IIT JEE Mathematics 2001
- 1. IITJEE –Past papersMATHEMATICS -UNSOLVED PAPER - 2001
- 2. SECTION – ISingle Correct Answer Type
- 3. 01ProblemLet be the roots of be the roots of are in G.P., then the integral values of p and q respectively, are-2,-32-2, 3-6, 3-6, -32
- 4. Problem02Let and let m(b) be the minimum value of varies, the range of m(b) isa.b. c.d.
- 5. Problem03The number of distinct real roots of in the interval is0213
- 6. Problem04In the binomial expansion of the sum of the 5th and 6th terms is zero. Then equalsa.b.c.d.
- 7. Problem05Let denote the number of triangles which can be formed using the vertices of a regular polygon of sides. If ,then n equals 5764
- 8. Problem06Let .Then the number of onto functions from E to F is1416128
- 9. Problem07Let the positive numbers a,b,c,d be in A.P. Then abc, abd, acd, bcd are NOT in A.P./G.P./H.Pin A.P.in G.P.in H.P.
- 10. 08ProblemIf the sum of the first 2n terms of the A.P.2,5,8,…,is equal to the sum of the first n terms of the A.P.57,59,61,…,then n equals10121113
- 11. Problem09Let roots of unity which subtend a right angle at the origin. Then must be of the form a.b.c.d.
- 12. Problem10The complex numbers satisfying are the vertices of a triangle which isof area zeroright-angled isoscelesequilateralobtuse-angled isosceles
- 13. Problem11If equalsa.b.c.d.
- 14. 12ProblemThe maximum value of under the restrictions is a.b.c.d.
- 15. Problem13If ,then equalsa.b.c.d.
- 16. Problem14A man from the top of a 100 meters high tower sees a car moving towards the tower at an angle of depression of 30o.After some time, the angle of depression becomes 60o.The distance (in meters)travelled by the car during this time isa.b.c.d.
- 17. Problem15The number of integer values of m ,for which the x-coordinate of the point of intersection of the lines is also an integer, is 2041
- 18. Problem16the equation of the directory of the parabola isa.b.c.d.
- 19. 17ProblemLet PQ and RS be tangents at the extremities of the diameter PR of a circle of radius riff PS and RQ intersect at a point X on the circumference of the circle, then 2r equalsa.b.c.d.
- 20. Problem18Let AB be a chord of the circle subtending a right angle at the centre. Then the locus of the centric of the triangle PAB is P moves on the circle isa parabolaa circlean ellipsea pair of straight lines
- 21. Problem19Area of the parallelogram formed by the lines equalsa.b.c.d.
- 22. Problem20The equation of the common tangent touching the circle and the parabola above the x-axis isa.b.c.d.
- 23. Problem21The triangle formed by the tangent to the curve at the point (1,1)and the coordinate axes, lies in the first quadrant. If its area is 2, then the value of b is-13-31
- 24. Problem22The domain of definition of isa.b.c.d.
- 25. Problem23If is given by equalsa.b.c.d.
- 26. Problem24Let .Then for all is equal toa.b.c.d.
- 27. Problem25 equalsa.-πb. πc.d.1
- 28. Problem26The left-hand derivative of an integer, isa.b.c.d.
- 29. Problem27Let equals5/4 742
- 30. Problem28Let be a function defined by .The set of all points where is NOT differentiable is{-1,1}{-1,0}{0,1}{-1,0,1}
- 31. Problem29If isincreasing on decreasing on increasing on decreasing on
- 32. Problem30The value of isa.b.c.d.
- 33. Problem31Which of the following functions is differentiable at ?a.b.c.d.
- 34. Problem32The number of solutions of is3120
- 35. Problem33Let .Then ,for what value of ?√2-√21-1
- 36. Problem34If a,b, and c are unit vectors, then does NOT exceed4986
- 37. Problem35Let depends ononly x only yNEITHER x NOR y both x and y
- 38. FOR SOLUTION VISIT WWW.VASISTA.NET
Editor's Notes
- #20: .