1

GATE CSE 1998

Subjective

+2

-0

Solve the following recurrence relation

$$\,\,\,\,\,\,\,{x_n} = 2{x_{n - 1}} - 1\,\,n > 1$$

$$\,\,\,\,\,\,\,{x_1} = 2$$

2

GATE CSE 1998

MCQ (Single Correct Answer)

+2

-0.6

The rank of the matrix given below is:
$$$\left[ {\matrix{
1 & 4 & 8 & 7 \cr
0 & 0 & 3 & 0 \cr
4 & 2 & 3 & 1 \cr
3 & {12} & {24} & {2} \cr
} } \right]$$$

3

GATE CSE 1998

MCQ (Single Correct Answer)

+1

-0.3

Consider the function $$y = \left| x \right|$$ in the interval $$\left[ { - 1,1} \right]$$. In this interval, the function is

4

GATE CSE 1998

Subjective

+5

-0

(a) Find the points of local maxima and minima, if any, of the following function defined $$0 \le x \le 6.\,\,\,{x^3} - 6{x^2} + 9x + 15$$

(b) Integrate $$\,\,\,\int\limits_{ - \pi }^\pi {x\,\cos \,x\,dx} $$

Paper analysis

Total Questions

Algorithms

2

Compiler Design

2

Computer Organization

2

Data Structures

5

Database Management System

6

Discrete Mathematics

16

Operating Systems

13

Programming Languages

3

Theory of Computation

8

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