Find the values of k so the line  and  are parallel.

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Navik GD Mathematics 20 March 2021 (All Shifts) Questions
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  1. -2
  2. 2
  3. 1/2
  4. 4

Answer (Detailed Solution Below)

Option 2 : 2
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Detailed Solution

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Concept:

Let two lines having direction ratios a1, b1, c1, and a2, b2, c2 respectively.

Condition for perpendicular lines: a1a2 + b1b2 + c1c2 = 0

Condition for parallel lines: 

 

Calculation:

Given lines are  and 

The direction ratio of the first line is (2k, 3, -1) and the direction ratio of second line is (8, 6, -2)

Lines are parallel;

So, 

⇒ 

∴ k = 2

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