1
IIT-JEE 1986
MCQ (More than One Correct Answer)
+2
-0.5
If the line $$ax+by+c=0$$ is a normal to the curve $$xy=1$$, then
A
$$a > 0,b > 0$$
B
$$a > 0,b < 0$$
C
$$a < 0,b > 0$$
D
$$a < 0,b < 0$$
2
IIT-JEE 1986
Subjective
+2
-0
Evaluate : $$\int\limits_0^\pi {{{x\,dx} \over {1 + \cos \,\alpha \,\sin x}},0 < \alpha < \pi } $$
3
IIT-JEE 1986
Fill in the Blanks
+2
-0
If $${{1 + 3p} \over 3},\,\,\,{{1 - p} \over 4}$$ and $$\,{{1 - 2p} \over 2}$$ are the probabilities of three mutually exclusive events, then the set of all values of $$p$$ is ..............
4
IIT-JEE 1986
MCQ (Single Correct Answer)
+2
-0.5
A student appears for tests, $$I$$, $$II$$ and $$III$$. The student is successful if he passes either in tests $$I$$ and $$II$$ or tests $$I$$ and $$III$$. The probabilities of student passing in tests $$I$$, $$II$$ and $$III$$ are $$p, q$$ and $${1 \over 2}$$ respectively. If the probability that the student is successful is $${1 \over 2}$$, then
A
$$p=q=1$$
B
$$p = q = {1 \over 2}$$
C
$$p=1,$$ $$q=0$$
D
$$p = 1,q = {1 \over 2}$$
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