SSC CHSL 2024 PYQ — Question 75

SSC CHSL - 03 July 2024 - Shift 1 • Quantitative Aptitude • Q75

The length of the portion of the straight line 5x + 12y = 60 intercepted between the axes is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 13.

We know,

Intercept form of the straight line equation: x/a + y/b = 1

Distance between the intercepts = √(a2 + b2)

Where a and b are x and y intercepts

According to the question;

5x + 12y = 60

To convert the above equation into intercept form, divide the equation by 60.

⇒ x/12 + y/5 = 1

We have,

⇒ x intercept = a = 12

⇒ y intercept = b = 5

Now,

Distance between the intercept = length = √(122 + 52) = 13 cm