2018 JEE Maths Solved paper

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Previous Year Paper Mathematics - 2018
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Mathematics JEE 2018
Exam Year 2018
Study, Assignments, Solved Previous Year Papers .
Questions and Answers. Free Forever.

• Multiple Choice Questions
• For each t ?R, let t be the greatest integer
  less than or equal to t. Then limx?0
  x1x2x......15x
• does not exist (in R) is equal to 0
• is equal to 15 is equal to 120
• Answer
• If the tangent at (1, 7) to the curve x2 y 6
  touches the circle x2 y2 16x 12y c 0
  then the value of c is
• 95
• 195
• 185
• 85
• Answer
• If a, ß ? C are the distinct roots, of the
  equation x2 -x 1 0, then a101 ß107 is equal
  to 2
• -1
• 1
• Answer

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Mathematics JEE 2018
Exam Year 2018
Study, Assignments, Solved Previous Year Papers .
Questions and Answers. Free Forever.

• 1
• Answer
• Tangents are drawn to the hyperbola 4x2 y2 36
  at the points P and Q. If these tangents
  intersect at the point T(0, 3) then the area (in
  sq. units) of ?PTQ is
• 365
• 455
• 543
• 603
• Answer
• From 6 di?erent novels and 3 di?erent
  dictionaries, 4 novels and 1 dictionary are to be
  selected and arranged in a row on a shelf so
  that the dictionary is always in the middle. The
  number of such arrangements is
• At least 750 but less than 1000 At least 1000
• Less then 500
• At least 500 but less than 750 Answer
• Two sets A and B are as under
• A (a-b)? RxRa-5lt1 and b-5lt1
• B (a,b)? Rx R 4(a-6)2 9 (b-5)2 36,then
• Neither A ? B nor B ? A B ? A
• A ? B
• A n B ? (an empty set) Answer

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Mathematics JEE 2018
Exam Year 2018
Study, Assignments, Solved Previous Year Papers .
Questions and Answers. Free Forever.

• Answer
• The Boolean expression (p v q )v (-p ?q ) is
  equivalent to
• q
• p p
• q Answer
• A straight line through a ?xed point (2, 3)
  intersects the coordinate axes at distinct points
  P and Q. If O is the origin and the rectangle
  OPRQ is completed, then the locus of R is
• 3x 2y 6xy 3x 2y 6
• 2x 3y xy 3x 2y xy
• Answer
• Let A be the sum of the ?rst 20 terms and B be
  the sum of the ?rst 40 terms of the series 12
  2.22 32 2.42 52 2.62 .....
• If B 2A 100?, then ?is equal to 496
• 232
• 248
• 464
• Answer
• Let a1, a2, a3, ...., a49 be in A.P. such
• that ?k 012ak-1 416 and a9 a43 66. if a12
  a22 ....... a172 140m then m is equal to
  33
• 66
• 68

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Mathematics JEE 2018
Exam Year 2018
Study, Assignments, Solved Previous Year Papers .
Questions and Answers. Free Forever.

• -22
• Answer
• 15. If ?i19 (xi -5) 9 and ?i 19(xi - 5)2
  45 then the standard deviation of the 9 items
  x1, x2, ...., x9 is
• 3
• 9
• 4
• 2
• Answer
• If the system of linear equations x ky 3z
  0
• 3x ky 2z 0 2x 4y 3z 0
• has a non-zero solution (x,y,z), then xz/y2 is
  equal to 30
• -10
• 10
• -30
• Answer
• If x-42x2x2xx-42x2x2xx-4 (A Bx)(x-A)2, then
  the ordered pair (A,B) is equal to (4,5)
• (-4,-5)
• (-4,3)
• (-4,5)

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Mathematics JEE 2018
Exam Year 2018
Study, Assignments, Solved Previous Year Papers .
Questions and Answers. Free Forever.

• -49p2
• 493p2
• -893p2
• -89p2
• Answer
• 20. Let S x ? R x 0 and 2x-3 x(x-6)
  6 0 Then S Contains exactly four elements
• Is an empty set
• Contains exactly one element Contains exactly
  two elements
• Answer
• If the curves y2 6x, 9x2 by2 16 intersect
  each other at right angles, then the value of b
  is 9/2
• 6
• 7/2
• 4
• Answer
• Let u? be a vector coplanar with the vectors a a?
  2i 3j -
• k and b? j k. if u? is perpendicular to a?
  and u?.b? 24, then u? is equal to 84
• 336
• 315
• 256

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Mathematics JEE 2018
Exam Year 2018
Study, Assignments, Solved Previous Year Papers .
Questions and Answers. Free Forever.

• p/4
• p/8 p/2 4p
• Answer
• Let g(x) cos x2, f(x) x and a, ß (a lt ß) be
  the roots of the quadrtic equation 18x2 - 9px
  p2 0. Then the area (in sq. units) bounded by
  the curve y (gof)(x) and the lines x a, x ß
  and y 0 is
• 12(2-1)
• 12(3-1)
• 12(31)
• 12(3-2)
• Answer
• If sum of all the solutions of the equation 8 cos
  x. cos p6x.cosp6-x-12 1 in 0,p is kp, then k
  is equal to 20/9
• 2/3
• 13/9
• 8/9
• Answer
• The Integral?sin2 x cos2 x (sin5 x cos3 x sin2
  x sin3 x cos2 x cos 5x)2dx is equal to
  (where C is a constant of integration)
• -11 cot3 x C 13(1 tan3 x) C
• -13(1 tan3 x ) C
• 11 cot3 x C Answer
• A bag contains 4 red and 6 black balls. A ball is
  drawn at random from the bag, its colour is
  observed and this ball along with two additional
  balls of the same colour are returned to the bag.
  If now a ball is drawn at random from the bag,
  then the probability that this drawn ball is red,
  is

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Mathematics JEE 2018
Exam Year 2018
Study, Assignments, Solved Previous Year Papers .
Questions and Answers. Free Forever.
of this triangle, then the radius of the circle
having line segment AC as diameter,
is 352 10 210 352 Answer 30. The length of the
projection of the line segment joining the points
(5, 1, 4) and (4, 1, 3) on the plane, x y
z 7 is 23 23 2/3 1/3 Answer
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