Find the acute angle between two straight lines passing through the point M( − 6, − 8) and the points in which the line segment 2x + y + 10 = 0 enclosed between the co − ordinate axes is divided in the ratio 1 : 2 : 2 in the direction from the point of its intersection with the x − axis to the point of intersection with the y − axis.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(π /4)
Sol. ∴ P ≡ (– 4, – 2) and Q ≡ (– 2, – 6)
∴ Let slopes of PM and QM be m 1 and m 2 respectively.
∴ m 1 = 3 and m 2 = 
.
Let ‘ θ ’ be the acute angle between PM and QM
∴ tan θ = 
⇒ tan θ = 1 ⇒ θ = 
.
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