2017 JEE Maths Solved Paper

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2. Mathematics JEE2017 Exam Year 2017 Study, Assignments, Solved Previous Year Papers .Questions and Answers. Free Forever. Multiple ChoiceQuestions 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 Thefunction neither injective nor surjective. invertible injective but not surjective. surjective but notinjective Answer The followingstatement (p → q ) → [(~p → q) → q] is afallacy a tautology equivalent to ~ p → q equivalent to p →~q Answer For any three positive real numbers a, b and c, (25a2 + b2) + 25(c2 – 3ac) = 15b(3a + c), Then b , c and a are inG.P b, c and a are in A.P a, b and c are in A.P a, b and c are inG.P Answer hyperbola passes through the point P(√2, √3) and has foci at (± 2, 0). Then the tangent to this hyperbola at P also passes through thepoint Like. Share. Bookmark. Download. Make Notes. Print - Your Favourite Questions. Joinwww.zigya.com

3. Mathematics JEE2017 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 issuch that a + b + c = 3 and f(x + y) = f(x) + f(y) + xy, ∀x,y ∈R,then 225 330 165 190 Answer is equalto Twenty meters of wire is available for fencing off a flower-bed in the form of a circularsector.Then the maximum area (in sq. m) of the flower-bed,is 30 12.5 10 25 Answer The valueof (21C – 10C ) + (21C – 10C ) + (21C – 10C ) + (21C – 10C ) + ....+ 1 1 2 2 3 3 4 4 (21C – 10C )is 10 10 220 –210 221 –211 221 –210 220 –29 Answer 9. 1/4 Like. Share. Bookmark. Download. Make Notes. Print - Your Favourite Questions. Joinwww.zigya.com

4. Mathematics JEE2017 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 different numbers are taken from the set {0, 1, 2, 3, ......., 10), then the probability that their sum, as well as absolute difference, are both multiple of 4,is 7/55 6/55 14/55 12/55 Answer For three events A, B and C, P(Exactly one of A or Boccurs) = P(Exactly one of B or Coccurs) = P(Exactly one of C or A occurs) = 1/4and P(All the three events occur simultaneously) = 1/16.Then the probability that at least one of the events occurs,is 3/16 7/32 7/16 7/64 Answer Like. Share. Bookmark. Download. Make Notes. Print - Your Favourite Questions. Joinwww.zigya.com

5. Mathematics JEE2017 Exam Year 2017 Study, Assignments, Solved Previous Year Papers .Questions and Answers. Free Forever. LetaverticaltowerABhaveitsendAonthelevelground.LetCbethemid-pointofABandPbeapointon the ground such that AP = 2AB.If ∠BPC = β , then tanβ 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 asingleton an empty set an infiniteset a finite set containing two or more elements Answer Let ω be a complex number such that 2ω +1 = z where z = √-3.if then k is equalto 1 -z z -1 Answer 17. If for x ∈ (0, 1/4) thederivatives then g(x) is equalsto Like. Share. Bookmark. Download. Make Notes. Print - Your Favourite Questions. Joinwww.zigya.com

6. Mathematics JEE2017 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 19. IfA, then adj (3A2 + 12A) is equalto 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 thepoint Answer 21. The area (in sq. units) ofthe region {(x, y} : x ≥ 0, x + y ≤ 3, x2 ≥ 4y and y ≤ 1 +√x} 5/2 Like. Share. Bookmark. Download. Make Notes. Print - Your Favourite Questions. Joinwww.zigya.com

7. Mathematics JEE2017 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 thepoint Answer 24. 1/8 25/8 2 5 Answer 25. Theintegral -1 is equalto Like. Share. Bookmark. Download. Make Notes. Print - Your Favourite Questions. Joinwww.zigya.com

8. Mathematics JEE2017 Exam Year 2017 Study, Assignments, Solved Previous Year Papers .Questions and Answers. Free Forever. -2 2 4 Answer 26.If is equalto 4/3 1/3 -2/3 -4/3 Answer 27. Let In ∫tan x dx,(n> 1) . I4 + I6 = a tan5x + bx5 + C, where C is a constant of integration, then the ordered pair (a, b) is equalto 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 thelines is Like. Share. Bookmark. Download. Make Notes. Print - Your Favourite Questions. Joinwww.zigya.com

9. Mathematics JEE2017 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, one–by–one, with replacement, then the variance of the number of green ballsdrawn is 6/25 12/5 6 4 Answer Like. Share. Bookmark. Download. Make Notes. Print - Your Favourite Questions. Joinwww.zigya.com