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IITJEE –Past papers MATHEMATICS - UNSOLVED PAPER - 1990
SECTION – I Single Correct Answer Type There are 8 parts in this question. Four choices are given for each part and only one of them is correct.
01 Problem The equation                                                       in the variable x, has real roots. Then p can take any value in the interval a.(0,2π) b.(- π,0) c.(- π /2, π /2) d.(0, π)
Problem 02 In a triangle ABC, angle A is greater than angle B. If the measures of angles A and B satisfy the equation                                                    then the measure of angle C is a. b. c. d.
Problem 03 The number of real solutions of the equation is 0 1 2 infinitely many
Problem 04 Line L has intercepts a and b on the coordinate axes. When the axes are rotated through a given angle, keeping the origin fixed ,the same line L has intercepts p and q. Then a. b. c. d.
Problem 05 Let                 be a differentiable function and f(1)=4.Then the value of                      is a. 8f’(1) b. 4f’(1) c. 2f’(1) d. f’(1)
Problem 06 Let                                     be continuous functions. Then the value of the integral                                                             is π 1 -1 0
Problem 07 Let f(x) be a quadratic expression which is positive for all real x .If g(x)=f(x)+f’(x)+ f”(x)   ,than for any real x, a. b. c. d.
08 Problem The  number log2 7 is an integers a rational number an irrational number a prime number
SECTION – I Fill in the blanks This question contains 5 incomplete statements. In each part, fill in the blanks so that the resulting statement is correct .
Problem 01 If                                        ,       then          _________ = for x=20
Problem 02                               _________
Problem 03 If                                                                      then A=________ ,B=_______,C=_____ .
04 Problem Let A and B be two events such that P(A)=0.3 and                   0.8.IfA and B are independent events, than p(B)= __________ .
Problem 05 If                                                                ,     then ________, and ________
FOR SOLUTION VISIT WWW.VASISTA.NET

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IIT JEE Mathematics 1990

  • 1. IITJEE –Past papers MATHEMATICS - UNSOLVED PAPER - 1990
  • 2. SECTION – I Single Correct Answer Type There are 8 parts in this question. Four choices are given for each part and only one of them is correct.
  • 3. 01 Problem The equation in the variable x, has real roots. Then p can take any value in the interval a.(0,2π) b.(- π,0) c.(- π /2, π /2) d.(0, π)
  • 4. Problem 02 In a triangle ABC, angle A is greater than angle B. If the measures of angles A and B satisfy the equation then the measure of angle C is a. b. c. d.
  • 5. Problem 03 The number of real solutions of the equation is 0 1 2 infinitely many
  • 6. Problem 04 Line L has intercepts a and b on the coordinate axes. When the axes are rotated through a given angle, keeping the origin fixed ,the same line L has intercepts p and q. Then a. b. c. d.
  • 7. Problem 05 Let be a differentiable function and f(1)=4.Then the value of is a. 8f’(1) b. 4f’(1) c. 2f’(1) d. f’(1)
  • 8. Problem 06 Let be continuous functions. Then the value of the integral is π 1 -1 0
  • 9. Problem 07 Let f(x) be a quadratic expression which is positive for all real x .If g(x)=f(x)+f’(x)+ f”(x) ,than for any real x, a. b. c. d.
  • 10. 08 Problem The number log2 7 is an integers a rational number an irrational number a prime number
  • 11. SECTION – I Fill in the blanks This question contains 5 incomplete statements. In each part, fill in the blanks so that the resulting statement is correct .
  • 12. Problem 01 If , then _________ = for x=20
  • 13. Problem 02 _________
  • 14. Problem 03 If then A=________ ,B=_______,C=_____ .
  • 15. 04 Problem Let A and B be two events such that P(A)=0.3 and 0.8.IfA and B are independent events, than p(B)= __________ .
  • 16. Problem 05 If , then ________, and ________
  • 17. FOR SOLUTION VISIT WWW.VASISTA.NET