Identify the type of conic section for each of the following equations

1.	Identify the type of conic section for each of the following equations (i) x2 – 4y2 + 6x + 16y – 11 = 0 (ii) y2 – 8y + 4x – 3 = 0(iii) 4x2 – 9y2 = 36 (iv) 16x2 + 25y2 = 400 (v) 16x2 + 9y2 + 32x – 36y – 92 = 0 (vi) x2 + 4y2 – 8x – 16y – 68 = 0 (vii) x2 + y2 – 4x + 6y – 17 = 0
Answer» (i) Hyperbola (ii) Parabola (iii) Hyperbola (iv) Ellipse (v) Ellipse (vi) Ellipse (vii) Circle

Identify the type of conic section for each of the following equations (i) x2 – 4y2 + 6x + 16y – 11 = 0 (ii) y2 – 8y + 4x – 3 = 0(iii) 4x2 – 9y2 = 36 (iv) 16x2 + 25y2 = 400 (v) 16x2 + 9y2 + 32x – 36y – 92 = 0 (vi) x2 + 4y2 – 8x – 16y – 68 = 0 (vii) x2 + y2 – 4x + 6y – 17 = 0

Answer»

(i) Hyperbola

(ii) Parabola

(iii) Hyperbola

(iv) Ellipse

(v) Ellipse

(vi) Ellipse

(vii) Circle