1
TS EAMCET 2020 (Online) 11th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $\frac{x-4}{1}=\frac{y-2}{1}=\frac{z-7}{2}$ lies in the plane $a x+b y+z=7$, then $a+b=$

A

-2

B

3

C

5

D

7

2
TS EAMCET 2020 (Online) 11th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$\mathop {\lim }\limits_{x \to 0} \frac{1-\cos (1-\cos x)}{\sin ^4 x}= $$

A

$1 / 2$

B

$1 / 4$

C

$1 / 6$

D

$\frac{1}{8}$

3
TS EAMCET 2020 (Online) 11th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

At $x=0, f(x)=\left\{\begin{array}{l}\frac{x}{|x|+2 x^2}, x \neq 0 \\ k, \quad x=0\end{array}\right.$ is

A

Continuous only when $k=0$

B

Discontinuous only when $k=0$

C

Continuous for all values of $k$

D

Discontinuous for all real values of $k$

4
TS EAMCET 2020 (Online) 11th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

Match the functions of List-I with derivates given in List-II

$$
\text { List-I }
$$
$$
\text { List-II }
$$
A. $$
\sec ^{-1} x
$$
I. $$
\frac{1}{1-x^2}, x \in(-1,1)
$$
B. $$
\tanh ^{-1} x
$$
II. $$
\frac{-1}{|x| \sqrt{x^2+1}}, x \neq 0
$$
C. $$
\operatorname{coth}^{-1} x
$$
III. $$
\frac{1}{|x| \sqrt{x^2-1}},|x|>1
$$
D. $$
\operatorname{cosech}^{-1} x
$$
IV. $$
\frac{1}{1-x^2}, x \in \mathbf{R}-[-1,1]
$$
V. $$
\frac{-1}{|x| \sqrt{1-x^2}},|x|<1, x \neq 0
$$
A
A B C D
V II I III
B
A B C D
I III V II
C
A B C D
III I II V
D
A B C D
III I IV II

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