1
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
2
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
3
JEE Main 2019 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
If one end of a focal chord of the parabola, y2 = 16x is at (1, 4), then the length of this focal chord is :
A
24
B
20
C
25
D
22
4
JEE Main 2019 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
If the function ƒ : R – {1, –1} $$ \to $$ A defined by
ƒ(x) = $${{{x^2}} \over {1 - {x^2}}}$$ , is surjective, then A is equal to
A
R – (–1, 0)
B
R – {–1}
C
R – [–1, 0)
D
[0, $$\infty $$)
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