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Previous Year Paper Mathematics - 2016

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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