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Category Archives: IIT JEE

IIT JEE

Let $t_i$ be the length of tangent from …

January 4, 2023 Manish Verma Leave a comment

Solution [.pdf]

IIT JEE

$4{a^2} + 9{b^2} – {c^2} + 12ab = 0$

January 3, 2023 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 Manish Verma Leave a comment

Solution [.pdf]

IIT JEE

A man is known to speak the truth …

January 1, 2023 Manish Verma Leave a comment

Solution [.pdf]

IIT JEE

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

December 31, 2022 Manish Verma Leave a comment

Solution [.pdf]

IIT JEE

$x^5+8x+1$

December 30, 2022 Manish Verma Leave a comment

Select correct option(s) with regards to tangent/normal drawn at any point on the curve $y=x^5+8x+1$.

(A) Tangent makes acute angle with x-axis
(B) Normal makes acute angle with x-axis
(C) Tangent makes obtuse angle with x-axis
(D) Normal makes obtuse angle with x-axis
(E) None of the options above as the angle made by tangent/normal with x-axis being acute/obtuse depends on the point chosen
Continue reading $x^5+8x+1$ →

IIT JEE

$\mathop {\lim }\limits_{n \to \infty } \frac{{n + 1}}{{{n^2} + {1^2}}} + \frac{{n + 2}}{{{n^2} + {2^2}}} + ……………… + \frac{1}{n}$

December 29, 2022 Manish Verma Leave a comment

Solution [.pdf]

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