Question

fund the value of p if the lines
given by 2x-y+5 and px+3y=4 are perpendicular

Answer 1

Slope of line (2)=2

Then, (2) can rewritten as

3y=−px+4

y=(−p/3)+4/3

So, the slope of this line =−p/3

For 2 lines to be perpendicular to each other, the product of their slopes must be −1.

So,

(2)×(−p/3)=−1

2p/3=1

p=3/2