Q41. यदि x * y = x2 + y2 + xy + 1 हो, तो (1 * 2) * 3 = ?
(1 * 2) = 12 + 22 + 1×2 + 1 = 1 + 4 + 2 + 1 = 8
(1 * 2) * 3 = 8 * 3 = 82 + 32 + 8×3 + 1 = 64 + 9 + 24 + 1 = 98
∴ (1 * 2) * 3 = 98
Q42. यदि a ⊕ b = {[2a, a > b]; [(a + b), a < b]; [a2, a = b]} तब {[(5 ⊕ 7) + (4 ⊕ 4)] / [3(5 ⊕ 5) – (15 ⊕ 11) – 3]} = ?
(5 ⊕ 7) = 5 + 7 = 12 {∵ [(a + b), a < b] }
(4 ⊕ 4) = 42 = 16 {∵ [a2, a = b] } इसी तरह (5 ⊕ 5) = 25
(15 ⊕ 11) = 2 × 15 = 30 {∵ [2a, a > b] }
{[(5 ⊕ 7) + (4 ⊕ 4)] / [3(5 ⊕ 5) – (15 ⊕ 11) – 3]} = {[12 + 16] / [3×25 – 30 – 3]}
= 28 /42
