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The number of integral values of m, for which the x-coordinate of the point of intersection of the line \( \Large 3x+4y=9\ and\ y=mx+1 \) is also an integer is:

A) 2
B) 0
C) 4
D) 1

Correct Answer:

A) 2

Description for Correct answer:

Solving \( \Large 3x+4y=9\ and\ y=mx+1 \), we get

\( \Large x=\frac{5}{3+4m} \)

x is an integer

\( \Large 3+4m=1,\ -1,\ 5, -5 \)

=> \( \Large m=\frac{-2}{4},\ \frac{-4}{4},\ \frac{2}{4},\ \frac{-8}{4} \) so, m has two intergral values.

Part of solved Straight lines questions and answers : >> Elementary Mathematics >> Straight lines

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