1
JEE Main 2020 (Online) 4th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If the system of equations
x+y+z=2
2x+4y–z=6
3x+2y+$$\lambda $$z=$$\mu $$
has infinitely many solutions, then
A
2$$\lambda $$ - $$\mu $$ = 5
B
$$\lambda $$ - 2$$\mu $$ = -5
C
2$$\lambda $$ + $$\mu $$ = 14
D
$$\lambda $$ + 2$$\mu $$ = 14
2
JEE Main 2020 (Online) 4th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
In a game two players A and B take turns in throwing a pair of fair dice starting with player A and total of scores on the two dice, in each throw is noted. A wins the game if he throws total a of 6 before B throws a total of 7 and B wins the game if he throws a total of 7 before A throws a total of six. The game stops as soon as either of the players wins. The probability of A winning the game is :
A
$${5 \over {6}}$$
B
$${5 \over {31}}$$
C
$${31 \over {61}}$$
D
$${30 \over {61}}$$
3
JEE Main 2020 (Online) 4th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The function
$$f(x) = \left\{ {\matrix{ {{\pi \over 4} + {{\tan }^{ - 1}}x,} & {\left| x \right| \le 1} \cr {{1 \over 2}\left( {\left| x \right| - 1} \right),} & {\left| x \right| > 1} \cr } } \right.$$ is :
A
continuous on R–{–1} and differentiable on R–{–1, 1}
B
both continuous and differentiable on R–{1}
C
both continuous and differentiable on R–{–1}
D
continuous on R–{1} and differentiable on R–{–1, 1}
4
JEE Main 2020 (Online) 4th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
If for some positive integer n, the coefficients
of three consecutive terms in the binomial
expansion of (1 + x)n + 5 are in the ratio
5 : 10 : 14, then the largest coefficient in this expansion is :
A
330
B
792
C
252
D
462
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