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Anika [276]
3 years ago
10

How many times does the line y=-6 intersect with the circle x^2+y^2=36?

Mathematics
1 answer:
HACTEHA [7]3 years ago
4 0

Answer:

a) The line intersects with the circle once.

b) Tangent

Step-by-step explanation:

We are given the following equation for the circle:

x^2 + y^2 = 36

How many times does the line y=-6 intersect with the circle?

We have to find the values of x when y = -6

So

x^2 + y^2 = 36

x^2 + (-6)^2 = 36

x^2 + 36 = 36

x^2 = 0

x = 0

Since the line intersects the circle at one point, it is tangent to the circle.

The line intersects with the circle once.

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