) Find the value of k so that 5x + ky = 20 makes an angle of 60° with x-axis.
1 answer:
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
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