CUET Mathematics - If the lengths of the three sides of a trapezium other than the base are 10 ~cm each, then the maximum area of the trapezium is: | PYQs + Solutions

CUET Mathematics

Geometry

Medium

applied

$100 \mathrm{~cm}^{2}$

$25 \sqrt{3} \mathrm{~cm}^{2}$

$75 \sqrt{3} \mathrm{~cm}^{2}$

$100 \sqrt{3} \mathrm{~cm}^{2}$

✅ Correct Option: 3

Related questions:

14 May Shift 1

Consider the line $\vec{r} = \hat{i} - 2\hat{j} + 4\hat{k} + \lambda(-\hat{i} + 2\hat{j} - 4\hat{k})$

Match List-I with List-II

List-I	List-II
(A) A point on the given line	(I) $\left(\frac{-1}{\sqrt{21}}, \frac{2}{\sqrt{21}}, \frac{-4}{\sqrt{21}}\right)$
(B) direction ratios of the line	(II) $(4, -2, -2)$
(C) direction cosines of the line	(III) $(1, -2, 4)$
(D) direction ratios of a line perpendicular to given line	(IV) $(-1, 2, -4)$

Choose the correct answer from the options given below:

15 May Shift 2

If the lines $\frac{x-5}{7} = \frac{y+2}{-5} = \frac{z}{\lambda}$ and $\frac{x}{1} = \frac{y}{2\lambda} = \frac{z}{3}$ are perpendicular to each other, then $\lambda$ is equal to

15 May Shift 2

Consider the equation of the line $\vec{r} = -\hat{i} + 2\hat{k} + \mu(4\hat{i} - \hat{j} + 2\hat{k})$ .

Match List-I with List-II

List-I	List-II
(A) It passes through the point	(I) 4, -1, 2
(B) Its direction ratios are	(II) $\frac{4}{\sqrt{21}}, \frac{-1}{\sqrt{21}}, \frac{2}{\sqrt{21}}$
(C) Its Cartesian form is	(III) (-1, 0, 2)
(D) Its direction cosines are	(IV) $\frac{x+1}{4} = \frac{y}{-1} = \frac{z-2}{2}$

Choose the correct answer from the options given below:

CUET Mathematics PYQs

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