Q. 35.0( 2 Votes )
If the centroid of a triangle formed by the points (0, 0), (cos θ, sin θ) and (sinθ, - cosθ) lies on the line y = 2x, then write the value of tanθ.
The points (0, 0), (cos θ, sin θ) and (sinθ, - cosθ) lies on the line y = 2x
The value of tanθ.
The centroid of a triangle with vertices (x1,y1), (x2, y2) and (x3, y3)is given below:
Therefore, the centre of the triangle having vertices (0, 0,), (cos θ, sin θ) and (sin θ, − cos θ) is
This point lies on the line y = 2x.
⇒ sinθ – cosθ = 2cosθ + 2sinθ
⇒ tanθ = -3
∴ tanθ = − 3
Hence, tanθ = − 3
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