1
JEE Main 2019 (Online) 9th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If the function $$f(x) = \left\{ {\matrix{ {a|\pi - x| + 1,x \le 5} \cr {b|x - \pi | + 3,x > 5} \cr } } \right.$$
is continuous at x = 5, then the value of a – b is :-
A
$${2 \over {\pi - 5 }}$$
B
$${2 \over {5 - \pi }}$$
C
$${-2 \over {\pi + 5 }}$$
D
$${2 \over {\pi + 5 }}$$
2
JEE Main 2019 (Online) 9th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
$$\int {{e^{\sec x}}}$$ $$(\sec x\tan xf(x) + \sec x\tan x + se{x^2}x)dx$$
= esecxf(x) + C then a possible choice of f(x) is :-
A
x sec x + tan x + 1/2
B
sec x + xtan x - 1/2
C
sec x - tan x - 1/2
D
sec x + tan x + 1/2
3
JEE Main 2019 (Online) 9th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The area (in sq. units) of the smaller of the two circles that touch the parabola, y2 = 4x at the point (1, 2) and the x-axis is :-
A
$$4\pi \left( {3 +\sqrt 2 } \right)$$
B
$$8\pi \left( {2 - \sqrt 2 } \right)$$
C
$$8\pi \left( {3 - 2\sqrt 2 } \right)$$
D
$$4\pi \left( {2 - \sqrt 2 } \right)$$
4
JEE Main 2019 (Online) 9th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If m is chosen in the quadratic equation

(m2 + 1) x2 – 3x + (m2 + 1)2 = 0

such that the sum of its roots is greatest, then the absolute difference of the cubes of its roots is :-
A
$$4\sqrt 3 $$
B
$$8\sqrt 3 $$
C
$$8\sqrt 5 $$
D
$$10\sqrt 5 $$
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