Using the suitable identities, evaluate the following :
(103) ²  .

5

(a)

Using suitable identities, evaluate the following:
(69.3)² - (30.7)² 

5

(a)

The area of a circle is given by the expression \(\pi { x }^{ 2 }+6\pi { x }^{ 2 }-9\pi \) sq unit. Find the perimeter of the circle, if x is the radius of the circle.

5

(a)

if mean of some observations is (4x ²-9) and their sum is 16x⁴ -81. Then , find the number of observations

5

(a)

If a+b =199 and a²+b²=1,then find the value of a.b.

5

(a)

If perimeter of square 4x² -36 unit. Then, find the area of the square? Find the area, if x=2

5

(a)

Factorise (81R²+\(\frac { 9 }{ 2 } \) + \(\frac { 1 }{ 16 } \))-81

5

(a)

Rohan and Abhinav are best friend. Due to some financial problem, Rohan cannot celebrate his birthday in the class. Abhinav collected some money from his pocket money. He purchases some chocolates and distribute in the class on Rohan's birthday. If the cost of a chocolate is Rs.(x + 4) and he bought (x + 4) chocolates.
(i) Find the total amount paid by him in terms of x. If x = 10, find the amount paid by him.
(ii) What value depicted here?

5

(a)

Find the length of the side of the given square if area of the square is 900 square units and then, find the value of x.

5

(a)

The curved surface area of a cylinder is 2\(\pi \) (y² + 7y + 12) and its radius is (y + 3). Find the height of the cylinder. (CSA of cylinder = 2\(\pi \)rh)

5

(a)