Q) Let ℝ denote the set of all real numbers. Consider the polynomial function 𝑓:ℝ→ℝ defined by 𝑓(x)

JEE Advanced 2026 ( 17 May – Paper2 )
Q) Let ℝ denote the set of all real numbers. Consider the polynomial function 𝑓:ℝ→ℝ defined by 𝑓(x)=d^10/dx^10 ((x^2−1)^10 )," for all " x∈ℝ Here d^10/dx^10 ((x^2−1)^10 ) is the 10^"th " order derivative of the function (x^2−1)^10 Then which of the following statements is (are) TRUE ?
(A) The coefficient of 𝑥^8 in the polynomial 𝑓(𝑥) is (−10)(18!/8!)(B) The value of 𝑓(1)+𝑓(−1) is equal to 10!2^11(C) The degree of the polynomial 𝑓(𝑥) is 10(D) The constant term of the polynomial 𝑓(𝑥) is −(10!/5!)

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JEE Advanced 2026 Paper 1 (17 May) inverse trigonometry question solved with complete concept and shortcut tricks.
In this video, we discuss:

✔ Principal values of inverse trigonometric functions
✔ cot⁻¹(cot x) concept
✔ Double angle identities
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This problem is very important for:

* JEE Advanced 2027 Aspirants
* Class 11 & 12 Students
* Students preparing for IIT JEE Maths

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Видео Q) Let ℝ denote the set of all real numbers. Consider the polynomial function 𝑓:ℝ→ℝ defined by 𝑓(x) канала Shivang Maths Academy JEE