1
JEE Main 2019 (Online) 10th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let f(x) = loge(sin x), (0 < x < $$\pi $$) and g(x) = sin–1 (e–x ), (x $$ \ge $$ 0). If $$\alpha $$ is a positive real number such that a = (fog)'($$\alpha $$) and b = (fog)($$\alpha $$), then :
A
a$$\alpha $$2 + b$$\alpha $$ - a = -2$$\alpha $$2
B
a$$\alpha $$2 + b$$\alpha $$ + a = 0
C
a$$\alpha $$2 - b$$\alpha $$ - a = 0
D
a$$\alpha $$2 - b$$\alpha $$ - a = 1
2
JEE Main 2019 (Online) 10th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The angles A, B and C of a triangle ABC are in A.P. and a : b = 1 : $$\sqrt 3 $$. If c = 4 cm, then the area (in sq. cm) of this triangle is :
A
2$$\sqrt 3 $$
B
4$$\sqrt 3 $$
C
$${4 \over {\sqrt 3 }}$$
D
$${2 \over {\sqrt 3 }}$$
3
JEE Main 2019 (Online) 10th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Minimum number of times a fair coin must be tossed so that the probability of getting at least one head is more than 99% is :
A
6
B
5
C
8
D
7
4
JEE Main 2019 (Online) 10th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let $$\lambda $$ be a real number for which the system of linear equations x + y + z = 6, 4x + $$\lambda $$y – $$\lambda $$z = $$\lambda $$ – 2, 3x + 2y – 4z = – 5 has infinitely many solutions. Then $$\lambda $$ is a root of the quadratic equation:
A
$$\lambda $$2 + $$\lambda $$ - 6 = 0
B
$$\lambda $$2 - $$\lambda $$ - 6 = 0
C
$$\lambda $$2 - 3$$\lambda $$ - 4 = 0
D
$$\lambda $$2 + 3$$\lambda $$ - 4 = 0
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