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GATE 2026 BT – Question 52

Engineering Mathematics · Calculus: Limits, continuity, differentiability, partial derivatives, maxima and minima · 2 marks · Numerical answer

If the straight lines given by the following two equations are parallel to each other, the value of $a$ is _____. (answer in integer)

$4x + 7y = 6$; $\quad 3ax + 42y = 24$

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Correct answer: 8

Explanation

Two lines are parallel when their slopes are equal: $-\frac{4}{7} = -\frac{3a}{42}$, so $3a = 24$ and $a = 8$.