SSC CHSL 2024 PYQ — Question 55

The correct answer is option 1 i.e. 10 units.

6x + 8y − 48 = 0

⇒ 6x + 8y = 48

The shortest distance between the x-axis and the y-axis, we need to rewrite the equation in the Distance form, which is:

⇒ x/a + y/b = 1

⇒ 6x/48 + 8y/48 = 1

⇒ x/8 + y/6 = 1

the shortest distance = $\sqrt{a^2 + b^2}$ 

⇒ $\sqrt{8^2 + 6^2}$ = $\sqrt{64 + 36}$  = $\sqrt{100} = 10$ units