Question

If `[(x + 2, 7),(y + 3, a - 2)] = [(4, b - 3),(4, 3)]`, the value of x, y, a and b are ______.

विकल्प

• x = 2, y = 1, a = 5 and b = 10

• x = –2, y = 1, a = 5 and b = 10

• x = 2, y = –1, a = 5 and b = 10

• x = 2, y = 1, a = –5 and b = 10

Answer 1

If `[(x + 2, 7),(y + 3, a - 2)] = [(4, b - 3),(4, 3)]`, the value of x, y, a and b are x = 2, y = 1, a = 5 and b = 10.

Explanation:

Given

`[(x + 2, 7),(y + 3, a - 2)] = [(4, b - 3),(4, 3)]`

Thus their corresponding elements are equal.

∴ x + 2 = 4 `\implies` x = 4 – 2 = 2

y + 3 = 4 `\implies` y = 4 – 3 = 1

7 = b – 3 `\implies` b = 7 + 3 = 10

a – 2 = 3 `\implies` a = 3 + 2 = 5