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Question : If $\frac{x^2-1}{x}=8$, then what is the value of $\frac{x^6-1}{x^3}=?$

Option 1: 496

Option 2: 536

Option 3: 512

Option 4: 488

Team Careers360 17th Jan, 2024

Correct Answer: 536


Solution : Given: $\frac{(x^{2} - 1)}{x} = 8$
⇒ $x - \frac{1}{x} = 8$
Cubing on both sides,
⇒ $x^{3}- \frac{1}{x^{3}} - 3 \times x \times \frac{1}{x} \times (x - \frac{1}{x})= (8)^3$ [Since, $(a - b)^{3} = a^{3} - b^{3} - 3ab (a - b)$]
⇒ $x^{3}-

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Question : The equation of the line if its slope is $-\frac{3}{7}$ and it passes through the point (5, 2) is:

Option 1: $3x+7y=29$

Option 2: $3x-7y=1$

Option 3: $3x+7y=1$

Option 4: $3x-7y=29$

Team Careers360 11th Jan, 2024

Correct Answer: $3x+7y=29$


Solution : To find: Equation of the line with slope $-\frac{3}{7}$that passes through the point (5, 2).
The equation of a line passing through $(x, y)$ is $y=mx+c$, where $m$ is the slope and $c$ is the y-intercept.
Here, $m=-\frac{3}{7}$ and $(x, y)=(5,2)$
$⇒ 2=-\frac{3}{7}×5+c$
$⇒ c=\frac{15}{7}+2$

35 Views

subjects of bachelor of international business.

Sajal Trivedi 28th Oct, 2023

Hello aspirant,

Under the management area, international business is a specialisation that deals with transnational or worldwide trade in capital, knowledge, technology, and products and services.


The study of international business focuses on the business transactions that facilitate the transfer of commodities across nations, as well as the establishment and

47 Views

Can I get admission without jee mains in btech cse and admission based on percentage of class 12th is available for btech cse

ayanmukherjee045 16th Sep, 2023

Hello Aspirant,

One of the good universities which gives direct admission on the basis of 12th scores is Thapar University. But the percentage you need would be very high . Atleast 95+ percentage would fetch you good branch in this college.

On the other hand , there is Sastra University

25 Views

CAN A NEET repeater along withClass 12th Repeater give NEET 2024??

shivamtrivedi0005 20th Aug, 2023

I hope you are doing great.

If an individual meets the NEET eligibility requirements in terms of subjects and other criteria, such as completing their 12th grade education through a regular school, they can participate in NEET 2018.

It's worth noting that, following a Supreme Court ruling, candidates from NIOS,

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