IIT-JEE Exam

Let z be a complex number such that the imaginary part of z is non zero and a = z^2 + z + 1 is real. Then a cannot
take the value

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IIT-JEE Other Question

The point P is the intersection of the straight line joining the points Q(2,3,5) and R(1, –1, 4) with the plane
5x – 4y – z = 1. If S is the foot of the perpendicular drawn from the point T(2, 1,4) to QR, then the length of the
line segment PS is
The total number of ways in which 5 balls of different colours can be distributed among 3 persons so that each
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(A) 75 (B) 150 (C) 210 (D) 243