If two lines perpendicular to each other always satisfy the condition – InterviewSolution

InterviewSolution

1.	If two lines perpendicular to each other always satisfy the condition cotθ1+cotθ2=2, where θ1 and θ2 are the angles made by the lines with positive direction of X−axis and M1, M2 be the respective slopes, then ∣∣M1+√2M2∣∣ is equal to (where M1>M2)
Answer» If two lines perpendicular to each other always satisfy the condition $cot θ_{1} + cot θ_{2} = 2,$ where $θ_{1}$ and $θ_{2}$ are the angles made by the lines with positive direction of $X -$ axis and $M_{1},$ $M_{2}$ be the respective slopes, then $∣ ∣ M_{1} + \sqrt{2} M_{2} ∣ ∣$ is equal to (where $M_{1} > M_{2}$ )

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