Correct Answer - Option 2 : 1160

**Given:**

(r + s)^{2} = 49

(r – s)^{2} = 9

**Concept:**

⇒ (a + b)^{2} + (a – b)^{2} = 2(a^{2} + b^{2})

⇒ (a + b)^{2} - (a – b)^{2} = 4ab

**Calculation:**

According to the question,

⇒ 2(r^{2} + s^{2}) = (r + s)^{2} + (r – s)^{2}

⇒ 2(r^{2} + s^{2}) = 49 + 9

⇒ r^{2} + s^{2} = 29 ……(1)

According to the question,

⇒ 4rs = (r + s)^{2} – (r – s)^{2}

⇒ 4rs = 49 – 9

⇒ 4rs = 40 ……(2)

From (1) and (2) we get,

⇒ 4rs × (r^{2} + s^{2}) = 40 × 29 = 1160