CUET UG 2025 — General Test Geometry

2025mcqeasy

The distance between points A (-5, 7) and B (-1, 3) is:

Official previous-year question

Held on 13 May 2025 · Verified 13 Jul 2026.

Options

A
4 units
B
6 units
C
$4\sqrt{2}$ units
D
7 units

Did you get this right?

Solution

The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is:

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Point A: $(x_1, y_1) = (-5, 7)$

Point B: $(x_2, y_2) = (-1, 3)$

$d = \sqrt{(-1 - (-5))^2 + (3 - 7)^2}$

$d = \sqrt{(4)^2 + (-4)^2}$

$d = \sqrt{16 + 16}$

$d = \sqrt{32}$

$32 = 16 \times 2$

$\sqrt{32} = \sqrt{16 \times 2}$

$\sqrt{32} = \sqrt{16} \times \sqrt{2}$

$\sqrt{32} = 4\sqrt{2}$

Therefore, the distance between points A and B is $4\sqrt{2}$ units.

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CUET UG 2025 — General Test Geometry

2025mcqeasy

The distance between points A (-5, 7) and B (-1, 3) is:

Official previous-year question

Held on 13 May 2025 · Verified 13 Jul 2026.

Options

A
4 units
B
6 units
C
$4\sqrt{2}$ units
D
7 units

Did you get this right?

Solution

The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is:

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Point A: $(x_1, y_1) = (-5, 7)$

Point B: $(x_2, y_2) = (-1, 3)$

$d = \sqrt{(-1 - (-5))^2 + (3 - 7)^2}$

$d = \sqrt{(4)^2 + (-4)^2}$

$d = \sqrt{16 + 16}$

$d = \sqrt{32}$

$32 = 16 \times 2$

$\sqrt{32} = \sqrt{16 \times 2}$

$\sqrt{32} = \sqrt{16} \times \sqrt{2}$

$\sqrt{32} = 4\sqrt{2}$

Therefore, the distance between points A and B is $4\sqrt{2}$ units.

Your note

CUET UG Geometry in other years

Geometry 2024 Geometry 2023 Geometry 2022

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Work through every CUET UG Geometry PYQ, year by year.

Browse all General Test topics

CUET UG 2025 — General Test Geometry

Options

Did you get this right?

Solution

Your note

CUET UG Geometry in other years

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General Knowledge

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CUET UG 2025 — General Test Geometry

Options

Did you get this right?

Solution

Your note

CUET UG Geometry in other years

More CUET UG Geometry questions

Other General Test topics for CUET UG

General Knowledge

Logical Reasoning

Arithmetic

Quantitative Reasoning

Current Affairs

Keep practicing Geometry