SSC CHSL 2024 PYQ — Question 63

SSC CHSL - 05 July 2024 - Shift 3 • Quantitative Aptitude • Q63

The perpendicular length from the origin to the line 6x + 8y - 48 = 0 is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 4.8 unit.

Perpendicular distance from a point (x1, y1) to a line Ax + By + C = 0 =∣Ax1+By1+C∣A2+B2=\frac{|Ax_1+By_1+C|}{\sqrt{A^2+B^2}}

Here, x1 = 0, y1 = 0 and A = 6, B = 8, C = -48

Distance =∣6×0+8×0−48∣62+82=\frac{|6\times 0+8\times 0-48|}{\sqrt{6^2+8^2}}

=∣−48∣36+64=\frac{|-48|}{\sqrt{36+64}}

=48100=\frac{48}{\sqrt{100}}

= 48/10

= 4.8