Consider the hyperbola H : x2 y2 = 1 and a circle S with center N(x2, 0). Suppose that H and S touch each other at a point P(x1, y1) with x1 > 1 and y1 > 0. The common tangent to H and S at P intersects the x-axis at point M. If (l, m) is the centroid of the triangle PMN, then the correct expression(s) is(are) 1 (B)  12113 1dm xdx x for x1 > 1(C) 21 1113 dldx x for x1 > 1 (D) 113dmdy for y1 > 0 >

Suvraneel Bhuin , 9 Years ago

Grade 12