If point (x, y) is equidistant from the

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If point (x, y) is equidistant from the points (7, 1) and (3, 5), then which one of the following options is correct?

Options:

$x-y=2$

$x+y=2$

$x-y=1$

$x-y=-2$

Correct Answer:

$x-y=2$

Explanation:

We know that,

Distance formula = √((x−7)²+(y−1)²)

= √((x−3)²+(y−5)2)

⇒−14x + 49 − 2y + 1= −6x +9 − 10y + 25

⇒ 8x − 8y = 16

⇒ x−y = 2