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Question: The point of intersection of the lines \(\frac{x}{a}\) + \(\frac{y}{b}\) = 1 and \(\frac{x}{b}\) +\...

The point of intersection of the lines xa\frac{x}{a} + yb\frac{y}{b} = 1 and

xb\frac{x}{b} +ya\frac{y}{a}= 1 lies on the line –

A

x – y = 0

B

(x + y) (a + b) = 2ab

C

(lx + my) (a + b) = (l + m)ab

D

All of these

Answer

All of these

Explanation

Solution

xa+yb=1\frac{x}{a} + \frac{y}{b} = 1.......(i); xb+ya=1\frac{x}{b} + \frac{y}{a} = 1..........(ii)

Solve (i) & (ii) Ž To find the coordinates of the point of intersection. & check by option.