If a + b+ c = 0 and p № 0, the line ax + (b + c) y = p ,bx +... | MATH - FOOT OF PERPENDICULAR, TRANSFORMATION, PEDAL | SolveeIt | Solveeit

Today, August 18

Question

If a + b+ c = 0 and p № 0, the line ax + (b + c) y = p ,bx + (c + a) y = p and cx + (a + b) y = p

A

Do not intersect

B

Intersect

C

Are concurrent

D

None of these

Answer

Do not intersect

Explanation

Solution

By the help of given condition of a + b + c = 0, the three lines **Sol.**reduce to x – y = $\frac{p}{a}$ or $\frac{p}{b}$ or $\frac{p}{c}$ , (p № 0).

So, all these lines are parallel.

Hence, they do not intersect in finite plane.