10. Let Py = 4ax, a > 0 be a parabola with focus S. Let the tangents to the parabola P make an angle of 4 with the line y = 3x + 5 touch the parabola P at A and B. Then the value of a for which A, B and S are collinear is (a) 8 only (b) 2 only (c) 1 only (d) any a > 0 11. Let a triangle ABC be inscribed in the circle x-2(x+y) + y=0 such that BAC= length of side AB is 2, then the area of the AABC is equal to: (a) (2+6)/3 x-2_y+1_z+3 12. Let 3 -2 -1 (b) (6+3)/2 (c) (3+3)14 If the (d) (6+23)/4 lie on the plane px - qy + z = 5, for some p,q=R. The shortest distance of the plane form the origin is: (a) 3 109 5 (b) 142 5 (c) 71 1 (d) 142 13. The distance of the origin from the centroid of the triangle whose two sides have the equations x-2y+1=0 and 2x-y-1 = 0 and whose orthocenter is 7 7 -0 and w is: 3 3 (a)2 (b) 2 (c) 22 (d) 4 14. Let Q be the mirror image of the point P(1, 2, 1) with respect to the plane x + 2y +2z = 16. Let T be a plane passing through the point Q and contains the line =k+(+j+2k),=R. Then, which of the following points lies on T? (a) (2, 1, 0) (b) (1, 2, 1) (c) (1, 2, 2) (d) (1, 3, 2)