CUET Mathematics - If a line makes angles , , with the positive directions of x-axis, y- axis and z-axis respectively, then sin^2 + sin^2 + sin^2 is equal to | PYQs + Solutions

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)

15 May Shift 1

Consider the lines $l_1: \frac{x-1}{0} = \frac{y-1}{1} = \frac{2-z}{1}$ and $l_2: \frac{x}{2} = \frac{y}{0} = \frac{2z-1}{-1}$ , then which of the following are correct?

(A) Direction Ratio's of $l_1 = <0, 1, 1>$

(B) Direction Ratio's of $l_2 = <2, 0, 2>$

(C) Angle between $l_1$ and $l_2$ is $\frac{\pi}{3}$

(D) Angle between $l_1$ and $l_2$ is $\frac{2\pi}{3}$

Choose the correct answer from the options given below:

22 May Shift 2

The co-ordinates of the point where the line $\frac{x+3}{3} = \frac{y-1}{-1} = \frac{z-5}{-5}$ cuts $yz$ -plane are:

CUET Mathematics 2025 14 May Shift 1 PYQs

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