1
GATE ME 2007
MCQ (Single Correct Answer)
+1
-0.3
The minimum value of function $$\,\,y = {x^2}\,\,$$ in the interval $$\,\,\left[ {1,5} \right]\,\,$$ is
A
$$0$$
B
$$1$$
C
$$25$$
D
undefined
2
GATE ME 2007
MCQ (Single Correct Answer)
+2
-0.6
If $$\,\,\,y = x + \sqrt {x + \sqrt {x + \sqrt {x + .....\alpha } } } \,\,\,$$ then $$y(2)=$$ __________.
A
$$4$$ (or) $$1$$
B
$$4$$ only
C
$$1$$ only
D
Undefined
3
GATE ME 2007
MCQ (Single Correct Answer)
+2
-0.6
$$\mathop {Lim}\limits_{x \to 0} {{{e^x} - \left( {1 + x + {{{x^2}} \over 2}} \right)} \over {{x^3}}} = $$
A
$$0$$
B
$${1 \over 6}$$
C
$${1 \over 3}$$
D
$$1$$
4
GATE ME 2007
MCQ (Single Correct Answer)
+2
-0.6
The area of a triangle formed by the tips of vectors $$\overrightarrow a ,\overrightarrow b $$ and $$\overrightarrow c $$ is
A
$${1 \over 2}\left( {\overrightarrow a - \overrightarrow b } \right) \bullet \left( {\overrightarrow a - \overrightarrow c } \right)$$
B
$${1 \over 2}\left| {\left( {\overrightarrow a - \overrightarrow b } \right) \times \left( {\overrightarrow a - \overrightarrow c } \right)} \right|$$
C
$${1 \over 2}\left| {\overrightarrow a \times \overrightarrow b \times \overrightarrow c } \right|$$
D
$${1 \over 2}\left( {\overrightarrow a \times \overrightarrow b } \right) \bullet \overrightarrow c $$
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