Class 12 Maths Model Questions Collection- New Model

Welcome to an exciting journey through the world of mathematics! Are you ready to dive into a treasure trove of Class 12 Maths model questions that will not only sharpen your problem-solving skills but also prepare you for the upcoming board examinations? We are thrilled to present to you our latest blog post titled, "Class 12 Maths Model Questions Collection - New Model."

Group - C [8× 3 = 24]

20. (a) Use the row-equivalent matrices to solve the system:

            x=2y + 3z = 9, 2x - y + 2z = - 8, 3x - y - 4z= 3.

       (b) Solve the following system by using inverse matrix method: 2x - 3y - z=4,

            x-2y -z= 1, x- y - 2z=9

21. (a) Find the direction cosines 1, m, n of two lines which satisfy the equations:

            41+3m- 2n = 0 and /m - mn + n/ = 0.

       (b) Find the equation of the plane through (-2, 3, 4) and perpendicular to the

            planes 2x + 3y + 4z = 6 and 3x + 2y + 2z = 8.

22.A college hostel accommodation 1000 students, one of them came abroad with infection of corona virus, then the hostel was isolated. If the rate at which the virus spreads is assumed to be proportional to the product of the number N of infected students and number of non-infected students and the number of infected students if 50 after 4 days.

1. Express the above information in the form of differential equation.
2. Solve the differential equation.
3. Show that more than 95% students will be infected after 10 days.

Congratulations! You've reached the end of our "Class 12 Maths Model Questions Collection - New Model" blog post. We hope you found this journey through mathematical challenges and concepts as exhilarating as we did creating it. Remember, in the world of mathematics, every problem you solve is a victory that paves the way for greater accomplishments.

We sincerely believe that this collection will not only enhance your problem-solving abilities but also ignite a passion for mathematics that extends far beyond the classroom. The skills you've honed and the insights you've gained are invaluable assets that will serve you well, not only in your exams but also in your future endeavors.

As you continue to learn and grow, keep in mind that the pursuit of knowledge is a never-ending adventure. The more you explore, the more you realize how beautifully interconnected the various branches of mathematics are, shaping the very foundation of our world.

We'd like to express our heartfelt gratitude for joining us on this mathematical odyssey. Your dedication to learning is commendable, and we're confident that your hard work will yield remarkable results. Stay curious, keep learning, and never hesitate to delve into the world of mathematics whenever you seek inspiration or solutions.

Thank you for being a part of our learning community. Until next time, keep solving, keep exploring, and keep conquering the boundless realm of mathematics!