CBSE 12th Mathematics Delhi Set 1 - 2024

MCQ (Single Correct Answer)

-0

The angle which the line $\frac{x}{1}=\frac{y}{-1}=\frac{z}{0}$ makes with the positive direction of Y -axis is

$\frac{5 \pi}{6}$

$\frac{3 \pi}{4}$

$\frac{5 \pi}{4}$

$\frac{7 \pi}{4}$

CBSE 12th Mathematics Delhi Set 1 - 2024

MCQ (Single Correct Answer)

-0

The Cartesian equation of the line passing through the point $(1,-3,2)$ and parallel to the line $\vec{r}=(2+\lambda) \hat{i}+\lambda \hat{j}+(2 \lambda-1) \hat{k}$ is

$\frac{x-1}{2}=\frac{y+3}{0}=\frac{z-2}{-1}$

$\frac{x+1}{1}=\frac{y-3}{1}=\frac{z+2}{2}$

$\frac{x+1}{2}=\frac{y-3}{0}=\frac{z+2}{-1}$

$\frac{x-1}{1}=\frac{y+3}{1}=\frac{z-2}{2}$

CBSE 12th Mathematics Delhi Set 1 - 2023

MCQ (Single Correct Answer)

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If a line makes angles of $$90^{\circ}, 135^{\circ}$$ and $$45^{\circ}$$ with the $$x, y$$ and $$z$$ axes respectively, then its direction cosines are:

$$0,-\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}$$

$$-\frac{1}{\sqrt{2}}, 0, \frac{1}{\sqrt{2}}$$

$$\frac{1}{\sqrt{2}}, 0,-\frac{1}{\sqrt{2}}$$

$$0, \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}$$

CBSE 12th Mathematics Delhi Set 1 - 2023

MCQ (Single Correct Answer)

-0

The angle between the lines $$2 x=3 y=-z$$ and $$6 x=-y=-4 z$$ is:

$$0^{\circ}$$

$$30^{\circ}$$

$$45^{\circ}$$

$$90^{\circ}$$