The set P = {x | x ∈ Z , –1 < x < 1} is a –––––––––.

Number of subsets in set A = {1,2,3} is ________

The set {x: x ∈ A, x ∈ B, x ∉ A ∩ B} is___________.

Which one of the following has a terminating decimal expansion?

Which one of the following has terminating decimal expansion?

The product of the polynomials p(x) = 4x –3 q(x) = 4x + 3 ____________

It is not possible to construct a triangle when its sides are ____________

If the diagonal of a rhombus are equal, then the rhombus is a ________.

What is the name of a regular polygon of six sides?

The centre of a circle is (0, 0). One end point of a diameter is (5, -1), then ______________

List the set of letters of the following words in Roster form.
CZECHOSLOVAKIA

Identify the following sets as null set or singleton set.
B = The set of all even natural numbers which are not divisible by 2

Represent U= {1,2,3,4,5,6,7,8,9,10} A = {1,2,4,6,8,10} and B = {3,6,1,10} in venn-diagram, then find
(i) (A UB)'
(ii) (A ∩ B)'

Without actual division classify the decimal expansion of the following numbers as terminating or non-terminating and recurring.
\(7\over 16\)

Find the roots of the polynomial equations: 10x + 9 = 0

Identify which ones are parallelograms and which are not.

Identify which ones are trapeziums and which are not.

In the given diagram PQRS is a parallelogram.
ㄥS = 4x - 60, ㄥQ = 30 - x. Find the angles of P and R.

Plot the following points in the coordinate plane and join them. What is your conclusion about the resulting figure? 
(0, –4) (0, –2) (0, 4) (0, 5)

Out of 500 car owners investigated, 400 owned car A and 200 owned car B, 50 owned both A and B cars. Is this data correct?

From the venn-diagram, list the following:

(i) A
(ii) B
(iii) A ∩ B
(iv) AU B
(v) A-B
(vi) B-A
(vii) (A - B) ∩ (B - A)

Express the following decimal expression into rational numbers -5.132

Express the following decimal expression into rational numbers \(0.\overline { 0001 } \)

Study the following pattern and write the algebraic expression
(i)  

(ii)

What must be subtracted from \({ y }^{ 4 }+{ 2y }^{ 3 }-3y+8\quad to\quad get\quad { y }^{ 4 }-{ 2y }^{ 3 }+6?\)

In the figure, AB is parallel to CD, find x

In the figure find x⁰ and y⁰.

Determine whether the given set of points in each case are collinear or not (a, –2), (a, 3), (a, 0)

Three vertices of a rectangle are (3, 2), (-4, 2) and (-4, 5). Plot the points and find the coordinates of the fourth vertex.

Find any two rational numbers between 2.2360679….. and 2.236505500….

Classify the following polynomials based on their degree.

In the given Fig, ∠A = 64° , ∠ABC = 58°. If BO and CO are the bisectors of ∠ABC and ∠ACB respectively of ΔABC, find x° and y°.

Diagonal AC of a parallelogram ABCD bisects ㄥA. Show that
(i) it bisects ㄥC also
(ii) ABCD is a rhombus.

Locate the points
(i) (2, –5) and (–5, 2)
(ii) (–3, 4) and (4, –3) in the rectangular coordinate system

Show that the given points (1, 1), (5, 4), (-2, 5) are the vertices of an isosceles right angled triangle.

Consider the set A = {Ashwin, Muralivijay, Vijay Shankar, Badrinath }.
Fill in the blanks with the appropriate symbol \(\in \) or \(\notin \).
Badrinath ______A.

If n(A) = 50, n(B) = 35, n(A ⋂ B) = 5, then n(A U B) is equal to __________

The rational number equivalent to \(\frac { 5 }{ 9 } \) such that its numerator is 25 is____________ .

All sides of a ______ are equal and all angles are right angles.

The abscissa of the origin is ____________