2016 JEE Maths Solved paper

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Previous Year Paper Mathematics - 2016
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Mathematics JEE 2016
Exam Year 2016
Study, Assignments, Solved Previous Year Papers .
Questions and Answers. Free Forever.

• Multiple Choice Questions
• The sum of all real values of x satisfying the
  equation is
• 3
• -4
• 6
• 5
• Answer
• If all the words (with or without meaning) having
  ?ve letters, formed using the letters of the word
  SMALL and arranged as in a dictionary then the
  position of the word SMALL is
• 46th
• 59th 52nd 58th
• Answer

is 28, then the sum of the coe?cients of all
3. If the number of terms in the expansion of the
terms in this expansion is 64 2187 243 729 Answer

• If the 2nd, 5th and 9th terms of a non-constant
  A.P. are in G.P., then the common ratio of this
  G.P. is
• 8/5
• 4/3
• 1
• 7/4
• Answer
• If the sum of the ?rst ten terms of the series,

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Mathematics JEE 2016
Exam Year 2016
Study, Assignments, Solved Previous Year Papers .
Questions and Answers. Free Forever.

• is 16/5 m, the m is equal to
• 102
• 101
• 100
• 99
• Answer
• Let then log p is equal to 2
• 1
• 1/2
• 1/4
• Answer
• A man is walking towards a vertical pillar in a
  straight path, at a uniform speed. At a certain
  point A on the
• path, he observes that the angle of elevation of
  the top of the pillar is 30o. After walking for
  10 minutes from A in the same direction, at a
  point B, he observes that the angle of elevation
  of the top of the pillar is
• 60o. Then the time taken (in minutes) by him,
  from B to reach the pillar, is 6
• 10
• 20
• 5
• Answer
• If

is an empty set contains exactly one element.
contains exactly two elements. contains more
than two elements. Answer
is purely imaginary is
9. A value of ? for which p/3 p/6
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Mathematics JEE 2016
Exam Year 2016
Study, Assignments, Solved Previous Year Papers .
Questions and Answers. Free Forever.

• Answer
• If A and A adj A AAT, then 5a b is equal to
• -1
• 5
• 4
• 5
• Answer
• The system of linear equations x?y-z0
  ?x-y-z0 xy-?z0 has a non-trivial solution for
  in?nitely many values of ?.
• exactly one value of ?. exactly two values of ?.
  exactly three values of ?.
• Answer
• For x e R, f (x)log2-sinx and g(x)f(f(x)),
  then g is not di?erentiable at x0
  g'(0)cos(log2)
• g'(0)-cos(log2)
• g is di?erentiable at x0 and g'(0)-sin(log2)
  Answer

. A normal to y f (x) at x p/6 also passes
through the

• Consider f(x) tan-1
• point
• (0,0)
• (0, 2p/3)
• (p/6 ,0)
• (p/4, 0)
• Answer
• A wire of length 2 units is cut into two parts
  which are bent respectively to form a square of
  sidex units and a circle of radiusr units. If
  the sum of the areas of the square and the circle
  so formed is minimum, then

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Mathematics JEE 2016
Exam Year 2016
Study, Assignments, Solved Previous Year Papers .
Questions and Answers. Free Forever.
2x(p4)r (4-p)xpr x2r 2xr Answer
is equal to
15.
18/e4 27/e2 9/e2 3 log 3-2 Answer
is
16. The area (in sq. units) of the region

• Answer
• If a curve yf(x) passes through the point (1,
  -1) and satis?es the di?erential equation,
  y(1xy) dxx dy, then f(-1/2) is equal to
• -2/5
• -4/5
• 2/5
• 4/5
• Answer
• Let two fair six-faced dice A and B be thrown
  simultaneously. If E1 is the event that die A
  shows up four, E2 is the event that die B shows
  up two and E3 is the event that the sum of
  numbers on both dice is odd, then which of the
  following statements is NOT true?
• E1 and E2 are independent
• E2 and E3 are independent.

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Mathematics JEE 2016
Exam Year 2016
Study, Assignments, Solved Previous Year Papers .
Questions and Answers. Free Forever.
E1 and E3 are independent. E1, E2 and E3 are
independent. Answer 19. If 0xlt2p, then the
number of real values of x, which satisfy the
equation cosxcos2xcos3xcos4x0,
is 3 5 7 9 Answer
is equal to
20. The integral

• Answer
• Two sides of a rhombus are along the lines,
  x-y10 and 7x-y-50. If its diagonals intersect
  at (-1, -2), then which one of the following is
  a vertex of this rhombus?
• (-3, -9)
• (-3, -8)
• (1/3, -8/3)
• (-10/3, -7/3)
• Answer
• The centres of those circles which touch the
  circle, x2y2-8x-8y-40, externally and also
  touch the x- axis, lie on
• a circle
• an ellipse which is not a circle a hyperbola.
• a parabola.
• Answer

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Mathematics JEE 2016
Exam Year 2016
Study, Assignments, Solved Previous Year Papers .
Questions and Answers. Free Forever.
23. If one of the diameters of the circle, given
by the equation, x2y2-4x6y-120, is a chord of
a circle S, whose centre is at (-3, 2), then the
radius of S is

• 5
• 10
• Answer
• Let P be the point on the parabola, y28x which
  is at a minimum distance from the centre C of the
  circle, x2(y6)21. Then the equation of the
  circle, passing through C and having its centre
  at P is
• x2y2-4x8y120 x2y2-x4y-120 x2y2- 4 x
  2y-240 x2y2-4x9y180
• Answer
• The eccentricity of the hyperbola whose length of
  the latus rectum is equal to 8 and the length of
  its conjugate axis is equal to half of the
  distance between its foci, is
• 4/3

Answer 26. The distance of the point (1, -5, 9)
from the plane x-yz5 measured along the line
xyz is
Answer
lies in the plane lx my -z 9, then l2 m2 is
equal to
27. If the line
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Mathematics JEE 2016
Exam Year 2016
Study, Assignments, Solved Previous Year Papers .
Questions and Answers. Free Forever.
26 18 5 2 Answer
be three unit vectors such that
then the angle
28. Let
is
between 3p/4 p/2 2p/3 5p/6 Answer

• If the standard deviation of the numbers 2, 3, a
  and 11 is 3.5, then which of the following is
  true?
• 3a2-26a550
• 3a2-32a840
• 3a2-34a910
• 3a2-23a440
• Answer
• The Boolean Expression (p?q)?q?(p?q) is
  equivalent to
• p ? q p ? q p ? q
• p ? q Answer

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