Find the value of k for which the lines kx + 2y + 3 = 0 and 8x + ky – 1 = 0 are parallel.
Straight Line Eq
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Question

Find the value of k for which the lines kx + 2y + 3 = 0 and 8x + ky – 1 = 0 are parallel.

KnowledgeBoat · Accepted Answer

Since, the lines are parallel they have same gradient. Given, kx + 2y + 3 = 0 Converting kx + 2y + 3 = 0 in the form y = mx + c, we get : ⇒ 2y = -kx - 3 ⇒ y = The equation of straight line is given by, y = mx + c, where m is the slope and c is the y-intercept. Comparing y = mx + c with y = , we get : ⇒ m1 = Given, 8x + ky - 1 = 0 Converting 8x + ky - 1 = 0 in the form y = mx + c we get, ⇒ ky = -8x + 1 ⇒ y = Comparing y = mx + c with y = , we get : ⇒ m2 = Since, lines are parallel, equating the gradients : Hence, value of k = 4.

Mathematics

Find the value of k for which the lines kx + 2y + 3 = 0 and 8x + ky – 1 = 0 are parallel.

Straight Line Eq

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