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11. Given the following sets: A = {2, 4, 6, 8, 10, 12} B = {8, 10, 12, 14, 16, 18} C = {7, 8, 9, 10, 11, 12, 13} […]

10. Given that A = (sin θ cos θ tan θ + sin θ cos θ cot θ) the value of A is ______. Find the Value of A = […]

9. The smallest positive (non-zero) integer “n” for which the expression ((1 + i)/(1 − i))n = 1 holds true is ______. Smallest Positive Integer n for Which ((1 + […]

8. The average of all positive even integers less than or equal to 40 is ___. Average of All Positive Even Integers Less Than or Equal to 40 Understanding the […]

7. A deck of ten cards is given to you as shown below in the figure. One card is drawn at random from this deck. The probability of selecting a […]

6. The equation sin(θ/2) [sin(θ/2) + cos(θ/2)] = β has a solution, where β is a natural number. Then β is ______. Find β in the Equation sin(θ/2)(sin(θ/2) + cos(θ/2)) […]

5. The distance between the parallel lines 2x + 5y = 7 and 2x + 5y = 15 is ______ (rounded off to 2 decimals). Distance Between the Parallel Lines […]

4. A function f : D → ℝ is defined as f(x) = x2 + 1 x2 + x + 1 where D ⊆ ℝ is the domain. The domain(s) […]

3. The value of the integral ∫04 (x − f(x)) dx where the function f(x) is defined as: f(x) = ⎧ 0,   0 ≤ x < 1 ⎪ 1, […]

2. If x + 1/x = 1, then the value of x6 + 1/x6 is: (A) −2 (B) −1 (C) 1 (D) 2 If x + 1/x = 1, Find […]