IIT-JEE Exam

The function f : [0, 3] [1, 29], defined by f(x) = 2x^3 -– 15x^2 + 36x + 1, is
(A) one-one and onto (B) onto but not one-one
(C) one-one but not onto (D) neither one-one nor onto

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IIT-JEE Other Question

The total number of ways in which 5 balls of different colours can be distributed among 3 persons so that each
person gets at least one ball is
(A) 75 (B) 150 (C) 210 (D) 243
The locus of the mid-point of the chord of contact of tangents drawn from points lying on the straight line
4x – 5y = 20 to the circle x^2 + y^2 = 9 is