1
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let a and b respectively be the semitransverse and semi-conjugate axes of a hyperbola whose eccentricity satisfies the equation 9e2 − 18e + 5 = 0. If S(5, 0) is a focus and 5x = 9 is the corresponding directrix of this hyperbola, then a2 − b2 is equal to :
A
7
B
$$-$$ 7
C
5
D
$$-$$ 5
2
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The distance of the point (1, − 2, 4) from the plane passing through the point (1, 2, 2) and perpendicular to the planes x − y + 2z = 3 and 2x − 2y + z + 12 = 0, is :
A
$$2\sqrt 2 $$
B
2
C
$$\sqrt 2 $$
D
$${1 \over {\sqrt 2 }}$$
3
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If  m and M are the minimum and the maximum values of

4 + $${1 \over 2}$$ sin2 2x $$-$$ 2cos4 x, x $$ \in $$ R, then M $$-$$ m is equal to :
A
$${{15} \over 4}$$
B
$${{9} \over 4}$$
C
$${{7} \over 4}$$
D
$${{1} \over 4}$$
4
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
A rocket is fired vertically from the earth with an acceleration of 2g, where g is the gravitational acceleration. On an inclined plane inside the rocket, making an angle $$\theta $$ with the horizontal, a point object of mass m is kept. The minimum coefficient of friction $$\mu $$min between the mass and the inclined surface such that the mass does not move is :
A
tan$$\theta $$
B
2tan$$\theta $$
C
3tan$$\theta $$
D
tan2$$\theta $$
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