If the lines (9x+2y=18) and (27x+my=55) are distinct parallel lines, what will be the value of (m)?

Question

Answer and explanation

Correct answer: (6)

For parallel lines, (\frac{9}{27}=\frac{2}{m}), so (m=6). Since (\frac{18}{55}\neq\frac{1}{3}), the lines are not coincident.

What is the correct answer to this question?

(6)

Why is this the correct answer?

For parallel lines, (\frac{9}{27}=\frac{2}{m}), so (m=6). Since (\frac{18}{55}\neq\frac{1}{3}), the lines are not coincident.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Graphical method of finding solutions..