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![Problem10If thenf(x) is increasing on [-1,2]f(x) is continuous on [-1,3]f’(2) does not existf(x) has the maximum value at x=2](https://image.slidesharecdn.com/mathematics-1993-110923042401-phpapp02/85/IIT-JEE-Mathematics-1993-12-320.jpg)
IIT JEE Mathematics 1993
- 1. IITJEE –Past papersMATHEMATICS - UNSOLVED PAPER - 1993
- 2. SECTION – ISingle Correct Answer TypeThere are 6 parts in this question. Each part has exactly one correct answer.
- 3. 01ProblemThe locus of the centre of a circle which touches eternally the circle and also touches the y-axis is given by the equationa.b.c.d.
- 4. Problem02Let a,b,c be distinct non-negative number. If the vectors lie in a plane, then c isthe arithmetic mean of a and bthe geometric mean of a and b the harmonic mean of and b equal to zero
- 5. Problem03Number of solutions of the equation lying in the interval [0,2π], is0123
- 6. Problem04Let denote the greatest integer function and .Then,a. does not existb. is continuous at c. is not differentiable at d.
- 7. Problem05The value of is01π/2π /4
- 8. Problem06An unbiased die with faces marked 1,2,3,4,5 and 6 is rooled four times .Out of four face values obtained, the probability that the minimum face value is not less than 2 and the maximum face value is not greater than 5 is16/811/8180/8165/81
- 9. Problem07Let E and F be two independent events. The probability that both E and F happen is ½ and the probability that neither E not F happens is 1/12.Then.P(E)=1/3,P(F)=1/4P(E)=1/2,P(F)=1/6P(E)=1/6,P(F)=1/2P(E)=1/4,P(F)=1/3
- 10. 08ProblemLet be there vectors. A vector in plane of b and c whose project on a is of magnitudea.b.c.d.
- 11. Problem09For ,if then,a. xyz=xz+yb. xyz=xy+zc. xyz=x+y+zd. xyz=yz+x
- 12. Problem10If thenf(x) is increasing on [-1,2]f(x) is continuous on [-1,3]f’(2) does not existf(x) has the maximum value at x=2
- 13. SECTION – IFill in the blanksThis question has 8 parts and each part consists of an incomplete statement, Fill in the blanks so that each of the resulting statements is correct.
- 14. Problem01If in a trinagle ABC then the value of the angle A is____________ degrees.
- 15. 02ProblemABCD is rhombus. Its diagonals AC and B intersect at the point M and satisfy BD=2AC.If the points D and M represent the complex numbers respectively, the A represents the complex number_________ or________ .
- 16. Problem03If ,then the numerical value of_______.
- 17. Problem04The vertices of a triangle are .The equation of the bisector of the angle is___________.
- 18. Problem15If ,then the maximum value of is __________.
- 19. Problem06The value of is___________.
- 20. 07ProblemFor positive numbers ,the numerical value of the determinant is ________.
- 21. Problem08The equation of the locus of the midpoints of the chords of the circle that subtends an angle of at its centre is________.
- 22. FOR SOLUTION VISIT WWW.VASISTA.NET
Editor's Notes
- #21: .