8- Question Report (8)

Target : JEE (Main + Advanced) 2017/05-03-2017/Paper-2 87. Let P be the parabola in the plane 87. P,   y = x2   determined by the equation y = x2. Suppose CP a circle C in the plane intersects P at four distinct points. If three of these points are          (17,289), (–2,4), (13,169), then sum of the (17,289), (–2,4), (13,169)  perpendicular distances from the directrix   P      of P to all four of the intersection points is- - (1) 1177 (2) 1247 (1) 1177 (2) 1247 (3) 1369 (4) 1421 (3) 1369 (4) 1421 88. Consider P(1,2,–3), Q(–2,1,–4), R(3,4,–2) and 88. P(1,2,–3), Q(–2,1,–4), R(3,4,–2)    B  A x ˆi  A y ˆj  A z kˆ . If Ax, Ay and Az be B  A x iˆ  A y ˆj  A z kˆ  Ax, Ay Az projections of area of triangle PQR on the yz, zx xy   PQR yz, zx and xy planes respectively, then value   of |B|2 is - |B|2- (1) 18 (2) 9 (3) 24 9 (1) 18 (2) 9 (3) 24 9 (4) (4) 2 2 89. In the mean and the variance of a binomial 89.  X      variate X are 2 and 1 respectively, then the 2 1X 1 probability that X takes a value greater - than one is equal to - 4 15 4 15 (1) 16 (2) 16 (1) 16 (2) 16 5 11 5 11 (3) 16 (4) 16 (3) (4) 16 16 90. If line x + y +  = 0 touches curve 90. x+ y +  = 0, 4x3 + 4y3 = xy(xy + 16) 4x3 + 4y3 = xy(xy + 16) at points (x1, y1) and  (x1, y1) (x2, y2), x1  x2   (x2, y2), x1  x2, then value of  is ( R)  ( R) (1) 0 3 (3) 2 (4) –1 (1) 0 3 (3) 2 (4) –1 (2) 2 (2) 2  H-32/33 1001CT103516016

Leader Course/Phase-III to VII/Score-I/05-03-2017/Paper-2   1001CT103516016 H-33/33