Read the directions carefully and answer the following

If (a - b - c) = 6, and (ab - bc + ca) = 117, then find the value of (a² + b² + c²)

If a – b – c = 0, then the value of (a² + b² + c²)/(b + ac) is:

If x⁴ + x³ + x² + x + 1 = 0, then find the value of x¹⁵²⁵ + x⁷²⁰ + 14 + x³²⁰ =?

In △ ABC, AB = AC. A circle drawn through B touches AC at D and intersect AB at P. If D is the midpoint of AC and AP = 2.5 cm, then AB is equal to:

1/3 + 1/15 + 1/35 + 1/63 + 1/99 = ?

if a² + b² + c² = 2(3a -5b -6c)-70 , then a-b-c = ?

Which of the following statements is correct?

I. If x = 12, y = –2 and z = –10, then x³ + y³

+ z³ = 360