SarkariPYQ

SSC CGL 2025 PYQ — Question 57

SSC CGL - 25 Sep 2025 - Shift 2 • Quantitative Aptitude • Q57

Back to paper

In ΔABC, an altitude AD is drawn from point A to side BC. Given the coordinates A(1, 5), B(2, 1), and C(6, 3), what is the slope of the line representing altitude AD?

Show answer & explanation

Correct answer: B

Explanation

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

Points B(2,1) and C(6,3): mBC=3−16−2=24=12m_{BC} = \frac{3 - 1}{6 - 2} = \frac{2}{4} = \frac12

Altitude AD is perpendicular to BC.

If two lines are perpendicular, then the product of their slopes = –1

Slope of AD = –1/(1/2) = –2