From the adjacent diagram n[P(AΔB)] is ________.

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

The value of  \(0.\bar { 23 } +0.\bar { 22 } \) is ____________

if \(\frac { 1 }{ 7 } \) = \(0.\overline { 142857 } \) then the value of \(\frac { 5 }{ 7 } \) ________.

The product of \(2\sqrt { 5 } \) and \(6\sqrt { 5 } \) is_______________.

The root of the polynomial equation 2x + 3 = 0 is ________.

The value of the polynomial f(x) = 6x - 3x²+9 when x = -1 is _____________________

Divide x³-4x²+6x by "x" the result is _____________________

The interior angle made by the side in a parallelogram is 90° then the parallelogram is a ________.

Diagonal of which of the following quadrilaterals do not bisect it into two congruent triangles?

AD is a diameter of a circle and AB is a chord If AD = 30 cm and AB = 24cm then the distance of AB from the centre of the circle is ______.

The distance between the two points ( 2, 3 ) and ( 1, 4 ) is ______.

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

The point (0, -3) lies on _______________

If S = {square, rectangle, circle, rhombus, triangle}, list the elements of the following subset of S.
The set of shapes which have 5 sides.

In a class of 50 students, each of the students passed either in mathematics or in science or in both. 10 students passed in both and 28 passed in science. Find how many students passed in mathematics only

Express the following in the form 3ⁿ: \(\sqrt { 27 } \)

Use a fractional index to write \(\left( 5\sqrt { 125 } \right) ^{ 7 }\)

Find any 4 irrational numbers between \(\frac { 1 }{ 4 } \) and \(\frac { 1 }{ 3 } \)

If p(x) = x²– 2\(\sqrt { 2 }\)x +1, find p(2\(\sqrt { 2 }\)) .

Expand: (2a + 3b)³

Find the value of s for the following system of equa~on has infinitely many
solutions. 2x - 3y = 7; (s +2) x - (2s + 1)y = 3(2s -1)

Identify which ones are trapeziums and which are not.

In a circle, AB and CD are two parallel chords with centre 0 and radius 5 em such that AB = 8 cm and CD = 6 cm determine the distance between the chords?

Find the value of X^o

The centre of a circle is (−4, 2). If one end of the diameter of the circle is (−3, 7) then find the other end.

If  \(\left( \frac { 3 }{ 2 } ,5 \right) ,\left( 7,\frac { -9 }{ 2 } \right) \)and\((\frac{13}{2},\frac{-13}{2})\) are mid-points of the sides of a triangle, then find the centroid of the triangle.

Find the centroid of the triangle whose vertices are (2, -5), (5, 11) and (9, 9)

In the adjacent diagram, if n(U) = 125, y is two times of x and z is 10 more than x, then find the value of x,y and z.

If A = {2,5,6,7} and B = {3,5,7,8}, then verify the commutative property of union sets

Locate an irrational number between two rational numbers\(\frac { 23 }{ 10 } \) and\(\frac { 12 }{ 5 } \)

Express each of the following surds in its simplest form \(\sqrt [ 3 ]{ (1024)^{ -2 } } \) and find its order, radicand and coefficient.

Simplify :\(-2\sqrt [ 4 ]{ 768 } +5\sqrt [ 4 ]{ 1875 } +3\sqrt [ 4 ]{ 48 } \)

Expland the following using identities : (4m-3m)²

Solve by cross multiplication method : 3x + 5y = 21; −7x − 6y = −49

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

In the figure find x⁰ and y⁰.

The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral.

In the given figure, ㄥCAB = 25°, find ㄥBDC, ㄥDBA and ㄥCOB

The radius of a circle with centre at origin is 30 units. Write the coordinates of the points where the circle intersects the axes. Find the distance between any two such points.

Show that the following points taken in order form the vertices of a parallelogram.
A(–3, 1), B(–6, –7), C (3, –9) and D(6, –1)

Write the coordinates of quadrilateral PQRS as shown in the following figure.