![SECTION – ISingle Correct Answer TypeThis section contains 25 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct.01ProblemLet is a unit vector, then the maximum value of the scalar triple product is]a.b.c.d.](https://image.slidesharecdn.com/mathematics-2002-110924000209-phpapp01/85/IIT-JEE-Mathematics-2002-2-320.jpg)
IIT JEE Mathematics 2002
- 1. IIT JEE –Past papersMATHEMATICS - UNSOLVED PAPER - 2002
- 2. SECTION – ISingle Correct Answer TypeThis section contains 25 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct.01ProblemLet is a unit vector, then the maximum value of the scalar triple product is]a.b.c.d.
- 3. Problem02If a and b are two unit vectors such that a+2b and 5a-4b are perpendicular to each other then the angle between a and b isa.b.c.d.
- 4. Problem03The integral equalsa.b. 0c. 1d.
- 5. Problem04Let T>0 be a fixed real number .Suppose f is a continuous function such that for all then the value of isa.b.c.d.
- 6. Problem05Let . Then the real roots of the equationa.b.c.d.
- 7. Problem06Let . Then the value of the determinant isa.b.c.d.
- 8. Problem07For all complex numbers ,the minimum value of is02717
- 9. 08ProblemIf are positive real numbers whose product is a fixed number cither the minimum value of isa.b.c.d.
- 10. Problem09Suppose a,b,c are in A.P. and are in G.P.If a<b<c and ,then the value of a isa.b.c.d.
- 11. Problem10The number of arrangements of the letters of the word BANANA in which the two ‘N’ s do not appear adjacently is40880100
- 12. Problem11The number of integral values of k for which the equation has a solution is 481012
- 13. 12ProblemWhich of the following pieces of data does NOT uniquely determine an acute-angled triangle ABC (R being the radius of the circumcircle)?a.b.c.d.
- 14. Problem13The length of a longest interval in which the function is increasing, isa.b.c.d.
- 15. Problem14The set of all real numbers for which isa.b.c.d.
- 16. Problem15The number of values of k for which the system of equations has infinitely many solutions is012infinite
- 17. Problem16The is maximum when m is5101520
- 18. 17ProblemLet be a fixed angle.If and is obtained from by clockwise rotation around origin through an angle anticlockwise rotation around origin through an angle reflection in the line through origin with slope reflection in the line through origin with slope
- 19. Problem18Let be three points. Then the equation of the bisector of the angle PQR isa.b.c.d.
- 20. Problem19A straight line through the origin O meets the parallel lines at points P and Q respectively. Then the point O divides the segment PQ in the ratio1 : 23 : 42 : 14 : 3
- 21. Problem20If the tangent at the point Pon the circle meets the straight line at a point Q on the y-axis,then the length of PQ is45
- 22. Problem21Let function be defined by .Then isone-to-one and ontoone-to-one but NOT ontoonto but NOT one-to-one neither one-to-one nor onto
- 23. Problem22Suppose is the function whose graph is the reflection of the graph of with respect to the line equalsa.b.c.d.
- 24. Problem23The area bounded by the curves is124
- 25. Problem24The locus of the mid-point of the line segment joining the focus to a moving point on the parabola is another parabola with directory a.b.c.d.
- 26. Problem25.If then the positive value of m for which is a common tangent to isa.b.c.d.
- 27. Problem26The domain of the derivative of the function isa.b.c.d.
- 28. Problem27The integer n for which is a finite non-zero number is1234
- 29. Problem28Let such that equals1
- 30. Problem29The point (s)on the curve where the tangent is vertical ,is (are)a.b.c.d.
- 31. Problem30The equation of the common tangent to the curves isa.b.c.d.
- 32. FOR SOLUTION VISIT WWW.VASISTA.NET
Editor's Notes
- #20: .