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 slope, then |M1+√2M2| is equal to (where M1>M2)

If two lines perpendicular to each other always satisfy the condition

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 slope, 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 slope, then $\| M_{1} + \sqrt{2} M_{2} \|$ is equal to (where $M_{1} > M_{2}$ )