Questions
The slope of a line is times the slope of the other line and the tangent of the angle between them is , sum of their slopes is equal to
a
2
b
4
c
6
d
8
detailed solution
Correct option is D
Let the slopes of the given lines be m and 3 m. if θ is the angle between them then tanθ=|3m−m|1+(3m)(m)=413⇒ ±2m×13=41+3m2⇒ 6m2±13m+2=0⇒ m=16 or 2 and m=−16 or −2.For m=2, the sum of the slopes is 4m=8Talk to our academic expert!
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Angles made with the x - axis by two lines drawn through the point (1, 2) and cutting the line x + y = 4 at a distance from the point (1,2) are
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