A ={set of quadrilaterals}, B={square, rectangle, trapezium, rhombus}. State whether `A subset B or B subset A`. Justify your answer.

Is it right to say that sin (A+B) =sin A +sin B ? Justify your answer.

If either a=0,b=0 , then a.b=0. But the converse need not to be true . Justify your answer with an example.

Is it true that for any sets A and B, P ( A ) ∪ P ( B ) = P ( A ∪ B ) ? Justify your answer.

Let F_1 be the set of parallelograms , F_2 the set of rectangles, F_3 the set of rhombuses , F_4 the set of squares and F_5 the set of trapeziums in a plane. Then F_1 may be equal to :

State whether the following are true or false. Justify your answer. (i) sin (A+B) = sinA + sin B

State whether the following sentences are always true, always false or ambiguous. Justify your answer Dogs can fly.

A is the set of prime number less than 10, B is the set of odd numbers less than 10 and C is the set of even numbers of less than 10. Which of the following statements are true? (i) A subset B (ii) B subset A (iii) A subset C (iv) C subset A (v) B subset C (vi) phi subset A

State True or False and Justify sin ( A + B ) = sin A + sin B

State whether the following triangles are congruent or not? Give reasons for your answer.