The image of the point (1, 6, 3) with respect to the line x/1=y-1/2=z-2/3 is Option 1: (1, 0, 7) Option 2: (0, 0, 0) Option 3: (1, -3, 5) Option 4: (1, 3, -5)

The answer is '(1, 0, 7)'. View full solution:

CUET Mathematics - The image of the point (1, 6, 3) with respect to the line x/1=y-1/2=z-2/3 is | PYQs + Solutions

CUET Mathematics 2026 14th May Shift 2

Geometry

Medium

core

(1, 0, 7)

(0, 0, 0)

(1, -3, 5)

(1, 3, -5)

✅ Correct Option: 1

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30th May Shift 1

Let $L_1$ and $L_2$ lines such that $L_1:\vec{r}=\hat{i}+\hat{j}+\lambda(2\hat{i}-\hat{j}+\hat{k})$ , $L_2:\vec{r}=2\hat{i}+\hat{j}-\hat{k}+\mu(4\hat{i}-2\hat{j}+2\hat{k})$ and $\theta$ be the acute angle between $L_1$ and $L_2$ , then

Match the LIST-I with LIST-II

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A.	$\cos\theta$	I.	$\dfrac{\sqrt{66}}{6}$
B.	$\sin\theta$	II.	$3$
C.	the shortest distance (in units) between $L_1$ and $L_2$	III.	$1$
D.	(sum of squares of direction cosines of $L_1$ ) $+2$	IV.	$0$

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(A) It passes through a given point and has a given direction.

(B) It passes through two given points.

(D) It has a given direction.

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25 May Shift 1

The angle between the line $\frac{x+2}{3} = \frac{y-3}{2} = \frac{z+5}{6}$ and the plane $2x + 10y - 11z = 5$ is:

CUET Mathematics 2026 14th May Shift 2 PYQs

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