Is a diameter intersects the circle in exactly two points?

A chord is an line segment that has any two points on the circumference as its end-points. A chord always lies inside a circle. A diameter of a circle is a chord that contains the center of the circle. A secant is a line that intersects the circle at two points.

Is it true or false every diameter intersects the circle in exactly two points?

Answer: Both the statements are true We know that a diameter of a circle will always pass through the center. Hence, the two diameters of a circle will necessarily intersect at the center.

What intersects a circle at exactly two points?

A line that intersects a circle at exactly two points is called a secant line.

Is every diameter of a circle also a chord True or false?

(a) Yes , every diameter of a circle is a chord.

When two chords intersect they intersect at the center of the circle?

When two chords intersect each other inside a circle, the products of their segments are equal. It is a little easier to see this in the diagram on the right. Each chord is cut into two segments at the point of where they intersect.

Is circle an intersecting line?

In geometry, a line meeting a circle in exactly one point is known as a tangent line, while a line meeting a circle in exactly two points in known as a secant line (Rhoad et al. …

Which of the following statements is false a two diameters of a circle will necessarily intersect?

Answer Expert Verified (a) Two diameters of a circle will necessarily intersect. ans- yes, true as the diameters of the circle is longest chord and is always in the centre in horizontal or vertical of the circle.. so thus we can say that it is true.

Is every diameter of circle also called?

Every diameter of a circle is also a chord.

Is every diameter of a circle also a diameter?

When the chord passes through the centre of a circle, it is called the diameter. (b) No, every chord of a circle is not a diameter because the diameter passes through the circle’s centre. Therefore, every diameter of a circle is also a chord, and every chord of a circle is not a diameter.

When the chords intersect with each other inside the circle the products of their segments are equal?

This is stated as a theorem. Figure 1 Two chords intersecting inside a circle. Theorem 83: If two chords intersect inside a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

When two chords intersect at a point on the circle an inscribed angle is formed True or false?

In geometry, an inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.

What is intersect in circle?

Two circles may intersect in two imaginary points, a single degenerate point, or two distinct points. If three circles mutually intersect in a single point, their point of intersection is the intersection of their pairwise radical lines, known as the radical center. …

Which line does not intersect a circle in two points?

Any line that intersects a given circle at two different points is called a SECANT of that circle and part of secant intercepted between these points is called CHORD of that circle. Secant is a line and chord is a line segment. And tangent does not intersect circle in two points. So, correct answer is A .

What is the diameter and radius of a circle?

The diameter is the length of the line through the centre that touches two points on the circle’s edge. The radius is half of the diameter. It starts from a point on the circle and ends at the centre of the circle. The diameter divides the circle into two equal halves called semi-circles

What is it called when two circles meet at the same point?

Coplanar Circles and Common TangentsIn a plane, two circles can intersect in two points, one point, or no points. Coplanar circles that intersect in one point are called tangent circles. Coplanar circles that have a common center are called concentric circles.

What is a common tangent between two circles?

A line or segment that is tangent to two coplanar circles is called a common tangent. A common internal tangent intersects the segment that joins the centers of the two circles. A common external tangent does not intersect the segment that joins the centers of the two circles.