Grade 12 Maths Model Questions Solution (Set III)
Get ready for an exciting adventure in math! We're excited to share "Grade 12 Maths Model Questions Solution (Set III)" with you. It's like a special map that helps you understand tricky math problems in Grade 12. You don't need to be a math expert – we're here to help you learn and have fun!
Whether you're practicing for tests or just curious about math, Set III has something for you. Each solution is like a key that unlocks a puzzle, showing you how to solve problems step by step. Let's explore together and discover the magic of math!
Questions
12. Let G={0,1,2,3}.Form a composition table for G under addition modulo 4.
Find the identity element in G
What is the inverse of 3?
Is (G1+4) abelian? Justify your answer from the table.
What is the order of the group so formed?
13. State the principle of mathematical induction ? Use it to prove 10^2n-1 +1 is divisible by 11 for all n equals N .
15. A box contains 5 red and 5 white balls. Two balls are drawn one after another without replacement. Find the probability that (a) (i) both are red (ii) both are white (iii) first red and second white (iv) one of each colour.
(b) what do you mean by conditional probability?
19. Illustrate inertial of rest and motion of a body. A article of mass 15kg falls from a height of 18m. and penetrates into some sand. If the average resistance offered by the sand is equal to a force of 150 kg. wt, find how far it penetrates into the sand.
22. The rate of decay of a radioactive substance of mass y varies directly as the mass present at that time t.
Express the above information in the form of differential equation
Solve the differential equation if the initial mass was y0.
If the half life of the radioactive substance is T days, find the value of constant of proportionality.
How long does it take to disintegrate 1/3 rd of its original mass?
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