Exams › SSC CGL (Prelims) › General

In triangle ABC, 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?

1. 2
2. -2
3. -1/2
4. 1/2

Correct answer: -2

Solution

The slope of BC is \((3-1)/(6-2)=2/4=1/2\). Since AD is an altitude, it is perpendicular to BC, so its slope is the negative reciprocal of \(1/2\), which is \(-2\).

Related SSC CGL (Prelims) General questions

• What is the equation of a line passing through \((0,4)\) with slope \(-2\)?
• What is the slope of the line perpendicular to $y = 5x - 8$?
• Which line has slope \(-2\) and passes through \((3,5)\)?
• A line \(L\) is the perpendicular bisector of the line segment joining points \(P(4,6)\) and \(Q(10,2)\). What is the y-intercept of line \(L\)?
• Find the slope of the line $4x - 5y = 10$.
• Find the equation of the perpendicular bisector of the line segment joining the points $(1,5)$ and $(5,9)$.

⚔️ Practice SSC CGL (Prelims) General free + battle 1v1 →