1
IIT-JEE 1979
Subjective
+3
-0
Evaluate $$\int {{{{x^2}dx} \over {{{\left( {a + bx} \right)}^2}}}} $$
2
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.
3
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.
4
IIT-JEE 1979
MCQ (Single Correct Answer)
+2
-0.5
If $$\alpha + \beta + \gamma = 2\pi ,$$ then
A
$$tan{\alpha \over 2} + \tan {\beta \over 2} + \tan {\gamma \over 2} = \tan {\alpha \over 2}\tan {\beta \over 2}\tan {\gamma \over 2}$$
B
$$\tan {\alpha \over 2}\tan {\beta \over 2} + \tan {\beta \over 2}\tan {\gamma \over 2} + \tan {\gamma \over 2}\tan {\alpha \over 2} = 1$$
C
$$tan{\alpha \over 2} + \tan {\beta \over 2} + \tan {\gamma \over 2} = - \tan {\alpha \over 2}\tan {\beta \over 2}\tan {\gamma \over 2}$$
D
None of these.
JEE Advanced Papers
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