If the lines 2x – by + 5 = 0 and ax + 3y = 2 are parallel, find the relation connecting a and b.
Straight Line Eq
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Question

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

KnowledgeBoat · Accepted Answer

Converting 2x - by + 5 = 0 in the form y = mx + c we get, ⇒ 2x - by + 5 = 0 ⇒ by = 2x + 5 ⇒ y = m1 = Converting ax + 3y = 2 in the form y = mx + c we get, ⇒ ax + 3y = 2 ⇒ 3y = -ax + 2 ⇒ y = m2 = Given, two lines are parallel so their slopes will be equal, m1 = m2 ⇒ ⇒ 3 × 2 = −a × b ⇒ 6 = −ab ⇒ ab + 6 = 0 ⇒ ab = −6. Hence, the relation connecting a and b is ab = -6.

Mathematics

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

Straight Line Eq

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