1
JEE Main 2020 (Online) 2nd September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let y = y(x) be the solution of the differential equation,
$${{2 + \sin x} \over {y + 1}}.{{dy} \over {dx}} = - \cos x$$, y > 0,y(0) = 1.
If y($$\pi $$) = a and $${{dy} \over {dx}}$$ at x = $$\pi $$ is b, then the ordered pair (a, b) is equal to :
A
(2, 1)
B
$$\left( {2,{3 \over 2}} \right)$$
C
(1, -1)
D
(1, 1)
2
JEE Main 2020 (Online) 2nd September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let X = {x $$ \in $$ N : 1 $$ \le $$ x $$ \le $$ 17} and
Y = {ax + b: x $$ \in $$ X and a, b $$ \in $$ R, a > 0}. If mean
and variance of elements of Y are 17 and 216
respectively then a + b is equal to :
A
7
B
9
C
-7
D
-27
3
JEE Main 2020 (Online) 2nd September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The plane passing through the points (1, 2, 1),
(2, 1, 2) and parallel to the line, 2x = 3y, z = 1
also passes through the point :
A
(0, 6, –2)
B
(–2, 0, 1)
C
(0, –6, 2)
D
(2, 0 –1)
4
JEE Main 2020 (Online) 2nd September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Let P(h, k) be a point on the curve
y = x2 + 7x + 2, nearest to the line, y = 3x – 3.
Then the equation of the normal to the curve at P is :
A
x – 3y – 11 = 0
B
x – 3y + 22 = 0
C
x + 3y – 62 = 0
D
x + 3y + 26 = 0
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