Important 1 mark questions of Class 12 Maths are available here. These questions are expected to be asked in CBSE 12th Mathematics board exam 2018.

As per latest exam pattern, students will get 4 one mark questions in the paper. Students preparing for CBSE Class 12 Maths board exam 2018 are also advised to go through latest Syllabus, Blueprint and Sample Paper (issued by CBSE).

Links to access these articles are given between questions.

**Important (1 mark) questions for Class 12 Maths board exam 2018 are given below:**

**Question: **Evaluate: sin [2cos^{‒1}(‒3/5)].

**Question: **What is the principal value of tan^{‒1} [tan 2π/3]?

**Question:**

Write the value of

tan^{‒1} (a/b) ‒ tan^{‒1}[(a ‒ b)/(a + b)].

**Class 12 Maths Sample Paper (Issued by CBSE)**

**Question:**

Write the value of cos^{–1}(‒1/2) + 2 sin^{‒1}(1/2)

**Question:**

Write the principal value of tan^{‒1}(‒1)?

**Question:**

Evaluate: Sin [π/2 ‒ sin^{‒1}(‒1/2)]

**CBSE Examination Pattern or Blue Print: Class 12 Maths Board Exam 2018**

**Question:**

Write the value of cos^{–1}[cos (7π/6)]?

**Question: **State the reason for the following Binary Operation *, defined on the set Z of integers, to be not commutative. *a* * *b* = *ab*^{3}.

**Question:** Give an example of a skew symmetric matrix of order 3**.**

**Question:** Using derivative, find the approximate percentage increase in the area of a circle if its radius is increased by 2% .

**Question:** Find the derivative of tan *f *(e^{tan x}) with respect to x at x = 0. It is given that *f*’(1) 5.

**Question: **If the** **line (*x* ‒ 1)/‒2 = (*y* ‒ 4)/3*p* = (*z* ‒ 3)/4 and (x ‒ 2)/4p = (y ‒ 5)/2 = (z ‒ 1)/‒7 are perpendicular to each other, then find the value of p.

**Question: **A and B are square matrices of order 3 each, |A| = 2 and |B| = 3. Find |3AB|

**Question:**

Let *f *: R → R be defined by *f*(*x*) = 3*x*^{2} ‒ 5 and g : R → R be defined by *g* (*x*) = *x*/(*x*^{2}+1). Find *gof*.

**Question:**

Let A= {1,2,3,4} Let R be the equivalence relation on *A* × *A* defined by (*a*, *b*) R (*c*, *d*) iff *a* + *d* = *b* +* c*. Find equivalence class [(1, 3)]

**Question:**

If A = [*a _{ij}*] is a matrix of order 2 × 2, such that |A| = ‒ 15 and C

*ij*represents the cofactor of

*a*, then find

_{ij}*a*

_{21}

*c*

_{21}+

*a*

_{22}

*c*

_{22}.

**Question:**

Determine whether the binary operation * on the set **N** of natural numbers defined by *a ** *b* = 2* ^{ab}* is associative or not.

**Question:**

Find the distance between the planes 2*x* – *y* + 2*z* = 5 and 5*x* – 2.5*y* + 5*z* = 20.

**Question:**

If A is a square matrix such that A^{2 }= I, then find the simplified value of (A – I)^{3} + (A + I)^{3} – 7A.

**Question:**

Find the vector equation of a plane which is at a distance of 5 units from the origin and its normal vector is 2 *î* – 3 *ĵ*+ 6 *k^*.

**Question:**

If A is a square matrix of order 3 such that |adj A| = 64, find |A|.

**Question:**

The total cost C (*x*) associated with provision of free mid-day meals to *x *students of a school in primary classes is given by

C (*x*) = 0.005 *x*^{3} ‒ 0.02 *x*^{2} + 30 *x *+ 50.

**Question:**

Let *R* = {(*a*,* a*^{3}): *a* is a prime number less than 5} be a relation. Find the range of R.

**Question:**

If A is a 3 × 3 matrix, |A| ≠ 0 and |3A| = k |A|, then write the value of *k*.

**Question:**

Find the value of '*p*' for which the vectors 3** i **+ 2

*j*+ 9

**and**

*k**i*‒ 2

*pj*+ 3

*k*are parallel.

**Question:**

Integrate: {(1 + log *x*)^{2}/*x*} dx

**Related video: 9 best ways to score maximum marks in board exam 2018**

**Question:**

Write the position vector of the mid-point of the vector joining the points P (2, 3, 4) and Q (4, 1, ‒2).

**Question:**

If ** a . a** = 0 and

**= 0, then please what can be concluded about the vector**

*a*.*b***?**

*b***Question:**

What are the direction cosines of a line, which makes equal angles with the co-ordinates axes?

**Question:**

Write the position vector of the mid-point of the vector joining the points P (2, 3, 4) and Q (4, 1, ‒2).

**Question:**

What are the direction cosines of a line, which makes equal angles with the co-ordinates axes?

**Question:**

If a matrix has 5 elements, write all possible orders it can have.** **

**Question:**

Write the direction-cosines of the line joining the points (1, 0, 0) and (0, 1, 1).

**Question:**

Write the projection of the vector** i** –

**on the vector**

*j***+**

*i***.**

*j***Question:**

Write the vector equation of the line given by (x ‒ 5)/3 = (y + 4)/7 = (z ‒ 6)/2.

**Question:**

Write the intercept cut off by the plane 2*x* + *y *– *z *=5 on *x*–axis.

**Question:**

For a 2 × 2 matrix, A = [*a*ij], whose elements are given by *a*_{ij} = *i*/*j*’ write the value of *a*_{12}

**Question:**

If *f*(*x*) = *x *+ 7 and *g*(*x*) =* x* ‒ 7, *x* ∈ *R*, find (*f*o*g*) (7).

**Question:**

If *f(x*) is an invertible function, find the inverse of *f* (*x*) = (3x ‒ 2)/5.

**Question:**

Show that the points (1, 0), (6, 0), (0, 0) are collinear.

**Question:**

Find a vector in the direction of vector ** a** =

**‒ 2**

*i***, whose magnitude is 7.**

*j***Question:**

If matrix A = (1 2 3), write *AA*', where *A*' is the transpose of matrix *A*.

**Question:**

If the binary operation * on the set of integers *Z*, is defined by *a* **b* = *a* + 3*b*^{2} , then find the value of 2 * 4.

**Question:**

Find the distance of the plane 3*x* – 4*y* + 12*z* = 3 from the origin.

**Question:**

Let A be a square matric of order 3 × 3. Write the value of |2A|, where |A| = 4.

Students can easily find the answers of important (1 mark) questions in Class 12 Maths Guess Papers, Practice Papers, Sample Papers and Previous Year Papers. Links to access these articles are given below:

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