Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Co-ordinate Geometry

Question:

The equation of the line which makes equal intercepts on the axis and passes through the point (2, 5) shall be:

Options:

$2X+2Y = 7$

$2X+Y = 7$

$X+2Y = 7$

$X+Y = 7$

Correct Answer:

$X+Y = 7$

Explanation:

The correct answer is Option (4) → $X+Y = 7$

A line that makes equal intercepts on both axes has the form:

$\frac{x}{a} + \frac{y}{a} = 1 \quad \Rightarrow \quad x + y = a$

Since the line passes through the point (2, 5):

$2 + 5 = 7$

So, the equation of the line is:

$x + y = 7$