The function $(x^2 - 9)|x^2 - 7x + 12| + \cos(|x|)$ is not differentiable at

1

Which statement is true for the line $\frac{x - 4}{8} = \frac{y - 2}{2} = \frac{z - 3}{3}$ and plane having intercepts …

Topic: AMU MCA 2018

2

Let * be a binary operation on the set $R$ of real numbers defined by $ a * b = \frac{3ab}{7} $, then the identity elem…

Topic: AMU MCA 2018

3

The value of $ \sin(2\sin^{-1} 0.8) $ is

Topic: AMU MCA 2018

4

Let $ f(x) = x^3 + x $, then the equation $ \frac{2}{y - f(2)} + \frac{3}{y - f(3)} + \frac{4}{y - f(4)} = 0 $ has

Topic: AMU MCA 2018

5

The shortest distance between the parabolas $ 2y^2 = 2x - 1 $, $ 2x^2 = 2y - 1 $ is

Topic: AMU MCA 2018

6

The image of the point $ (1, -1, 1) $ in the plane $ x - 2y + 3z + 1 = 0 $ is

Topic: AMU MCA 2018

7

Let $R$ and $S$ be any two equivalence relations on a set $X$. Then which of the following is incorrect statement

Topic: AMU MCA 2018

8

If $g(x)=x^2+x-2$ and $\frac{1}{2}(g \circ f)(x)=2x^2-5x+2$, then $f(x)$ is equal to

Topic: AMU MCA 2018

9

The graph $y^2+2xy+50|x|=625$ divides the plane into regions. Then, the area of bounded regions is

Topic: AMU MCA 2018

10

If four whole numbers taken at random are multiplied together, then the probability that the last digit in the product …

Topic: AMU MCA 2018