Intersection of a Line and a Circle (Leaving Cert Mathematics): Quizzes

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Intersection of a Line and a Circle
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10 questions from this quiz

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How many ways can a line interact with a circle?

Three

What is a tangent to a circle?

A line intersecting at one point

What is the point where a tangent meets a circle called?

Point of contact

What do two different solutions indicate?

Line intersects at two points

What does one repeated solution indicate?

Line is tangent

What do no real solutions indicate?

Line doesn't intersect circle

What method finds line-circle intersections?

Simultaneous equations

For x+3y−5=0x + 3y - 5 = 0 and x2+y2=5x^2 + y^2 = 5, which is an intersection point?

(−1,2)(-1, 2)

For line 3x+y+10=03x + y + 10 = 0 and circle x2+y2=10x^2 + y^2 = 10, what is the point of contact?

(−3,−1)(-3, -1)

When expressing the line equation, what should you avoid?

Fractions where possible

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