Question : If a + b + c = 0, then the value of (a + b – c)² + ( b + c – a)² + ( c + a – b)² is:

Option 1: 0

Option 2: 8abc

Option 3: 4(a² + b² + c²)

Option 4: 4(ab + bc + ca)

Question : If the horizontal range of a projectile is four times its maximum height, the angle of projection is:

Option 1: 30^o

Option 2: 45^o

Option 3: sin^-1(1/4)

Option 4: tan^-1(1/4)

Question : The dimensions of force are:

Option 1: M⁰ L³ T⁰

Option 2: ML^-3 T⁰

Option 3: M⁰ LT^-1

Option 4: MLT^-2

Question : The temperature, which has the same reading on both Fahrenheit and Celsius scales, is

Option 1: 40^o

Option 2: -40^o

Option 3: -34^o

Option 4: -140^o

Question : What is the value of (a + b + c) {(a - b)² + (b - c)² + (c - a)²}?

Option 1: $2 a^3+2 b^3+2 c^3$

Option 2: $2a^3+2b^3+2c^3-6abc$

Option 3: $3abc$

Option 4: $6abc$