1
GATE CE 2008
MCQ (Single Correct Answer)
+1
-0.3
The following system of equations $$$x+y+z=3,$$$ $$$x+2y+3z=4,$$$ $$$x+4y+kz=6$$$
will not have a unique solution for $$k$$ equal to
A
$$0$$
B
$$5$$
C
$$6$$
D
$$7$$
2
GATE CE 2008
MCQ (Single Correct Answer)
+1
-0.3
Three values of $$x$$ and $$y$$ are to be fitted in a straight line in the form $$y=a+bx$$ by the method of least squares. Given $$\,\,\,\sum x = 6,\,\,\sum y = 21,\,\,\sum {{x^2} = 14,\,\,\sum {xy} = 46,\,\,\,\,} $$ the values of $$a$$ and $$b$$ are respectively
A
$$2, 3$$
B
$$1, 2$$
C
$$2, 1$$
D
$$3,2$$
3
GATE CE 2008
MCQ (Single Correct Answer)
+2
-0.6
If the interval of integration is divided into two equal intervals of width $$1.0,$$ the value of the definite integral $$\,\,\int\limits_1^3 {\log _e^x\,\,dx\,\,\,\,} $$ using simpson's one $$-$$ third rule will be
A
$$0.5$$
B
$$0.80$$
C
$$1.00$$
D
$$0.29$$
4
GATE CE 2008
MCQ (Single Correct Answer)
+1
-0.3
The Newton-Raphson iteration $${x_{n + 1}} = {1 \over 2}\left( {{x_n} + {R \over {{x_n}}}} \right)$$ can be used to compute
A
square of $$R$$
B
reciprocal of $$R$$
C
square root of $$R$$
D
logarithm of $$R$$
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12