CircleHard
Question
For parabola y2 = 4ax consider three points A, B, C lying on it. If the centroid of ᐃABC is (h1, k1) & centroid of triangle formed by the point of intersection of tangents at A, B, C has coordinates (h2, k2), then which of the following is always true -
Options
A.2k1 = k2
B.k1 = k2
C.k12 = 
(h1 + 2h2)
(h1 + 2h2)D.k12 = (2h1 + h2)
(2h1 + h2)More Circle Questions
If the line 3x - 4y - k = 0 (k > 0) touches the circle x2 + y2 - 4x - 8y - 5 = 0 at (a, b) then k + a + b is equal to...The equation of the chord of the circle x2 + y2 − 6x + 8y = 0 which is bisected at the point (5, −3) is-...The equation of a circle which passes through the three points (3, 0) (1, -6), (4, -1) is -...If the product of the perpendicular distances from any point on the hyperbola = 1 of eccentricity e = √3 on its as...The centres of the circles x2 + y2 _ 6x _ 8y _ 7 = 0 and x2 + y2 _ 4x _ 10y _ 3 = 0 are the ends of the diameter of the ...