Question

The degree and order of the differential equation of the family of all parabolas whose axis is x–axis, are respectively

• A. 2, 1
• B. 1, 2
• C. 3, 2
• D. 2, 3

Answer 1

Answer: (B)

1, 2

Answer 2

$y ^ { 2 } = \pm 4 a ( x - h )$

⇒ $2 y y _ { 1 } = \pm 4 a$ ⇒ $y y _ { 1 } = \pm 2 a$ ⇒ $y _ { 1 } ^ { 2 } + y y _ { 2 } = 0$

Hence degree = 1, order = 2.