1
JEE Main 2020 (Online) 2nd September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let $$\alpha $$ > 0, $$\beta $$ > 0 be such that
$$\alpha $$3 + $$\beta $$2 = 4. If the maximum value of the term independent of x in
the binomial expansion of $${\left( {\alpha {x^{{1 \over 9}}} + \beta {x^{ - {1 \over 6}}}} \right)^{10}}$$ is 10k,
then k is equal to :
A
176
B
336
C
352
D
84
2
JEE Main 2020 (Online) 2nd September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
If |x| < 1, |y| < 1 and x $$ \ne $$ y, then the sum to infinity of the following series

(x + y) + (x2+xy+y2) + (x3+x2y + xy2+y3) + ....
A
$${{x + y - xy} \over {\left( {1 + x} \right)\left( {1 + y} \right)}}$$
B
$${{x + y - xy} \over {\left( {1 - x} \right)\left( {1 - y} \right)}}$$
C
$${{x + y + xy} \over {\left( {1 + x} \right)\left( {1 + y} \right)}}$$
D
$${{x + y + xy} \over {\left( {1 - x} \right)\left( {1 - y} \right)}}$$
3
JEE Main 2020 (Online) 2nd September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Box I contains 30 cards numbered 1 to 30 and Box II contains 20 cards numbered 31 to 50. A box is selected at random and a card is drawn from it. The number on the card is found to be a non-prime number. The probability that the card was drawn from Box I is :
A
$${8 \over {17}}$$
B
$${2 \over 3}$$
C
$${2 \over 5}$$
D
$${4 \over {17}}$$
4
JEE Main 2020 (Online) 2nd September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Area (in sq. units) of the region outside

$${{\left| x \right|} \over 2} + {{\left| y \right|} \over 3} = 1$$ and inside the ellipse $${{{x^2}} \over 4} + {{{y^2}} \over 9} = 1$$ is :
A
$$6\left( {4 - \pi } \right)$$
B
$$3\left( {4 - \pi } \right)$$
C
$$6\left( {\pi - 2} \right)$$
D
$$3\left( {\pi - 2} \right)$$
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