Question
Download Solution PDFFind the value of k so that the lines
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
If the angle between the lines
a1 ⋅ a2 + b1 ⋅ b2 + c1 ⋅ c2 = 0
Calculation:
Given: Equation of two lines is
The given equation can be re-written as:
The direction ratios of the given lines are:
⇒ a1 = - 3, b1 = 2k/7, c1 = 2, a2 = - 3k/7, b2 = - 1 and c2 = - 5
∵ The given lines are perpendicular to each to each other
As we know that if two lines are perpendicular to each to each other then a1 ⋅ a2 + b1 ⋅ b2 + c1 ⋅ c2 = 0
⇒
⇒ k = 10
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