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How many points does the circle x2 plus y2 equals 36 and the line y equals x-10 have in common?
Wiki User
∙ 11y ago
X2 + Y2 = 36
Y = (+/-) sqrt(36 - X2)
=====================Radius = 6 (the circle is nicely oriented )
and
Y = X - 10
zeroing out variables in turn
Y = (0) - 10
Y = - 10
=======================
With a radius of only six for the circle and the line with these intersection points we can say with some confidence that this circle has no points in common with this line.
Wiki User
∙ 11y ago
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What is a straight line joining points on a circle?
A straight line joining points on a circle is called a "chord" of that circle. If the line happens to pass through the center of the circle, then it's a "diameter" of that circle. The question asked about "points" on a circle, so two points on the circumference of that circle are being considered. (No line can join more than two points of a circle.)
A line segment that connects any two points of a circle is called?
A chord is a line which connects two points which lie on a circle.
What is the answer if circle is a line that intersects a circle at 2 points?
pakyuu
How many points does a tangent line have in common with its circle?
one and only one point no matter how far produced.
What do you call the line that intersects the circle at two points?
A straight line that intersects a circle's circumference at two points will create a chord of which the circle's diameter is its largest chord.
Is it true that a circle and a line may have three points in common?
yes
What is a straight line joining points on a circle?
A straight line joining points on a circle is called a "chord" of that circle. If the line happens to pass through the center of the circle, then it's a "diameter" of that circle. The question asked about "points" on a circle, so two points on the circumference of that circle are being considered. (No line can join more than two points of a circle.)
Can a circle pass through three points of a straight line?
No, a circle can never pass through three points of a straight line. The circle will touch 1) no points of the line, 2) one point of the line (which is now tangent to the circle), or 3) two points of the line. A line can contain (at most) twopoints that lie on the line.
A line that intersects a circle in two points?
A chord line intersects a circle at two points of which the circle's diameter is its largest chord.
A tangent line is a line that intersects a circle at exactly two points?
No. A tangent touches the circle at exactly one point. A line that intersects a circle at exactly two points is a secant.
A line segment that connects any two points of a circle is called?
A chord is a line which connects two points which lie on a circle.
What is the answer if circle is a line that intersects a circle at 2 points?
pakyuu
How many points does a tangent line have in common with its circle?
one and only one point no matter how far produced.
What is a line joining two points on the circle?
A straight line connecting two points on a circle is a "Chord". If the chord goes through the center of the circle, it is called, "Diameter".
What do you call the line that intersects the circle at two points?
A straight line that intersects a circle's circumference at two points will create a chord of which the circle's diameter is its largest chord.
A line segment that intersects with two points on a circle is called what?
A line segment that intersects with or joins two points on a circle is called a chord.
A line joining two points on the circle?
A secant line.
