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.

ABCD is a rectangle formed by the points A(-1, -1) , B(-1, 4), C(5,4) and D(5, -1) . P,Q R S are the midpoints of AB, BC, CD, and DA respectively. Is the quadrilateral PQRS a square ? a rectangle ? or a rhombus ? Justify your answer.

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 sentences are always true, always false or ambiguous. Justify your answer Dogs can fly.

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

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 whether the following are true or false. Justify your answer: cot A is not defined for A = 0 °

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

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