This 3 sentence summary provides the high level information about the document: The document is an unsolved mathematics paper from 1992 that contains 10 multiple choice problems testing concepts related to circles, lines, functions, probabilities, and sets. The first section has 5 blank statements to be completed, and the second section has 5 problems each with more than one potential correct answer. The document provides an unsolved practice test to help prepare for the IITJEE entrance examination.

1. IITJEE –Past papers MATHEMATICS - UNSOLVED PAPER - 1992

2. SECTION – I Fill in the blanks This question contains five incomplete statements. Determine your answer to be inserted in the blanks so that the statements are complete.

3. 01 Problem If a circle passes through points of intersection of the coordinate axes with the lines then the value of λ is ….

4. Problem 02 Let the algebraic sum of the perpendicular distances from the points (2,0),(),2) and (1,1) to a variable straight line be zero: then the line passes through a fixed point whose coordinates are…

5. Problem 03 The value of is equal to ….

6. Problem 04 Given that …….

7. Problem 05 If the mean and the variance of a binomial variety X are 2 and1 respectively, then the probability that X takes a value greater than one is equal to….

8. SECTION – II Multiple correct answer This question contains five parts. Each part has one or more than one correct answer.

9. Problem 06 The product of n positive number is unity. They their sum is a positive integer divisible by n equal to never less than n

10. Problem 07 The value of 1 -1 0 none of these

11. 08 Problem The following functions are continuous on (0,π) a. b. c. d.

12. Problem 09 If stands for the greatest integer function, then a. b. c. d.

13. Problem 10 for any two events A and B in a simple space is always true. does not hold. if A and B are independent. if A and B are disjoint.

14. FOR SOLUTION VISIT WWW.VASISTA.NET