Grade 12 Maths Model Question Solution (Set I)

Welcome to a world of mathematical exploration and mastery! We're excited to present to you an invaluable resource that is tailored to elevate your Grade 12 Maths experience. Introducing our latest blog post: "Grade 12 Maths Model Question Solution (Set I)." If you've been seeking clarity and a deeper understanding of these challenging model questions, you're in the right place.

As you navigate the intricate landscape of Grade 12 Mathematics, this blog post serves as your guiding light. Dive into meticulously crafted solutions that unravel complex problems, empowering you to approach your exams with newfound confidence. Whether you're aiming for top-notch scores or a comprehensive grasp of the subject matter, our solutions are designed to cater to your unique learning journey.

Questions:

12. The binomial expression for two algebraic terms a and x is given as (a-x)^n.

a. Write the binomial theorem for any +ve integer n in expansion form.

b. Write the general term of the expansion.

c. Write any one property of binomial coefficients.

d. Write the single term of C(n,r) + C(n,r-1).

e. How many terms are there in the expansion?

13. State the principle of mathematical induction. Using it, prove that: n^2>n+1 for n>2.

14. a. Evaluate: (cos^-1 4/5 + tan^-2 5/12).

      b. Using vector method, find the area of the triangle with vertices A (1,2,3), B(3,4,5) and C(1,4,7).

15. The information given below related to the rainfall and production of rice

                                            Rainfall(mm)                    Production (quintals)

            Mean                               35                                        50

            s.d                                    5                                            8

coefficient of correlation=0.8

a. Find the two regression equations related to above data.

b. What should be the most likely production corresponding to the rainfall of 410mm.

19. Write any one difference between like parallel forces and unlike parallel forces. P and Q (P>Q) are two like parallel forces acting at A and B. Show that if they interchange positions, the point of application of the resultant is displaced through a distance P-Q/P+Q AB.

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

        x-2y+3z=9, 2x-7+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 l,m,n of two lines which satisfy the equations:

           4l+3m-2n=0 and lm-mn+nl=0

       (b) Find the equation of the plane through (-1,3,4) and perpendicular to the planes 

            2x+3y+4z=6 and 3x+2y+2z=8

22. A college hostel accommodating 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 is 50 after 4 days.

a. Express the above information in the form of differential equation.

b. Solve the differential equation.

c. Show that more than 95% students will be infected after 10 days.

Congratulations on embarking on a transformative mathematical journey with "Grade 12 Maths Model Question Solution (Set I)." You've unlocked a realm of knowledge that will undoubtedly shape your academic success and beyond. The solutions provided here are more than answers; they are keys that unlock doors to a world of possibilities.

As you absorb the insights, strategies, and approaches within these solutions, remember that each solved problem is a testament to your growth. The journey through Grade 12 Maths is a testament to your dedication and determination. Armed with this newfound understanding, step confidently into your exams, and let the knowledge you've gained pave the way for your achievements.

Thank you for choosing our blog as your learning companion. We're thrilled to be a part of your educational journey, and we can't wait to see the remarkable heights you'll reach. Keep exploring, keep learning, and keep conquering – the world of mathematics is yours to master!