CUET PG 2023 — Mathematics PYQ

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Question

CUET PG 2023 — Mathematics PYQ

CUET PG | Mathematics | 2023

A straight line has equation 𝑦=−𝑥+6 which of the following line is parallel to it?

Choose the correct answer:

Explanation

Step 1: Identify the slope of the given line

The equation of the given line is $y = -x + 6$ , which is in the slope-intercept form $y = mx + b$ . The slope ( $m$ ) of this line is $-1$ .

Step 2: Understand the condition for parallel lines

For two lines to be parallel, they must have the same slope.

Step 3: Identify the parallel line from typical options

A line with an equation like $y = -x + c$ (where $c$ is any constant other than $6$ ) would be parallel. Common examples from search results include:

$y = -x - 2$
$y = 8 - x$ (which is $y = -x + 8$ )
$y = -x$
$-3x - 3y + 7 = 0$ (which rearranges to $y = -x + \frac{7}{3}$ )