I want solution 6×(5×2)=(615)×
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What angle does the line segment joining (5,2) and (6,−15) subtend at (0,0)?
A
6
π
B
4
π
C
2
π
D
4
3π
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Correct option is C)
Given 2 points are (5,2),(6,−15)
Slope of the line joining first point to the origin is m
1
=
5−0
2−0
=
5
2
Slope of the line joining second point to the origin is m
2
=
6−0
−15−0
=
2
−5
Let the angle subtended by these two points at (0,0) is θ
∴tanθ=
1+m
1
m
2
m
1
−m
2
=
1+(
5
2
×−
2
5
)
5
2
−(−
2
5
)
=
(0)
(
10
29
)
=∞
∴θ=tan
−1
∞=90
o
=
2
π
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