Total marks: 20
Lecture # 23 to 30
Due date: July 17, 2014
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For assignment check previous Assignment solution would be helpful !!
Answer of second question
=-3/4i+j
check my solution guide me if m wrong
(i) Symmetry about the Initial Line
If the equation of a curve remains unchanged when (r,θ)
is replaced by either (r,-θ) in its equation ,then the curve
is symmetric about initial line.
(ii) Symmetry about the y-axis
If when (r, θ) is replaced by either (r,π θ − ) in
The equation of a curve and an equivalent equation
is obtained ,then the curve is symmetric about the
line perpendicular to the initial i.e, the y-axis
(ii) Symmetry about the Pole
If the equation of a curve remains unchanged
when either (-r, θ) or is substituted for (r, θ)
in its equation ,then the curve is symmetric
about the pole. In such a case ,the center of
the curve.
A curve is symmetric about initial line if we replace (r,θ) by (r, -θ) or (-r, π -θ) and its equation remains unchanged.
but in this case when we put (r, -θ), equation changes. As sin(-θ)= -sin θ but when we put (-r, π -θ) the Equation remains unchanged. As sin(π -θ)= sin θ. Both results should be same but they aren't. Can anybody help?
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