1
IIT-JEE 1979
Subjective
+2
-0
Prove that the minimum value of $${{\left( {a + x} \right)\left( {b + x} \right)} \over {\left( {c + x} \right)}},$$
$$a,b > c,x > - c$$ is $${\left( {\sqrt {a - c} + \sqrt {b - c} } \right)^2}$$.
2
IIT-JEE 1979
Subjective
+3
-0
Evaluate $$\int {{{{x^2}dx} \over {{{\left( {a + bx} \right)}^2}}}} $$
3
IIT-JEE 1979
MCQ (Single Correct Answer)
+1
-0.25
Two fair dice are tossed. Let $$x$$ be the event that the first die shows an even number and $$y$$ be the event that the second die shows an odd number. The two events $$x$$ and $$y$$ are:
A
Mutually exclusive
B
Independent and mutually exclusive
C
Dependent
D
None of these.
4
IIT-JEE 1979
Subjective
+4
-0
Six boys and six girls sit in a row randomly. Find the probability that
(i) the six girls sit together
(ii) the boys and girls sit alternately.
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