IIT-JEE-2011-Maths-PSS-1

Let be solution of the following equations. Then is (a) (b) (c) (d) 6 Let be two sets. Then (a) (b) (c) (d) P = Q Let be three vectors A vector in the plane of , whose projection on is is given by (a) (b) (c) (d) The value of is (a) (b) (c) (d) A straight line L through the point (3, –2) is inclined at an angle 60º to the line . If L also intersects the x-axis, then the equation of L is (a) (b) (c) (d) Let be the roots of with . If for , then the value of is (a) 1 (b) 2 (c) 3 (d) 4 Let the straight line x = b divides the area enclosed by into two parts such that . The b equals (a) (b) (c) (d) Let be a function such that . If f(x) is differentiable at x = 0, then (a) f(x) is differentiable only in a finite interval containing zero (b) f(x) is continuous (c) f(x) is constant (d) f(x) is differentiable except at finitely many points The vector(s) which is/are coplanar with vectors,and perpendicular to the vector is/are (a) (b) (c) (d) Let the eccentricity of the hyperbola be reciprocal to that of the ellipse .If the hyperbola passes through a focus of the ellipse, then (a) the equation of the hyperbola is (b) a focus of the hyperbola is (2, 0) (c) the eccentricity of the hyperbola is (d) the equation of the hyperbola is IIT JEE – 2011 - Maths PSS – 1 www.learnersplanet.com www.learnersplanet.com IIT JEE – 2011 - Maths PSS – 1 www.learnersplanet.com