1
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

The coefficients a, b and c of the quadratic equation, $$ax^2+bx+c=0$$ are obtained by throwing a dice three times. The probability that this equation has equal roots is

A
$$\frac{1}{72}$$
B
$$\frac{5}{216}$$
C
$$\frac{1}{36}$$
D
$$\frac{1}{54}$$
2
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

$${8^{3{{\log }_8}5}}$$ is equal to

A
$${\log _8}25$$
B
120
C
125
D
$${\log _8}15$$
3
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

The equation of normal to the curve $$y = {(1 + x)^y} + {\sin ^{ - 1}}({\sin ^2}x)$$ at $$x = 0$$ is

A
$$x + y = 1$$
B
$$x - y = 1$$
C
$$x + y = - 1$$
D
$$x - y = - 1$$
4
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

If $$L = \mathop {\lim }\limits_{x \to 0} {{a - \sqrt {{a^2} - {x^2}} - {{{x^2}} \over 4}} \over {{x^4}}},a > 0$$. If L is finite, then

A
$$a = 2$$
B
$$a = 1$$
C
$$a = {1 \over 3}$$
D
None of these
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