Question

If a circle x² + y² + 2x + 4y – 1 = 0 and parabola y² = 4x cut at the points (x_i, y_i); i = 1, 2, 3, 4 then y₁ + y₂ + y₃ + y₄ is equal to

• A. 0
• B. 1
• C. –1
• D. 24

Answer 1

Answer: (A)

0

Answer 2

x² + y² + 2x + 4y –1 = 0

y² = 4x

̃ x = y²/4

$\frac{y^{4}}{16}$ + y² + 2$\frac{y^{2}}{4}$+ 4y – 1 = 0

y⁴ + 16y² + 8y² + 64y – 16 = 0

y⁴ + 24y² + 64y – 16 = 0

y₁, y₂, y₃, y₄

y₁ + y₂ + y₃ + y₄ = 0