1
JEE Main 2020 (Online) 8th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Which one of the following is a tautology?
A
P $$ \wedge $$ (P $$ \vee $$ Q)
B
P $$ \vee $$ (P $$ \wedge $$ Q)
C
Q $$ \to $$ (P $$ \wedge $$ (P $$ \to $$ Q))
D
(P $$ \wedge $$ (P $$ \to $$ Q)) $$ \to $$ Q
2
JEE Main 2020 (Online) 8th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
For which of the following ordered pairs ($$\mu $$, $$\delta $$), the system of linear equations
x + 2y + 3z = 1
3x + 4y + 5z = $$\mu $$
4x + 4y + 4z = $$\delta $$
is inconsistent ?
A
(1, 0)
B
(4, 3)
C
(4, 6)
D
(3, 4)
3
JEE Main 2020 (Online) 8th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
If c is a point at which Rolle's theorem holds for the function,
f(x) = $${\log _e}\left( {{{{x^2} + \alpha } \over {7x}}} \right)$$ in the interval [3, 4], where a $$ \in $$ R, then ƒ''(c) is equal to
A
$${1 \over {12}}$$
B
$${{\sqrt 3 } \over 7}$$
C
$$-{1 \over {12}}$$
D
$$-{1 \over {24}}$$
4
JEE Main 2020 (Online) 8th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The locus of a point which divides the line segment joining the point (0, –1) and a point on the parabola, x2 = 4y, internally in the ratio 1 : 2, is :
A
9x2 – 3y = 2
B
4x2 – 3y = 2
C
x2 – 3y = 2
D
9x2 – 12y = 8
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