Which among the following is true for the curve rn = a sin⁡nθ?

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answerhappygod
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Which among the following is true for the curve rn = a sin⁡nθ?

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a) Given family of curve is Self orthogonal
b) Orthogonal trajectory is rn=k cos⁡nθ where k is an constant
c) Orthogonal trajectory is rn=k cosec⁡nθ where k is an constant
d) Orthogonal trajectory is rn=k sin⁡nθ where k is an constant
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