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Normals at P, Q, R are drawn to `y^(2)=4x` which intersect at (3, 0). Then, are of `DeltaPQR`, isA. `(2//3,0)`B. `(2//5,0)`C. `(5//2,0)`D. none of these |
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Answer» Correct Answer - A From example 86, we obtain that the coordinates of P, Q and R are (0, 0), (1, 2), and (1, -2). `:." Coordinates of the centriod of "DeltaPQR" are "(23, 0)` ALITER The centriod of triangle formed by the feet of normal (Co-normal) drawn from a point (h, k) to the parabola `y^(2)=4ax` has the coordinates `(2/3(h, -2a), 0)`. In this case, we have h = 3, k=0 and a=1. So, coordinates of the centroid are (2/3, 0). |
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