The value of a depreciable asset at the… - CUET UG 2025 Mathematics PYQ

CUET UG 2025 — Mathematics Statistics & Applications

2025mcqeasy

The value of a depreciable asset at the end of its useful life is called ____.

Official previous-year question

Held on 19 May 2025 · Verified 13 Jul 2026.

Options

A
Nominal Value
B
Book value
C
Marginal value
D
Scrap value

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Solution

Standard symmetric form of a line:
$\frac{x - x_1}{a} = \frac{y - y_1}{b} = \frac{z - z_1}{c}$

The given equations are:
$\frac{-x + 1}{3} = \frac{-y - 2}{-2k} = \frac{z + 3}{2}$
and
$\frac{-1 + x}{3k} = \frac{-1 + y}{1} = \frac{-z + 6}{5}$

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

The direction vector for the first line is:
$\vec{d_1} = \langle -3, 2k, 2 \rangle$

$\frac{x - 1}{3k} = \frac{y - 1}{1} = \frac{z - 6}{-5}$

The direction vector for the second line is:
$\vec{d_2} = \langle 3k, 1, -5 \rangle$

$\vec{d_1} \cdot \vec{d_2} = 0$

$(-3)(3k) + (2k)(1) + (2)(-5) = 0$

$-9k + 2k - 10 = 0$

$-7k - 10 = 0$

$-7k = 10$

$k = -\frac{10}{7}$

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