Correct Answer: $\pm\frac{2}{\sqrt{5}}$

Solution : Given: $x-\frac{1}{x}=1$
$⇒x^{2}-1=x$
$⇒x^{2}+1=x+2$
$\left (\frac{1}{x-1}-\frac{1}{x+1}+\frac{1}{x^{2}+1}-\frac{1}{x^{2}-1} \right)$
$=(\frac{2}{x^{2}-1}+\frac{1}{x^{2}+1}-\frac{1}{x^{2}-1})$
$=(\frac{1}{x^{2}-1}+\frac{1}{x^{2}+1})$
$=(\frac{2x^{2}}{(x^{2}-1)(x^{2}+1)})$
Using $x^{2}-1=x$ and $x^{2}+1=x+2$, we get,
$=(\frac{2x^{2}}{(x)(x+2)})$
$=\frac{2x}{x+2}$
Solving $x^{2}-x-1=0$, we get $x=\frac{1\pm\sqrt{5}}{2}$
So, $x+2=\frac{5\pm\sqrt{5}}{2}$
When $x=\frac{1+\sqrt{5}}{2}$, $\frac{2x}{x+2}=\frac{2}{\sqrt{5}}$
When $x=\frac{1-\sqrt{5}}{2}$, $\frac{2x}{x+2}=-\frac{2}{\sqrt{5}}$
Hence, the correct answer is $\pm\frac{2}{\sqrt{5}}$.

Correct Answer: Eucalyptus

Solution : The correct option is Eucalyptus.

The Eucalyptus tree is the most widely employed tree species in social forestry. Because of its rapid growth and numerous applications, including timber, pulpwood, and medicinal characteristics, it is frequently planted in social forestry programmes.

Correct Answer: –1

Solution : Given: $\sin^2\theta = \cos^3\theta$
Squaring both sides,
⇒ $\sin^4\theta = \cos^6\theta$ -------------(i)
Now, $(\cot^2\theta-\cot^6\theta)$
= $\cot^2\theta - \frac{\cos^6 \theta}{\sin^6 \theta}$
= $\cot^2\theta -\frac{\sin^4 \theta}{\sin^6 \theta}$ [From equation (i)]
= $\cot^2\theta -\frac{1}{\sin^2 \theta}$
= $\cot^2\theta - \operatorname{cosec}^2\theta$
= $-1$
Hence, the correct answer is –1.

Correct Answer: $10$%

Solution : Given: The marked price of a CD is Rs. 250 and the selling price is Rs. 225.
Discount price = 250 – 225 = Rs. 25
Discount percentage = $ \frac{\text{Discount}}{\text{Marked price}}\times 100=\frac{25}{250}\times 100=10\%$
Hence, the correct answer is $10$%.

Correct Answer: 1

Solution : The correct choice is the first option.

Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active voice becomes the subject in the passive voice.

The structure of

Correct Answer: U26L

Solution : Given:
S16H, T13J, ?, V23N, W46P

Add 1 to the positional value of the first letter and subtract 3 from the positional value of the third letter, subtract 3 and multiply 2 alternatively to the numbers – 
S16H→S + 1 = T; 16 – 3

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Bachelor of technology in Artificial intelligence is a four years undergraduate program.

The course deals with advanced learning that provides knowledge of advanced technologies like machine learning etc. It also provides deep learning and artificial cognition.

Eligibility for b tech in AI - Thr student must have passed

Correct Answer: Encouraging private sector participation

Solution : The correct answer is (a) Encouraging private sector participation

The Telecommunication Policy of 1999 aimed to encourage private sector participation in the telecommunications sector in India. It marked a significant shift from the previous policy regime, which had a state monopoly on