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Category Archives: IIT JEE

IIT JEE

$\frac{1}{2} + \frac{3}{4} + \frac{7}{8} + \frac{{15}}{{16}} + …………..$

January 6, 2023 Engineer Manish Verma Leave a comment

Solution [.pdf]

IIT JEE

The area of a triangle is 10 sq. unit …

January 5, 2023 Engineer Manish Verma Leave a comment

Solution [.pdf]

IIT JEE

Let $t_i$ be the length of tangent from …

January 4, 2023 Engineer Manish Verma Leave a comment

Solution [.pdf]

IIT JEE

$4{a^2} + 9{b^2} – {c^2} + 12ab = 0$

January 3, 2023 Engineer Manish Verma Leave a comment

Solution [.pdf]

IIT JEE

${(2gg’ + 2ff’ – c – c’)^2} = 4({g^2} + {f^2} – c)(g{‘^2} + f{‘^2} – c’)$

January 2, 2023 Engineer Manish Verma Leave a comment

Solution [.pdf]

IIT JEE

A man is known to speak the truth …

January 1, 2023 Engineer Manish Verma Leave a comment

Solution [.pdf]

IIT JEE

${x^2} + (\sqrt 3 + 2)x + (\sqrt 3 – 1) = 0$

December 31, 2022 Engineer Manish Verma Leave a comment

Solution [.pdf]

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Physics, Math etc. by IIT Alumnus Online and Bhopal

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Blog Posts

  • ${\scriptscriptstyle 6 + f(x) = 2f( – x) + 3{x^2}\int\limits_{ – 1}^1 {f(t)dt}}$
  • $\scriptstyle f(x) = {\left( {\frac{x}{\pi }} \right)^x} + {\left( {\frac{\pi }{x}} \right)^x}$
  • $\scriptstyle \sqrt {7 – \sqrt {7 + \sqrt {7 – \sqrt {7 + …..} } } }$
  • $\scriptstyle f(x) = \int\limits_0^x {{\pi ^t}(t – e)(t – \pi )dt} $
  • $\scriptstyle 7f(x) + 5f\left( {\frac{1}{x}} \right) = x + 1$ …

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