COMEDK · Maths · 10. Straight Lines
If the line \((3 x+14 y+7)+k(5 x+7 y+6)=0\) is perpendicular to \(x\)-axis then the value of ' \(k\) ' is
- A \(-2\)
- B \(-\dfrac{3}{5}\)
- C \(\dfrac{1}{3}\)
- D \(2\)
Answer & Solution
Correct Answer
(A) \(-2\)
Step-by-step Solution
Detailed explanation
The given equation of the line is \((3x + 14y + 7) + k(5x + 7y + 6) = 0\). Rearranging the terms to group \(x\) and \(y\) coefficients: \((3 + 5k)x + (14 + 7k)y + (7 + 6k) = 0\). A line is perpendicular to the \(x\)-axis if it is a vertical line, which means the coefficient of…
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