1
GATE ECE 2015 Set 1
Numerical
+2
-0
The maximum area (in square units) of a rectangle whose vertices lie on the ellipse $${x^2} + 4{y^2} = 1\,\,$$ is
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2
GATE ECE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Which one of the following graphs describes the function? $$f\left( x \right) = {e^{ - x}}\left( {{x^2} + x + 1} \right)\,?$$
A
GATE ECE 2015 Set 1 Engineering Mathematics - Calculus Question 22 English Option 1
B
GATE ECE 2015 Set 1 Engineering Mathematics - Calculus Question 22 English Option 2
C
GATE ECE 2015 Set 1 Engineering Mathematics - Calculus Question 22 English Option 3
D
GATE ECE 2015 Set 1 Engineering Mathematics - Calculus Question 22 English Option 4
3
GATE ECE 2014 Set 4
MCQ (Single Correct Answer)
+2
-0.6
For a right angled triangle, if the sum of the lengths of the hypotenuse and a side is kept constant, in order to have maximum area of the triangle, the angle between the hypotenuse and the side is
A
$${12^ \circ }$$
B
$${36^ \circ }$$
C
$${60^ \circ }$$
D
$${45^ \circ }$$
4
GATE ECE 2014 Set 3
Numerical
+2
-0
The maximum value of $$f\left( x \right) = 2{x^3} - 9{x^2} + 12x - 3$$
in the interval $$\,0 \le x \le 3$$ is __________.
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