1
GATE CE 1995
MCQ (Single Correct Answer)
+1
-0.3
The function $$f\left( x \right) = \left| {x + 1} \right|$$ on the interval $$\left[ { - 2,0} \right]$$ is __________.
A
continuous and differentiable
B
continuous on the interval but not differentiable at all points
C
Neither continuous nor differentiable
D
Differentiable but not continuous
2
GATE CE 1995
MCQ (Single Correct Answer)
+1
-0.3
The derivative of $$f(x, y)$$ at point $$(1, 2)$$ in the direction of vector $$\overrightarrow i + \overrightarrow j $$ is $$2\sqrt 2 $$ and in the direction of the vector $$ - 2\overrightarrow j $$ is $$-3.$$ Then the derivative of $$f(x,y)$$ in direction $$ - \overrightarrow i - 2\overrightarrow j $$ is
A
$$2\sqrt 2 + 3/2$$
B
$$ - 7/\sqrt 5 $$
C
$$ - 2\sqrt 2 - 3/2$$
D
$$ 1/\sqrt 5 $$
3
GATE CE 1995
MCQ (Single Correct Answer)
+1
-0.3
The differential equation $${y^{11}} + {\left( {{x^3}\,\sin x} \right)^5}{y^1} + y = \cos {x^3}\,\,\,\,$$ is
A
homogeneous
B
non-linear
C
$$2$$nd order linear
D
non-homogeneous with constant coefficients
4
GATE CE 1995
MCQ (Single Correct Answer)
+2
-0.6
The solution of a differential equation $${y^{11}} + 3{y^1} + 2y = 0$$ is of the form
A
$${c_1}{e^x} + {c_2}{e^{2x}}$$
B
$${c_1}{e^{ - x}} + {c_2}{e^{3x}}$$
C
$${c_1}{e^{ - x}} + {c_2}{e^{ - 2x}}$$
D
$${c_1}{e^{ - 2x}} + {c_2}{2^{ - x}}$$
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12