2017 JEE Maths Solved paper

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Previous Year Paper Mathematics - 2017
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Mathematics JEE 2017
Exam Year 2017
Study, Assignments, Solved Previous Year Papers .
Questions and Answers. Free Forever.

• Multiple Choice Questions
• If, for a positive integer n, the quadratic
  equation, x(x 1) (x 1) (x 2) .....
• (x n -1 ) (x n) 10n
• has two consecutive integral solutions, then n is
  equal to 11
• 12
• 9
• 10
• Answer
• The function
• neither injective nor surjective. invertible
• injective but not surjective. surjective but not
  injective
• Answer
• The following statement
• (p ? q ) ? (p ? q) ? q is a fallacy
• a tautology equivalent to p ? q equivalent to
  p ? q
• Answer

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Mathematics JEE 2017
Exam Year 2017
Study, Assignments, Solved Previous Year Papers .
Questions and Answers. Free Forever.
Answer 6. Let a, b, c ? R. If f(x) ax2 bx
c is such
is equal to
that a b c 3 and f(x y) f(x) f(y)
xy, ?x,y ? R,then 225 330 165 190 Answer

• Twenty meters of wire is available for fencing o?
  a ?ower-bed in the form of a circular sector.Then
  the
• maximum area (in sq. m) of the ?ower-bed, is
• 30
• 12.5
• 10
• 25
• Answer
• The value of
• (21C 10C ) (21C 10C ) (21C 10C ) (21C
  10C ) ....
• 1 1 2 2 3 3 4 4
• (21C 10C ) is
• 10 10
• 220 210

9. 1/4
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Mathematics JEE 2017
Exam Year 2017
Study, Assignments, Solved Previous Year Papers .
Questions and Answers. Free Forever.

• 1/24
• 1/16
• 1/8
• Answer
• If 5(tan2x cos2x) 2cos 2x 9, then the value
  of cos4x is
• -7/9
• -3/5
• 1/3
• 2/9
• Answer
• The eccentricity of an ellipse whose centre is at
  the origin is 1/2. If one of its directives is x
  4, then the equation of the normal to it at
  (1,3/2) is
• x 2y 4 2y x 2 4x 2y 1
• 4x 2y 7
• Answer
• If two di?erent numbers are taken from the set
  0, 1, 2, 3, ......., 10), then the probability
  that their sum, as well as absolute di?erence,
  are both multiple of 4, is
• 7/55
• 6/55
• 14/55

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Mathematics JEE 2017
Exam Year 2017
Study, Assignments, Solved Previous Year Papers .
Questions and Answers. Free Forever.

• Let a vertical tower AB have its end A on the
  level ground. Let C be the mid-point of AB and P
  be a point on
• the ground such that AP 2AB.If ?BPC ß , then
  tanß is equal to 4/9
• 6/7
• 1/4
• 2/9
• Answer
• If S is the set of distinct values of 'b' for
  which the following system of linear equations x
  y z 1
• x ay z 1 ax by z 0
• has no solution, then S is a singleton
• an empty set an in?nite set
• a ?nite set containing two or more elements
  Answer
• Let ? be a complex number such that 2? 1 z
  where z v-3. if

then k is equal to 1 -z z -1 Answer
then g(x) is equals to
17. If for x ? (0, 1/4) the derivatives
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Mathematics JEE 2017
Exam Year 2017
Study, Assignments, Solved Previous Year Papers .
Questions and Answers. Free Forever.
Answer 18. The radius of a circle, having
minimum area, which touches the curve y 4 x2
and the lines, y x is
Answer
then adj (3A2 12A) is equal to
19. If A,
Answer 20. Let k be an integer such that triangle
with vertices (k, 3k), (5, k) and (k, 2) has
area 28 sq. units. Then the orthocentre of this
triangle is at the point
Answer 21. The area (in sq. units) of the
region (x, y x 0, x y 3, x2 4y and y
1 vx 5/2
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Mathematics JEE 2017
Exam Year 2017
Study, Assignments, Solved Previous Year Papers .
Questions and Answers. Free Forever.

• 59/12
• 3/2
• 7/3
• Answer
• A man X has 7 friends, 4 of them are ladies and 3
  are men. His wife Y also has 7 friends,3 of them
  are ladies and 4 are men. Assume X and Y have no
  common friends. Then the total number of ways in
  which X and Y together can throw a party
  inviting 3 ladies and 3 men, so that 3 friends of
  each of X and Y are in this party, is
• 484
• 485
• 468
• 469
• Answer
• The normal to the curve y(x 2)(x 3) x 6
  at the point where the curve intersects the
  y-axis passes through the point

Answer
24. 1/8 25/8 2 5 Answer
is equal to
25. The integral -1
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Mathematics JEE 2017
Exam Year 2017
Study, Assignments, Solved Previous Year Papers .
Questions and Answers. Free Forever.
-2 2 4 Answer
is equal to
26. If
4/3 1/3 -2/3 -4/3 Answer 27. Let In ?tan x dx,(ngt
1) . I4 I6 a tan5x bx5 C, where C is a
constant of integration, then the ordered pair
(a, b) is equal to
Answer 28. If the image of the point P(1, 2, 3)
in the plane, 2x 3y 4z 22 0 measured
parallel to line, x/1 y/4 z/5 is Q, then PQ
is equal to
Answer 29. The distance of the point (1, 3, 7)
from the plane passing through the point (1, 1,
1), having normal
perpendicular to both the lines
is
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Mathematics JEE 2017
Exam Year 2017
Study, Assignments, Solved Previous Year Papers .
Questions and Answers. Free Forever.
Answer 30. A box contains 15 green and 10 yellow
balls. If 10 balls are randomly drawn,
onebyone, with replacement, then the variance
of the number of green balls drawn
is 6/25 12/5 6 4 Answer
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