Question

lines 2x-by+5=0and ax+3y=2are parallel find the relation connecting a and b

Answer 1

Hello friend

Good morning

Your answer is given below :

Given that

2x + by + 5 = 0 and ax + 3y - 2 = 0 are parallel

We know that in case of parallel lines

$= > \frac{a1}{a2} = \frac{b1}{b2} \: \: is \: not \: equal \: to \: \: \frac{c1}{c2} \\ \\ = > \frac{2}{a} = \frac{ - b}{3} \\ \\ = > 6 = - ab \\ \\ = > ab = 6$


I hope it will help you a lot

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Answer 2

Heya !!!

2X - BY + 5 = 0 ---------(1)

And,

AX + 3Y = 2

AX + 3Y -2 = 0 --------(2)

These equations are of the form of A1X+B1Y + C1 = 0 and A2X + B2Y + C2 = 0

Where,

A1 = 2 , B1 = -B and C1 = 5

A2 = A , B2 = 3 and C2 = -2

It is given that the lines are parallel. It means

A1/A2 = B1/B2 # C1/C2 [ Where # stand for not equal ]

2/ A = -B/ 3 # 5/-2

-BA = 6



AB = -6




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