Question

The value of ‘p’ for which the equations px + 3y = p − 3, 12x + py = p has infinitely many solutions is ______.

विकल्प

• −6 only

• 6 only

• ± 6

• Any real number except ± 6.

Answer 1

6 only

Explanation:

px + 3y = p − 3

12x + py = p

a₁ = p, b₁ = 3, c₁ = − (p − 3)

a₂ = 12, b₂ = p, c₂ = −p

`(a_1)/(a_2) = (b_1)/(b_2) = (c_1)/(c_2)`

`p/12 = 3/p = (-(p - 3))/-p`

p² = 36

p = ± 6

The value p = 6 is the specific result that fulfills both requirements.