1
JEE Main 2019 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
The value of cos210° – cos10°cos50° + cos250° is
A
$${3 \over 2} + \cos {20^o}$$
B
$${3 \over 4}$$
C
$${3 \over 2}(1 + \cos {20^o})$$
D
$${3 \over 2}$$
2
JEE Main 2019 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Let S = {$$\theta $$ $$ \in $$ [–2$$\pi $$, 2$$\pi $$] : 2cos2$$\theta $$ + 3sin$$\theta $$ = 0}. Then the sum of the elements of S is
A
$$\pi $$
B
2$$\pi $$
C
$${{13\pi } \over 6}$$
D
$${{5\pi } \over 3}$$
3
JEE Main 2019 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
If a tangent to the circle x2 + y2 = 1 intersects the coordinate axes at distinct points P and Q, then the locus of the mid-point of PQ is :
A
x2 + y2 – 4x2y2 = 0
B
x2 + y2 - 2xy = 0
C
x2 + y2 – 2x2y2 = 0
D
x2 + y2 - 16x2y2 = 0
4
JEE Main 2019 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
If the function ƒ defined on , $$\left( {{\pi \over 6},{\pi \over 3}} \right)$$ by $$$f(x) = \left\{ {\matrix{ {{{\sqrt 2 {\mathop{\rm cosx}\nolimits} - 1} \over {\cot x - 1}},} & {x \ne {\pi \over 4}} \cr {k,} & {x = {\pi \over 4}} \cr } } \right.$$$ is continuous, then k is equal to
A
1
B
1 / $$\sqrt 2$$
C
$${1 \over 2}$$
D
2
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