1
IIT-JEE 1987
Fill in the Blanks
+2
-0
$$f\left( x \right) = \left| {\matrix{ {\sec x} & {\cos x} & {{{\sec }^2}x + \cot x\cos ec\,x} \cr {{{\cos }^2}x} & {{{\cos }^2}x} & {\cos e{c^2}x} \cr 1 & {{{\cos }^2}x} & {{{\cos }^2}x} \cr } } \right|.$$
Then $$\int\limits_0^{\pi /2} {f\left( x \right)dx = .......} $$
2
IIT-JEE 1987
Subjective
+3
-0
A man takes a step forward with probability $$0.4$$ and backwards with probability $$0.6$$ Find the probability that at the end of eleven steps he is one step away from the starting point.
3
IIT-JEE 1987
MCQ (More than One Correct Answer)
+2
-0.5
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that :
A
Its velocity is constant
B
its acceleration is constant
C
its kinetic energy is constant
D
it moves in a circular path
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