For the pair of linear equations given below, draw graphs and then state, whether the lines drawn are
$y = 3 x - 1$
$y = 3 x + 2$

Perpendicular to each other.

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Parallel to each other.

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Intersect each other but not at right angles.

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Options A and C

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Solution

The correct option is B Parallel to each other.
$T h e g i v e n e q u a t i o n s a r e y = 3 x - 1........ (i) a n d y = 3 x + 2....... (i i) .$

$H e r e x i s t h e i n d e p e n d e n t v a r i a b l e .$

$L e t u s a s s i g n a t l e a s t 3 v a l u e s f o r x a n d o b t a i n t h e c o r r e s p o n d i n g v a l u e s o f y i n e a c h e q u a t i o n .$

$(i) x = - 5 ⟶ y = - 16 x = 5 ⟶ y = 14 x = 7 ⟶ y = 20. (i i) x = - 5 ⟶ y = - 13 x = 1 ⟶ y = 5 x = 3 ⟶ y = 11.$

$N o w w e p l o t t h e p o i n t s f o r e a c h e q u a t i o n . F r o m t h e g r a p h w e c o n c l u d e t h a t t h e l i n e s a r e p a r a l l e l .$

$A n s - O p t i o n B .$

Suggest Corrections

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