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

A graph G has m vertices of odd degree and ‘n’ vertices of even degree. Then which of the following statements is necessarily true?

A
$$m+n$$ is an even number
B
$$m+n$$ is an odd number
C
$$m+1$$ is an odd number
D
$$n+1$$ is an even number
2
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

If p is any point on the ellipse $${{{x^2}} \over {36}} + {{{y^2}} \over {16}} = 1$$, and S and S' are the foci, then $$PS + PS' = $$

A
8
B
4
C
12
D
10
3
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

The value of $$\sin \left[ {2{{\cos }^{ - 1}}{{\sqrt 5 } \over 3}} \right]$$ is

A
$${{2\sqrt 5 } \over 3}$$
B
$${{\sqrt 5 } \over 3}$$
C
$${{2\sqrt 5 } \over 9}$$
D
$${{4\sqrt 5 } \over 9}$$
4
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

If $${{{x^2}} \over {36}} - {{{y^2}} \over {{k^2}}} = 1$$ is a hyperbola, then which of the following statements can be true?

A
(3, 1) lies on the hyperbola.
B
($$-$$3, 1) lies on the hyperbola.
C
(5, 2) lies on the hyperbola
D
(10, 4) lies on the hyperbola
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