1
JEE Main 2019 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Four persons can hit a target correctly with probabilities $${1 \over 2}$$, $${1 \over 3}$$, $${1 \over 4}$$ and $${1 \over 8}$$ respectively. if all hit at the target independently, then the probability that the target would be hit, is :
A
$${{25} \over {32}}$$
B
$${{25} \over {192}}$$
C
$${{1} \over {192}}$$
D
$${{7} \over {32}}$$
2
JEE Main 2019 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let $$\alpha $$ and $$\beta $$ be the roots of the equation x2 + x + 1 = 0. Then for y $$ \ne $$ 0 in R,
$$$\left| {\matrix{ {y + 1} & \alpha & \beta \cr \alpha & {y + \beta } & 1 \cr \beta & 1 & {y + \alpha } \cr } } \right|$$$ is equal to
A
y(y2 – 1)
B
y(y2 – 3)
C
y3
D
y3 – 1
3
JEE Main 2019 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The area (in sq. units) of the region

A = {(x, y) : x2 $$ \le $$ y $$ \le $$ x + 2} is
A
$${{31 \over 6}}$$
B
$${{10 \over 3}}$$
C
$${{13 \over 6}}$$
D
$${{9 \over 2}}$$
4
JEE Main 2019 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let the sum of the first n terms of a non-constant A.P., a1, a2, a3, ..... be $$50n + {{n(n - 7)} \over 2}A$$, where A is a constant. If d is the common difference of this A.P., then the ordered pair (d, a50) is equal to
A
(A, 50+45A)
B
(50, 50+45A)
C
(A, 50+46A)
D
(50, 50+46A)
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