1
WB JEE 2020
MCQ (More than One Correct Answer)
+2
-0
Change Language
In a certain test, there are n questions. In this test 2n-i students gave wrong answers to at least i questions, where i = 1, 2, ..., n. If the total number of wrong answers given is 2047, then n is equal to
A
10
B
11
C
12
D
13
2
WB JEE 2020
MCQ (More than One Correct Answer)
+2
-0
Change Language
A and B are independent events. The probability that both A and B occur is $${1 \over {20}}$$ and the probability that neither of them occurs is $${3 \over {5}}$$. The probability of occurrence of A is
A
$${1 \over {2}}$$
B
$${1 \over {10}}$$
C
$${1 \over {4}}$$
D
$${1 \over {5}}$$
3
WB JEE 2020
MCQ (More than One Correct Answer)
+2
-0
Change Language
The equation of the straight line passing through the point (4, 3) and making intercepts on the coordinate axes whose sum is $$ - 1$$ is
A
$${x \over 2} - {y \over 3} = 1$$
B
$${x \over { - 2}} + {y \over 1} = 1$$
C
$$ - {x \over 3} + {y \over 2} = 1$$
D
$${x \over 1} - {y \over 2} = 1$$
4
WB JEE 2020
MCQ (More than One Correct Answer)
+2
-0
Change Language
Consider a tangent to the ellipse $${{{x^2}} \over 2} + {{{y^2}} \over 1} = 1$$ at any point. The locus of the mid-point of the portion intercepted between the axes is
A
$${{{x^2}} \over 2} + {{{y^2}} \over 4} = 1$$
B
$${{{x^2}} \over 4} + {{{y^2}} \over 2} = 1$$
C
$${1 \over {3{x^2}}} + {1 \over {4{y^2}}} = 1$$
D
$${1 \over {2{x^2}}} + {1 \over {4{y^2}}} = 1$$
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