)
(D) Line : $x - 1 = 2y = z - 1$	(IV) Crosses $xz$ plane at (1, 0, 2)

Choose the correct answer from the options given below:

16 May Shift 1

The distance between the lines $\vec{r}=\hat{i}-2 \hat{j}+3 \hat{k}+\lambda(2 \hat{i}+3 \hat{j}+6 \hat{k})$ and $\vec{r}=3 \hat{i}-2 \hat{j}+1 \hat{k}+\mu(4 \hat{i}+6 \hat{j}+12 \hat{k})$ is :

CUET Mathematics 2022 16 July Shift 2 PYQs

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