Class 12th math notes
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| 6 | Q10/10: The radius of a circle increases at 3 cm/s. Find the rate of increase of its area when the radius is 10 cm. | 1 620 |
| 7 | Q9/10: If y = e^(3x), find d^2y/dx^2. | 1 480 |
| 8 | Q8/10: If f(x) = sin(x^2), what is the derivative of f(x) with respect to x? | 1 298 |
| 9 | Q7/10: An urn contains 5 red and 5 black balls. A ball is drawn, replaced, and 2 more balls of its colour are added. A second ball is then drawn. The probability it is red is: | 1 111 |
| 10 | Q6/10: If A and B are independent events such that P(A)=p, P(B)=2p and P(Exactly one of A, B) = 5/9, then p is: | 1 011 |
| 11 | Q5/10: In a LPP, the constraints x >= 0 and y >= 0 are known as: | 914 |
| 12 | Q4/10: The angle between the lines 2x = 3y = -z and 6x = -y = -4z is: | 836 |
| 13 | Q3/10: The direction cosines of a line parallel to the z-axis are: | 775 |
| 14 | Q2/10: Two numbers are selected at random (without replacement) from the first six positive integers. Let X denote the larger of the two numbers obtained. Find E(X). | 762 |
| 15 | Q1/10: Three machines A, B, and C produce 20%, 30%, and 50% of the total output. Defective items are 5%, 4%, and 2%. A randomly selected item is defective. The probability it was produced by C is: | 749 |
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| 18 | Q10/10: A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other in stating the same fact? | 935 |
| 19 | Q9/10: Assertion (A): If P(A) = 1/2, P(B) = 0, then P(A|B) is not defined. Reason (R): P(A|B) = P(A ∩ B) / P(B) and division by zero is undefined. | 819 |
| 20 | Q8/10: Let X denote the number of heads obtained when two fair coins are tossed. Find the mean of X. | 655 |
