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} […]
Tag: IIT JAM Biotechnology Previous Year Question paper Topic Wise
Tag: IIT JAM Biotechnology Previous Year Question paper Topic Wise
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Find the Value of A = sin θ cos θ tan θ + sin θ cos θ cot θ
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- July 8, 2026
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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 = […]
Smallest Positive Integer n for ((1 + i)/(1 – i))^n = 1
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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 + […]
Average of All Positive Even Integers Less Than or Equal to 40
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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 […]
Probability of Selecting a Number Less Than 9 from a Deck
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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 […]
Find β in the Trigonometric Equation
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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)) […]
Distance Between Parallel Lines 2x + 5y = 7 and 2x + 5y = 15
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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 […]
Domain on Which f(x) = (x² + 1)/(x² + x + 1) Is One-to-One
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- July 7, 2026
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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) […]
Evaluate ∫₀⁴(x − f(x)) dx for a Piecewise Function
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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, […]
If x + 1/x = 1, Find x⁶ + 1/x⁶
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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 […]


