The circle passing through (1, -2) and touching the axis of x at (3, 0) also passes through the point (2) (5,-2) (1) (2,-5) (3) (-2,5) (4) (-5, 2) ABCD is a trapezium such that AB and CD are parallel and BCLCD. If ZADB = 0, BC = p and CD = q, then AB is equal to p +q cos 0 (1) (3) p cos 0+q sin 0 (p +q) sin 0 (p cos 0+q sin 0)* (2) (4) p +q p cos 0+q sin 0 (p +q) sin 0 p cos 0+q sin 0 Given: A circle, 2x + 2y = 5 and a parabola, y = 45 x. Statement - I: An equation of a common tangent to these curves is y=x+5. 5 Statement - II: If the line, y = mx + (m + 0) is their common tangent, then m satisfies m* - 3m + 2 = m 0. (1) Statement - I is True; Statement -II is true; Statement-II is not a correct explanation for Statement-I (2) Statement -I is True; Statement -II is False. Statement -I is False; Statement -II is True (3) (4) Statement -I is True; Statement -II is True; Statement-II is a correct explanation for Statement-I A ray of light along x+3y = 3 gets reflected upon reaching x-axis, the equation of the reflected rays is (1) 3y=x-3 (3) 3y=x-1 (2) y = 3x-3 (4) y=x+3 All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of 10 to each of the students. Which of the following statistical measures will not change even after the grace marks were given ? (1) median (3) variance (2) mode (4) mean