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Centroid of a Triangle

if A(cos alph...

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if A(cos alpha, sin alpha) , B(sin alpha, - cos alpha) and C (2,1) are vertices of a triangle. then the locus of its centroid if alpha varies is:

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A (cos α, sin α), B (sin α, - cos α), C (1, 2)

are the vertices of

Δ A B C

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varies, the locus of its centroid is

A (cos α, sin α), B (sin α, - cos α), C (1, 2)

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Q. Find the radius of the circle

(x cos α + y sin α - a)^{2} + (x sin α - y cos α - b)^{2} = k^{2}

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a {cos}^{3} α + 3 a cos α {sin}^{2} α = m

a {sin}^{3} α + 3 a {cos}^{2} α sin α = n

(m + n)^{\frac{2}{3}} + (m - n)^{\frac{2}{3}} =

a c o s^{3} α + 3 a c o s α s i n^{2} α = m

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(m + n)^{2 / 3} + (m - n)^{2 / 3}

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Centroid of a Triangle

Standard XII Mathematics

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