Class 12 is a vital stage of a student life. Some topics added in the class 12 Math syllabus are relations and functions, calculus, algebra, linear programming and students should learn these topics properly to build a good grounding in this subject. As we all know, based on the result of class 12, students can chose their preferred subjects in higher studies. Therefore, students should take requisite initiative to make their performance better in class 12 exams. 12 grade Math help offered by TutorVista is quite informative and effective for students. By opting this learning help, students can not only enhance their subject knowledge, but also can improve their confidence level before exams.

Practice Math chapters repeatedly and check your progress by taking online Math tests once in a week. Write down all Math problems and schedule your online session with virtual tutor and solve those in a step-by-step manner. Moreover, virtual tutors are well-trained and they guide students by giving detailed explanations of each Math problem.

Revise your old algebra I and geometry notes before starting 12th grade Math syllabus. Practice number system, algebra I, algebra II, calculus, pre calculus, statistics, trigonometry, geometry and advanced trigonometry.

Revise all chapters included in the Math syllabus and then, practice online worksheets to gauge your understanding level in each topic. Follow some solved examples of each Math topic and get confidence so that you can make your performance better in exams.

Learn each Math concept thoroughly and try to remember these concepts so that you can use these accurately. Online Math sessions are available for each Math topic and most importantly, students can take sessions as per their learning requirements.

Solve different types of Math problems with virtual tutors and get familiar with each topic. Students can take online Math quiz, as well. As we all know, practicing Maths is the only way to get good score in exams and therefore, students should practice Math chapters in an organized manner.

12th grade Math syllabus covers all essential topics including differentiation, integration, inverse trigonometry, matrices, probability and others. Students can take online learning help to cover each Math topic before exams. Moreover, they can solve their assessments and homework by taking guidance from virtual tutors. Apart from this, they can also follow solved examples of each topic.

Few problems based on 12th grade are given below:

### Solved Examples

**Question 1: ** If A = $\begin{bmatrix}

7&3 \\

10& 11

\end{bmatrix}$. Find det A

** Solution: **

** **Given A = $\begin{bmatrix}

7&3 \\

10& 11

\end{bmatrix}$

det A = A = $\begin{vmatrix}

7&3 \\

10& 11

\end{vmatrix}$ = 77 - 30 = 47

So det A = 47

**Question 2: **Evaluate $\int_0^1$ $\frac{(sin^{-1}x)^2}{\sqrt{1-x^2}}$ dx

** Solution: **

Let I = $\int_0^1$ $\frac{(sin^{-1}x)^2}{\sqrt{1-x^2}}$ dx

Put sin$^{-1}$x = t

By differentiating, we get

$\frac{1}{\sqrt{1-x^2}}$ dx = dt

When x = 0 then t = 0

When x = 1 then t = $\frac{\pi}{2}$

Now

I = $\int_0^\frac{\pi}{2}$ (t$^2$) dt

= $\frac{t^3}{3}$ $|_0^\frac{\pi}{2}$

= $\frac{1}{3}$ ($\frac{\pi}{2})^3$

= $\frac{\pi^3}{24}$

Few problems based on 12th grade are given below:

7&3 \\

10& 11

\end{bmatrix}$. Find det A

7&3 \\

10& 11

\end{bmatrix}$

det A = A = $\begin{vmatrix}

7&3 \\

10& 11

\end{vmatrix}$ = 77 - 30 = 47

So det A = 47

Let I = $\int_0^1$ $\frac{(sin^{-1}x)^2}{\sqrt{1-x^2}}$ dx

Put sin$^{-1}$x = t

By differentiating, we get

$\frac{1}{\sqrt{1-x^2}}$ dx = dt

When x = 0 then t = 0

When x = 1 then t = $\frac{\pi}{2}$

Now

I = $\int_0^\frac{\pi}{2}$ (t$^2$) dt

= $\frac{t^3}{3}$ $|_0^\frac{\pi}{2}$

= $\frac{1}{3}$ ($\frac{\pi}{2})^3$

= $\frac{\pi^3}{24}$

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