Engineering and Architecture
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
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}-
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: $3x-7y=29$
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 $(x, y)=(5,2)$ $⇒ 2=-\frac{3}{7}×5+c$ $⇒ c=\frac{15}{7}+2$
Question : Assertion: The MGNREGA programme supports entrepreneurs in the technology sector through funding and mentorship.
Reason: It aims to promote innovation and entrepreneurship across all sectors of the economy.
Option 1: Both assertion and reason are true, and the reason correctly explains the assertion.
Option 2: Both assertion and reason are true, but the reason does not correctly explain the assertion.
Option 3: The assertion is true, but the reason is false.
Option 4: The assertion is false and the reason is false.
Correct Answer: The assertion is false and the reason is false.
Solution : The correct answer is (d) The assertion is false, and the reason is also false.
The Mahatma Gandhi National Rural Employment Guarantee Act (MGNREGA) is a social welfare program in India that guarantees 100 days of wage
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
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
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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