In a party of 45 people, each one likes tea or coffee or both. 35 people like tea and 20 people like coffee. Find the number of people who
(i) like both tea and coffee.
(ii) do not like Tea.
(iii) do not like coffee

A and B are two sets such that n(A – B) = 32 + x, n(B – A) = 5x and n(A∩B) = x. Illustrate the information by means of a Venn diagram. Given that n(A) = n(B), calculate the value of x.

Find any two irrational numbers between\(\frac { 6 }{ 7 } \) and \(\frac { 12 }{ 13 } \)

The cost of a chocolate is Rs. (x + y) and Amir bought (x + y) chocolates. Find the total amount paid by him in terms of x and y. If x =10, y =5 find the amount paid by him.

Construct ΔABC with AB = 5 cm ㄥB = 100⁰ and BC = 6 cm. Also locate its circumcentre draw circumcircle.

ABCD is a parallelogram Fig such that ∠BAD = 120^o and AC bisects ∠BAD show that ABCD is a rhombus.

ABCD is a rectangle whose diagonals AC and BD intersect at O. If ∠OAB =46 °, find ∠OBC

Plot the points (–4, 3),(–3, 3),(–1, 3),(0, 3),(3, 3) in the Cartesian Plane. What can you say about the position of these points?