Grade 12 Maths Model Question Solution (SET II)

Delve deeper into the realm of Grade 12 Mathematics with our latest offering: "Grade 12 Maths Model Question Solution (Set II)." Prepare to unravel a new set of intriguing challenges and equip yourself with the tools to conquer them. As the sequel to our previous installment, Set II continues to bridge the gap between theory and application, guiding you towards a profound understanding of complex mathematical concepts.

With each problem meticulously dissected and solved, this blog post is your gateway to achieving a higher level of mastery. Whether you're a dedicated scholar aiming for perfection or a curious mind seeking clarity, Set II is tailored to your needs. Our solutions are not mere solutions – they are your stepping stones to conquering the vast landscape of Grade 12 Maths. 

 

Questions:

12. The letter of the word MONDAY are to be shuffled to form different words

a. How many different words are possible?
b. How many words begin with M?
c. How many words end with Y?
d. In how many words, the relative positions of the vowels and consonants are not changed?
e. In how many words, the vowel occupy the first two positions?

13. Find the general term and then the sum of the first n terms of the series: 1. n + 2. (n-1) +3 (n-2)+....

14. (a) Find the equation of ellipse in the standard form where distance between the two foci is 8 and the semi-latus rectum is 6.

19. State the principle of conservation of linear momentum. A gun of mass 40 metric tonnes resting on an incline of 3 in 5, fires a shot of 100 kg horizontally with a velocity of 700 m/sec. Find the velocity of recoil of the gun and the distance it moves up the incline plane before coming to rest. (g=9.8n/s^2)

20 (a). State De Moivere's theorem . Use it to find the 4th roots of -1.

     (b) Prove that each imaginary cube root of unity is the reciprocal of the other.

22. The rate at which the number of bacteria grows in an infected area is proportional to the number of bacteria present at that moment.

Express the above information in the form of differential equation
Solve the differential equation if the number of bacterial initially was 1,00,000.
How long goes it take to double the number of bacteria if it trebles in 3 hrs?
Find the number of bacteria after 2 hours?

Congratulations on taking the next step in your mathematical journey with "Grade 12 Maths Model Question Solution (Set II)." You've ventured further into the depths of mathematical exploration, enriching your toolkit of problem-solving skills. The solutions provided in this set are designed to ignite your curiosity, enhance your comprehension, and fortify your confidence as you approach your exams.

As you absorb the intricacies of each solution, remember that mathematics is a language of logic, creativity, and precision. Your dedication to understanding these solutions is an investment in your academic and personal growth. Armed with the insights gained, step boldly into the challenges that lie ahead, knowing that you've equipped yourself with the finest tools mathematics has to offer. Thank you for being a part of our learning community, and may your journey through Set II lead you to even greater heights in your mathematical endeavors!