The pair of lines represented by the linear equations 3x + 2y = 7 and 4x + 8x - 11 = 0 are
The pair of lines represented by the linear equations 3x + 2y = 7 and 4x + 8x - 11 = 0 are
(a) perpendicular
(b) parallel
(c) intersecting
(d) coincident
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Correct answer is (c) intersecting
The equations are : -
3x + 2y = 7
4x + 8y = 11
Here,
a1 = 3
b1 = 2
c1 = 7
and
a2 = 4
b2 = 8
c2 = 11
Now, As we can see
\(\frac{a_1}{a_2} \neq \frac{b_1}{b_2}\)
\(\frac{3}{4} \neq \frac{2}{8}\)
Therefore, the given system has a unique solutions.
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