Rajasthan Board RBSE Class 12 Maths Chapter 15 Linear Programming Ex 15.2 Question 1. A dietician wishes to mix two types of foods in such a way that vitamin contents of the mixture contain atleast 8 units of vitamin A and 10 units of vitamin C. Food I contains 2 units/kg of vitamin A and…
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Rajasthan Board RBSE Class 12 Maths Chapter 1 संयुक्त फलत Ex 1.1 प्रश्न 1. यदि f : R→R तथा g : R→R दो फलन निम्न प्रकार से परिभाषित हों, तो (fog)(x) तथा (gof)(x) ज्ञात कीजिए : (i) f(x) = 2x + 3, g(x) = x² + 5 (ii) f(x) = x² + 8, g(x) = 3×3…
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Rajasthan Board RBSE Class 12 Maths Chapter 16 Probability and Probability Distribution Miscellaneous Exercise Question 1. Two events A and B are said to be mutually independent, if: Solution: Given A and B two independent events Hence option (iii) is correct Question 2. Two dice are thrown. The probability of getting a pair of even…
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Rajasthan Board RBSE Class 12 Maths Chapter 16 Probability and Probability Distribution Ex 16.5 Question 1. If a fair coin is tossed 10 times, then find the probabilities of the following; (i) exactly 6 heads ? (ii) atleast 6 heads ? (iii) atmost 6 heads ? Solution: (i) A fair coin is tossed 10 times…
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Rajasthan Board RBSE Class 12 Maths Chapter 16 Probability and Probability Distribution Ex 16.4 Question 1. Find which of the following probability distribution is possible for a random variable : Solution: (i) Sum of probabilities = 0.4 + 0.4 + 0.2 = 1 Hence, given distribution is a probability distribution. (ii) Sum of probabilities =…
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Rajasthan Board RBSE Class 12 Maths Chapter 16 Probability and Probability Distribution Ex 16.3 Question 1. Given there are two bags I and II. Bag I contains 3 red and 4 black bails while another bag II contains S red and 6 black balls. One ball is drawn at random from one of the bags and…
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Rajasthan Board RBSE Class 12 Maths Chapter 16 Probability and Probability Distribution Ex 16.2 Question 1. If A and B be two events such that P(A) = ; = P(B) = and P(A ∩ B) = , then find . (1 – P(A)] = P(B) PĀ) = P(Ā)P(B) Solution: Given: Question 2. If P(A) = 0.4,…
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Rajasthan Board RBSE Class 12 Maths Chapter 16 Probability and Probability Distribution Ex 16.1 Question 1. If and P(A∩B) = , then find p(). Solution: We know that Question 2. If P(B) = 0.5 and P(A ∩ B) = 0.32, then find p(). Solution: Question 3. If 2P(A) = P(B) = and P() = , then…
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Rajasthan Board RBSE Class 12 Maths Chapter 15 Linear Programming Miscellaneous Exercise Solve the following linear programming problem by graphical method : Question 1. Maximize Z = 4x + y Subject to the constraints, x + y ≤ 50 3x + y ≤ 90 and x ≥ 0, y ≥ 0 Solution: Converting the given…
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Rajasthan Board RBSE Class 12 Maths Chapter 15 Linear Programming Ex 15.1 Solve the following linear programming problem by graphical method : Question 1. Minimize Z = -3x + Ay subject to the constraints x + 2y ≤ 8 3x + 2y ≤ 12 and x ≥ 0, y ≥ 0 Solution: Converting the given…
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