If is equal to (A) 4 (B) –8 (C) –4 (D) 8 Solution: Tip for solving this question: Simplify the limit Find value of Step 1 of 3: Given, On rationalisation, we get Step 2 of 3: In Here, Now, Here, Step 3 of 3: Now, Final Answer: Hence, Option (C) is correct.

## Number of elements where n belongs to N and Sn Intersection Tn is phi

For , Let and Then the number of elements in the set is (A) 0 (B) 2 (C) 3 (D) 4 Solution: Tip for solving this question: Firstly Identify the given sets According to the set type, apply intersection properties to find no. of elements. Step 1 of 2: Let z = x + iy […]

## α^2021 + β^2021 + γ^2021 + δ^2021 for x^4 + x^3 + x^2 + x + 1 = 0

JEE Mains 2022 July 25th Shift 1 Mathematics Question Paper Solution to α^2021 + β^2021 + γ^2021 + δ^2021 for x^4 + x^3 + x^2 + x + 1 = 0

## The total number of functions, f: {1, 2, 3, 4} → {1, 2, 3, 4, 5, 6} such that f(1) + f(2) = f(3), is equal to

The total number of functions, f: {1, 2, 3, 4} → {1, 2, 3, 4, 5, 6} such that f(1) + f(2) = f(3), is equal to (A) 60 (B) 90 (C) 108 (D) 126 Solution: Tip for solving this question: First, find f(3) at different values. Calculate the number of ways at different values […]

## For theta Belonging to 0, 4Pi the linear equations with no solutions

The number of for which the system of linear equations has no solution, is (A) 6 (B) 7 (C) 8 (D) 9 Solution: Tip for solving this question: By converting linear equations into matrix form, find the determinant of the matrix. Also, check out What is Determinant of Matrix in detail here. Then using properties […]