Question

) Find the value of k so that 5x + ky = 20 makes an angle of 60° with x-axis.
Find the value of k so that 4x + ky = 15 makes an angle of 60° with y-axis.​

Answer 1

Answer:

k = - 5/√3 = - (5√3)/3

Step-by-step explanation:

5x + ky = 20

y = (- 5/k) * x + (20/k)

Line equation: y = mx + b     m: slope   m = - 5/k

60° with x-axis (suppose it's positive x axis): slope m = tan 60° = √3

- 5/k = √3

k = - 5/√3 = - (5√3)/3