Draw teo points A(3,2)and B(6,4).Join AB. Rotate AB ( clockwise) about the origin through 180° to the position A'B'.Find the coordinates of A' abd B'
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Step-by-step explanation:
(c) Slope of line AB=
2−3
0−1
=1=tan45
0
∴∠BAX=45
0
Given ∠CAB=15
0
∴∠CAX=60
0
∴ Slope of line AC=tan60
0
=√3
Now line AC makes an angle of 60
0
with positive direction ofx-axis and
AC=AB=
(3−2)
2
+(1−0)
2
=
2
∴ Co-ordinates of C are (2+
2
cos60
0
,0+
2
sin60
0
)
i.e.,(2+
2
1
,
2
3
)
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