1
JEE Main 2019 (Online) 9th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If y = y(x) is the solution of the differential equation,

x$$dy \over dx$$ + 2y = x2, satisfying y(1) = 1, then y($$1\over2$$) is equal to :
A
$$ {{7} \over {64}}$$
B
$$ {{49} \over {16}}$$
C
$$ {{1} \over {4}}$$
D
$$ {{13} \over {16}}$$
2
JEE Main 2019 (Online) 9th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Two cards are drawn successively with replacement from a well-shuffled deck of 52 cards. Let X denote the random variable of number of aces obtained in the two drawn cards. Then P(X = 1) + P (X = 2) equals :
A
$$25 \over 169$$
B
$$49\over 169$$
C
$$24 \over 169$$
D
$$52 \over 169$$
3
JEE Main 2019 (Online) 9th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let $$0 < \theta < {\pi \over 2}$$. If the eccentricity of the

hyperbola $${{{x^2}} \over {{{\cos }^2}\theta }} - {{{y^2}} \over {{{\sin }^2}\theta }}$$ = 1 is greater

than 2, then the length of its latus rectum lies in the interval :
A
(3, $$\infty $$)
B
$$\left( {{3 \over 2},2} \right]$$
C
$$\left( {1,{3 \over 2}} \right]$$
D
$$\left( {2,3} \right]$$
4
JEE Main 2019 (Online) 9th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If $${\cos ^{ - 1}}\left( {{2 \over {3x}}} \right) + {\cos ^{ - 1}}\left( {{3 \over {4x}}} \right) = {\pi \over 2}$$ (x > $$3 \over 4$$), then x is equal to :
A
$${{\sqrt {145} } \over {10}}$$
B
$${{\sqrt {145} } \over {11}}$$
C
$${{\sqrt {145} } \over {12}}$$
D
$${{\sqrt {146} } \over {12}}$$
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