M.L Aggarwal book Important Question of class 10 chapter Based on Equation of a Straight Line for ICSE BOARD.
You have to find the value of a for which parallel lines are given in this question.
This is the Question Number 04, Exercise 12.2 of M.L Aggarwal.
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Given that the line y/2 = x – p and the line ax + 5 = 3y are parallel, find the value of a.
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Given,
Line equation: y/2 = x – p
⇒ y = 2x – 2p
Here, the slope of the line is 2.
And, another line equation: ax + 5 = 3y
⇒ 3y = ax + 5
y = (a/3) x + 5/3
Hence, the slope of the line is a/3
As the line are parallel, their slopes must be equal
⇒ 2 = a/3
a = 6
Thus, the value of a is 6.