1
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

If $$1,\omega ,{\omega ^2}$$ are the cube roots of unity, then $$(1 + \omega )(1 + {\omega ^2})(1 + {\omega ^4})(1 + {\omega ^8})$$ is equal to

A
0
B
1
C
$$\omega$$
D
$$\omega^2$$
2
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

If $${x^x} = {y^y}$$, then $${{dy} \over {dx}}$$ is

A
$$ - {x \over y}$$
B
$$ - {y \over x}$$
C
$${{1 + \log x} \over {1 + \log y}}$$
D
$$1 + \log \left( {{x \over y}} \right)$$
3
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

The point on the curve $$y^2=x$$, the tangent at which makes an angle 45$$^\circ$$ with X-axis is

A
(1/2, 1/4)
B
(1/4, 1/2)
C
(1/2, 1/2)
D
(1/2, $$-$$1/2)
4
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

The length of the subtangent to the curve $${x^2}{y^2} = {a^4}$$ at $$( - a,a)$$ is

A
2a
B
a/2
C
a/3
D
a
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