# MP Class 12 Maths Important Questions

MP Class 12 Maths Important Questions will help students to do well in the exams and get good scores. These questions have been compiled considering the important topics as per the MP Class 12 Maths Syllabus, thus helping students to brush up their knowledge about the subject.

Class 12 Maths Important Questions will help students to understand the type of questions asked in the board exams. After analysis, we deduced that these are questions that are repeated often for the exams, thus helping students to get an approximate idea about the difficulty level of a paper.

MP Board Class 12th is a crucial year and mathematics is an important subject for the students. The subject is also challenging and will require a lot of practice, which are provided by these important questions. Students can start studying efficiently after taking a look at the important questions.

Students can also find a list of the important questions for MP board class 12 Maths here:

Important Questions for MP Class 12 Maths

1. Prove that
$$\begin{array}{l}\vec{a}= 5\hat{i}+ 15\hat{j}\end{array}$$
and
$$\begin{array}{l}\vec{b}=3\hat{i}+9\hat{j}\end{array}$$
are parallel, if the position vectors of the points A and B are
$$\begin{array}{l}7\hat{i}+3\hat{j}+\hat{k}\end{array}$$
and
$$\begin{array}{l}2\hat{i}+5\hat{j}+4\hat{k}\end{array}$$
respectively, then find the magnitude of
$$\begin{array}{l}\vec{AB}\end{array}$$
2. Find the value of
$$\begin{array}{l}\int \frac{cos(logx)}{x}dx\end{array}$$
3. In which radio does the YZ plane divide the line joining the points (-2,4,7) and (3,-5,8)
4. Resolve
$$\begin{array}{l}\frac{13x+18}{2x^{2}+5x+3}\end{array}$$
into partial fractions
5. Find the coefficient of
$$\begin{array}{l}\sqrt{tan\sqrt{x}}\end{array}$$
6. The side of a square sheet of metal is increasing at the rate of 5cm/minute. At what are its area increasing when the side is 20cm long?
7. Prove that correlation coefficient is the geometric mean of the regression coefficiens
8. Solve the Differential equation
$$\begin{array}{l}(x-1\frac{dy}{dx})=2x^{3}y\end{array}$$
9. A card is drawn at random from a well shuffled pack of 52 cards. Find the probability that it is neither an ace nor a king.
10. Find the vector equation of the sphere with centre
$$\begin{array}{l}(\hat{i}+2\hat{j}-3\hat{k})\end{array}$$
11. Find the value of
$$\begin{array}{l}\int x sin xdx\end{array}$$
12. The edge of a cube is increasing at the rate of 7cm/sec. How fast is the volume of the cube increasing when the edge is 10 cm long?
13. Find 2 positive numbers whose product is 64 and the sum is minimum
14. Tickets are marked from 1 to 16 and mixed up. One ticket is taken out at random. Find the probability of its being a multiple of 2 or 3.
15. Prove that the points (1,2,3), (3,0,3), (-2,-3,-3) and (3,4,6) are coplanar
16. Prove that
$$\begin{array}{l}\vec{AB}+\vec{BC}+\vec{CA}=0\end{array}$$
17. Evaluate
$$\begin{array}{l}\int \frac{1}{1-4x}dx\end{array}$$
18. Find the differential coefficient of sinx by first principle
19. If the edge of a cube is increasing at the rate of 5cm/sec., find the rate of increasing of its volume when its edge is 8cm long?
20. Write a theorem of total probability and prove it.