1
GATE CSE 2017 Set 2
+1
-0.3
If $$f\left( x \right)\,\,\, = \,\,\,R\,\sin \left( {{{\pi x} \over 2}} \right) + S.f'\left( {{1 \over 2}} \right) = \sqrt 2$$ and $$\int_0^1 {f\left( x \right)dx = {{2R} \over \pi }} ,$$ then the constants $$R$$ and $$S$$ are respectively.
A
$${{2 \over \pi }}$$ and $${{16 \over \pi }}$$
B
$${{2 \over \pi }}$$ and $$0$$
C
$${{4 \over \pi }}$$ and $$0$$
D
$${{4 \over \pi }}$$ and $${{16 \over \pi }}$$
2
GATE CSE 2017 Set 2
Numerical
+1
-0
Consider a quadratic equation $${x^2} - 13x + 36 = 0$$ with coefficients in a base $$b.$$ The solutions of this equation in the same base $$b$$ are $$x=5$$ and $$x=6$$. Then $$b=$$ ______.
3
GATE CSE 2016 Set 2
Numerical
+1
-0
Let $$f(x)$$ be a polynomial and $$g\left( x \right) = f'\left( x \right)$$ be its derivative. If the degree of $$\left( {f\left( x \right) + f\left( { - x} \right)} \right)$$ is $$10,$$ then the degree of $$\left( {g\left( x \right) - g\left( { - x} \right)} \right)$$ is ___________.
4
GATE CSE 2016 Set 1
Numerical
+1
-0
$$\mathop {\lim }\limits_{x \to 4} {{\sin \left( {x - 4} \right)} \over {x - 4}} = \_\_\_\_\_\_\_.$$
GATE CSE Subjects
Discrete Mathematics
Programming Languages
Theory of Computation
Operating Systems
Digital Logic
Computer Organization
Database Management System
Data Structures
Computer Networks
Algorithms
Compiler Design
Software Engineering
Web Technologies
General Aptitude
EXAM MAP
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