IIT-JEE Exam

ABCD is a trapezium such that AB and CD are
parallel and BC ⊥ CD. If ∠ADB = θ, BC = p and
CD = q, then AB is equal to -

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IIT-JEE Other Question

At present, a firm is manufacturing 2000 items. It
is estimated that the rate of change of production
P w.r.t. additional number of workers x is given
by
dp/dx = 100 – 12 sqrtx . If the firm employs 25
more workers, then the new level of production of
items is -
(1) 3500 (2) 4500 (3) 2500 (4) 3000 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) mode (2) variance
(3) mean (4) median