1
GATE ME 1995
MCQ (Single Correct Answer)
+1
-0.3
Among the following, the pair of vectors orthogonal to each other is
A
$$\left[ {3,4,7} \right],\left[ {3,4,7} \right]$$
B
$$\left[ {1,0,0} \right],\left[ {1,1,0} \right]$$
C
$$\left[ {1,0,2} \right],\left[ {0,5,0} \right]$$
D
$$\left[ {1,1,1} \right],\left[ { - 1, - 1, - 1} \right]$$
2
GATE ME 1995
MCQ (Single Correct Answer)
+1
-0.3
The area bounded by the parabola $$2y = {x^2}$$ and the lines $$x=y-4$$ is equal to _________.
A
$$6$$
B
$$18$$
C
$$\infty $$
D
None
3
GATE ME 1995
MCQ (Single Correct Answer)
+1
-0.3
If $$\overrightarrow V $$ is a differentiable vector function and $$f$$ is sufficienty differentiable scalar function then curl $$\left( {f\overrightarrow V } \right) = $$ _______.
A
$$\left( {grad\,f} \right) \times \overrightarrow V + \left( {f\,curl\,\overrightarrow V } \right)$$
B
$$\overrightarrow O $$
C
$${f\,curl\,\overrightarrow V }$$
D
$$\left( {grad\,f} \right) \times \overrightarrow V $$
4
GATE ME 1995
MCQ (Single Correct Answer)
+1
-0.3
The solution to the differential equation $$\,{f^{11}}\left( x \right) + 4{f^1}\left( x \right) + 4f\left( x \right) = 0$$
A
$${f_1}\left( x \right) = {e^{ - 2x}}$$
B
$${f_1}\left( x \right) = {e^{2x}},\,\,{f_2}\left( x \right) = {e^{ - 2x}}$$
C
$${f_1}\left( x \right) = {e^{ - 2x}},\,\,{f_2}\left( x \right) = x{e^{ - 2x}}$$
D
$${f_1}\left( x \right) = {e^{ - 2x}},\,\,{f_2}\left( x \right) = {e^{ - x}}$$
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