If a + b + c = 0, then the value of (a² + b² + 2ab) is equal to:
c²
Given that a + b + c = 0, we can express a + b as -c.
Now, (a + b)² = a² + b² + 2ab. Since (a + b) = -c, we have:
(-c)² = a² + b² + 2ab, which simplifies to c² = a² + b² + 2ab.
Thus, the value of (a² + b² + 2ab) is equal to c².
Important Questions from Mixture and Alligation
My father is presently 25 years older than me. The sum of our ages 5 years ago was 39 years. Find my present age.
Rice worth ₹43/kg and ₹67/kg are mixed with a third variety in the ratio 2 : 1 : 5. If the mixture is worth ₹96/kg, the price (in ₹) of the third variety of rice per kg will be:
42 litres of milk at ₹25 per litre is mixed with 28 litres of milk at ₹40 per litre. Find the average price of the mixture.
15 kg of ₹10 per kg wheat is mixed with 5 kg of another type of wheat to get a mixture costing ₹30 per kg. Find the price (per kg) of the costlier wheat.
Simplify:
25 - (18 - 4 × 9 ÷ 3)
