Question

4. Find the value of „K‟ for which the pair of equations 2x-ky+3=0, 4x+6y-5=0

represent parallel lines?

Answer 1

For parallel lines,

A1/A2 = B1/B2 = C1/C2

2/4 = - k/6 = - 3/5

Cross multiplying,

2/4 = - k/6

12 = - 4k

k = - 12/4 = - 3

Cross multiplying,

-k/6 = - 3/5

k = 18 / 5

$\fbox{k\:=\:-3\: or\:18/5}$

Answer 2

answer of questions (2):-

Parallel lines are two or more lines that never intersect. ... When you see lines or structures that seem to run in the same direction, never cross one another, and are always the same distance apart, there's a good chance that they are parallel.

answer of questions (1) here,

Given pair of linear equations are 2x - ky + 3 = 0 ; 4x + 6y - 5 = 0 Since the given equations is consistent, we

have Hence k is a real number except 3.

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