contestada

a) How many times does the line y = -6 intersect with the circle x² + y² = 36 ?
b) Hence, use a single word to describe what the line is to the circle.

Respuesta :

mhanifa

Answer:

  • a) Once,
  • b) Tangent.

Step-by-step explanation:

Part A

General equation of circle:

  • (x - h)² + (y - k)² = r², where (h, k) is center and r- radius

Comparing with the general equation we see that the circle x² + y² = 36 has:

  • Center at the origin,
  • Radius of 6 units.

The circle radius of 6 units, so y = - 6 has only one common point.

Part B

Since there is only one common point of the circle and line, the line is tangent to the circle.

Otras preguntas