2016 JEE Maths Solved paper

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2. Mathematics JEE2016 Exam Year 2016 Study, Assignments, Solved Previous Year Papers .Questions and Answers. Free Forever. Multiple ChoiceQuestions 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 five letters, formed using the letters of the word SMALL and arranged as in a dictionary; then the position of the word SMALLis: 46th 59th 52nd 58th Answer 3. If the number of terms in the expansionof the terms in this expansion is 64 2187 243 729 Answer is 28, then the sum of the coefficients ofall Ifthe2nd,5thand9thtermsofanon-constantA.P.areinG.P.,thenthecommonratioofthisG.P.is: 8/5 4/3 1 7/4 Answer If the sum of the first ten terms of theseries, Like. Share. Bookmark. Download. Make Notes. Print - Your Favourite Questions. Joinwww.zigya.com

3. Mathematics JEE2016 Exam Year 2016 Study, Assignments, Solved Previous Year Papers .Questions and Answers. Free Forever. is 16/5 m, the m is equalto 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 onthe 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 pillaris 60o. Then the time taken (in minutes) by him, from B to reach the pillar, is: 6 10 20 5 Answer If is an emptyset contains exactly one element. contains exactly two elements. contains more than twoelements. Answer 9. A value of θ forwhich π/3 π/6 is purely imaginaryis Like. Share. Bookmark. Download. Make Notes. Print - Your Favourite Questions. Joinwww.zigya.com

4. Mathematics JEE2016 Exam Year 2016 Study, Assignments, Solved Previous Year Papers .Questions and Answers. Free Forever. Answer IfA= and A adj A = AAT, then 5a +b is equalto -1 5 4 5 Answer The system of linear equations x+λy−z=0; λx−y−z=0; x+y−λz=0 has a non-trivial solution for infinitely many values ofλ. exactly one value of λ. exactly two values of λ. exactly three values ofλ. Answer For x ε R, f (x)=|log2−sinx| and g(x)=f(f(x)), then : g is not differentiable at x=0 g'(0)=cos(log2) g'(0)=-cos(log2) g is differentiable at x=0 and g'(0)=−sin(log2) Answer Consider f(x) =tan-1 point (0,0) (0,2π/3) (π/6,0) (π/4,0) Answer A wire of length 2 units is cut into two parts which are bent respectively to form a square of side=x units and a circle of radius=r units. If the sum of the areas of the square and the circle so formed is minimum, then: . A normal to y = f (x) at x = π/6 also passes throughthe Like. Share. Bookmark. Download. Make Notes. Print - Your Favourite Questions. Joinwww.zigya.com

5. Mathematics JEE2016 Exam Year 2016 Study, Assignments, Solved Previous Year Papers .Questions and Answers. Free Forever. 2x=(π+4)r (4−π)x=πr x=2r 2x=r Answer 15. is equalto 18/e4 27/e2 9/e2 3 log 3-2 Answer 16. The area (in sq. units) ofthe region is Answer If a curve y=f(x) passes through the point (1, −1) and satisfies the differential equation, y(1+xy) dx=x dy, then f(-1/2) is equalto -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 whichofthefollowingstatementsisNOTtrue? E1 and E2 areindependent E2 and E3 areindependent. Like. Share. Bookmark. Download. Make Notes. Print - Your Favourite Questions. Joinwww.zigya.com

6. Mathematics JEE2016 Exam Year 2016 Study, Assignments, Solved Previous Year Papers .Questions and Answers. Free Forever. E1 and E3 areindependent. E1, E2 and E3 areindependent. Answer 19. If 0≤x<2π, then the number of real values of x, which satisfy the equation cosx+cos2x+cos3x+cos4x=0,is : 3 5 7 9 Answer 20. Theintegral is equalto Answer Two sides of a rhombus are along the lines, x−y+1=0 and 7x−y−5=0. If its diagonals intersect at (−1, −2), then which one of the following is a vertex of thisrhombus? (−3,−9) (−3,−8) (1/3,-8/3) (-10/3,-7/3) Answer The centres of those circles which touch the circle, x2+y2−8x−8y−4=0, externally and also touch the x- axis, lieon: acircle an ellipse which is not a circle ahyperbola. aparabola. Answer Like. Share. Bookmark. Download. Make Notes. Print - Your Favourite Questions. Joinwww.zigya.com

7. Mathematics JEE2016 Exam Year 2016 Study, Assignments, Solved Previous Year Papers .Questions and Answers. Free Forever. 23.Ifoneofthediametersofthecircle,givenbytheequation,x2+y2−4x+6y−12=0,isachordofacircleS, whose centre is at (−3, 2), then the radius of Sis: 5 10 Answer Let P be the point on the parabola, y2=8x which is at a minimum distance from the centre C of the circle, x2+(y+6)2=1.Thentheequationofthecircle,passingthroughCandhavingitscentreatPis: x2+y2−4x+8y+12=0 x2+y2−x+4y−12=0 x2+y2− 4 x +2y−24=0 x2+y2−4x+9y+18=0 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−y+z=5 measured along the line x=y=zis: Answer 27. If theline lies in the plane lx +my -z = 9, then l2 +m2 is equalto Like. Share. Bookmark. Download. Make Notes. Print - Your Favourite Questions. Joinwww.zigya.com

8. Mathematics JEE2016 Exam Year 2016 Study, Assignments, Solved Previous Year Papers .Questions and Answers. Free Forever. 26 18 5 2 Answer 28.Let be three unit vectors suchthat then theangle between 3π/4 π/2 2π/3 5π/6 Answer is If the standard deviation of the numbers 2, 3, a and 11 is 3.5, then which of thefollowing is true? 3a2−26a+55=0 3a2−32a+84=0 3a2−34a+91=0 3a2−23a+44=0 Answer The Boolean Expression (p∧~q)∨q∨(~p∧q) is equivalentto: ~p ∧ q p ∧ q p ∨q p ∨ ~ q Answer Like. Share. Bookmark. Download. Make Notes. Print - Your Favourite Questions. Joinwww.zigya.com