Q. 1

The graphic representation of the equations x + 2y = 3 and 2x + 4y + 7 = 0 gives a pair ofA. parallel linesB. intersecting linesC. coincident linesD. none of these

Given: Two equations, x + 2y = 3

x + 2y 3 = 0 - - - - (1)

2x + 4y + 7 = 0 - - - - (2)

We know that the general form for a pair of linear equations in 2 variables x and y is a1x + b1y + c1 = 0

and a2x + b2y + c2 = 0.

Comparing with above equations,

we have a1 = 1, b1 = 2, c1 = - 3; a2 = 2, b2 = 4, c2 = 7

Since

Both lines are parallel to each other.

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