if a line joining two points (3,0)and(5,2) is rotated about the point (3,0) in counter clockwise direction through an angle 15degree than find the equation the line in the new position
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Answer:
(4−
3
,
3
+1)
M
AB
=
2
2
=1
AB=AC=AD
=
(5−3)
2
+(2−0)
2
=
4+4
=
8
=2
2
Let C(3+rcosθ,0+rsinθ)
r=2
2
;θ=60
∘
⇒C=(3+2
2
(
2
1
),0+2
2
(
2
3
))
=(3+
2
,
6
)
D(3+rcosθ,0+rsinθ);r=2
2
;θ=105
∘
D=(3+2
2
cos105,2
2
sin105)
=(3−2
2
sin15,2
2
cos15)
=(3−
2
2
2
2
(
3
−1)
,2
2
2
2
3
+1
)
∴D=(4−
3
,
3
+1)
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