Write true (T) or false (F) :

(i) A literal can take on various numerical values.

(ii) 2a³b - a²b - 3a²b² + 7ba² - ba³ is a trinomial.

(iii) 3mn is a factor of -9mn².

(iv) If we add a monomial and a trinomial, the answer can be a monomial.

(v) The coefficient of a²b in - 9a²b²c is -9bc.

(vi) The degree of the monomial 3³ is 3.

Vasu has a rectangular farmland A. The length of this farmland is x²y - 2xy + 3x² and its perimeter is 2x²y + 6x² - 2xy - 4y². Today he purchased the adjacent farmland B and combined the two farmlands into one. The length of his farmland now increased by x² + xy, while the breadth remained the same.

(1) Find the breadth of farmland A :

1. x²y + 3x² - 4y²
2. xy - 2y²
3. 12x² - 4xy
4. 6x² + xy - 2y²

(2) Find the length of the combined farmland owned by Vasu :

1. x² + 2xy - 2y²
2. 4x² - 3xy + x²y
3. 4x² - xy + x²y
4. 2x² - 3xy + x²y

(3) The perimeter of Vasu's combined farmland is :

1. 8x² + 2x²y - 4y²
2. 4y² + 4xy + 2x²y + 8x²
3. 4x² - 2x²y + 4y²
4. 4x² + 4xy - 2x²y - 8x²

(4) The change in the perimeter after combining farmlands A and B is :

1. 4x² + 2xy + 4x²y - y²
2. 2x² - 2xy + y²
3. 4x² + 2xy - y²
4. 2x² + 2xy

Assertion: If we subtract 15x² - 9x + 1 from 1, then we get -15x² + 9x.

Reason: The degree of 15x² - 9x + 1 is 3 as it has three terms and degree of -15x² + 9x is 2 as it has two terms.

1. Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
2. Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
3. Assertion (A) is true but Reason (R) is false.
4. Assertion (A) is false but Reason (R) is true.