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**Some questions from CBSE Class 12th Mathematics Question Paper (Set-3) are given here**

**Q. **The amount of pollution content added in air in a city due to x-diesel vehicles is given by P(x)=0.005x^{2}+0.02x^{2}+30x. Find the marginal increase in pollution content when 3 diesel vehicles are added and write which value is indicated in the above question.

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**Q. **A speaks truth in 75% of the cases, while B in 90% of the cases. In what percent of cases are they likely to contradict each other in stating the same fact? Do you think that statement of B is true?

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**Q. **Using vectors, find the area of the triangle ABC with vertices A (1, 2, 3), B (2, -1, 4) and C (4, 5, -1).

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**Q. **Differentiate the following function with respect to x:

(logx)^{2} + x^{logx}

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**Q. **Assume that the chances of a patient having a heart attack are 40%. Assuming that a meditation and yoga course reduces the risk of heart attack by 30% and prescription of certain drug reduces its chance by 25%. At a time a patient can choose any one of the two options with equal probabilities. It is given that after going through one of the two options, the patient selected at random suffers a heart attack. Find the probability that the patient followed a course of meditation and yoga. Interpret the result and state which of the above stated methods is more beneficial for the patient.

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