Question

If the graph of the equation 4x + 3y = 12 cuts the coordinate axes at A and B, then hypotenuse of right triangle AOB is of length 

A. 4 units 

B. 3 units 

C. 5 units 

D. none of these

Answer 1

Option : (C)

4x + 3y = 12 

A is (3, 0) B is (0, 4) 

Base of triangle AOB = OA = 3 untis 

Perpendicualr of triangle AOB = OB = 4 units 

Hypotenuse² = perepndicular² + base² 

⇒ Hypotenuse² = 16 + 9 = 25 sq units 

⇒ Hypotenuse = 5 units

Answer 2

If x is an even number, then what is the next even number