This question is Based on Equation of a Straight Line Chapter of M.L Aggarwal book for ICSE BOARD for class 10.
Here the given lines are perpendicular to each other , So find the value of p.
This is the Question Number 05, Exercise 12.2 of M.L Aggarwal.
Deepak BoraNewbie
If the lines y = 3x + 7 and 2y + px = 3 perpendicular to each other, find the value of p.
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If two lines are perpendicular, then the product of their slopes is -1
Now, slope of the line y = 3x + 7 is m1 = 3
And,
The slope of the line: 2y + px = 3
2y = -px + 3
y = (-p/2) x + 3
m2 = -p/2
As the lines as perpendicular,
⇒ m1 x m2 = -1
3 x (-p/2) = -1
p = 2/3
Thus, the value of p is 2/3.