A Tangent Contains At Most How Many Chords?

A

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Does a tangent contain a chord?

Chords: A chord of a circle is a segment that you draw from one point on the circle to another point on the circle. … A tangent can’t be a chord because a chord touches a circle in two points crossing through the inside of the circle.

Which statement is correct about tangent?

The line segment which joins the point of contact of two parallel tangents to the circle is the diameter of the circle. Tangents drawn from the external points subtends equal angle at the centre. All option are correct.

How many points of intersection does a tangent line and a circle have?

two points

Tangent lines to one circle. A tangent line t to a circle C intersects the circle at a single point T. For comparison secant lines intersect a circle at two points whereas another line may not intersect a circle at all.

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How many times can two tangent lines intersect inside a circle?

A line can only intersect a circle 0 1 or 2 times: twice for chords and secants once for tangents.

What is a tangent-chord?

The Tangent-Chord Theorem states that the angle formed between a chord and a tangent line to a circle is equal to the inscribed angle on the other side of the chord: ∠BAD ≅ ∠BCA.

What is tangent and chord in geometry?

A line will meet a circle at no more than two points. We call a line a secant if it intersects twice and a tangent if it intersects once (just touching at a single point). Chords are segments connecting two points on a circle so chords become secants when extended. GeometryCircles in Geometry.

What is an angle whose vertex is on a circle whose sides contain chords of the circle?

inscribed angle
An angle whose vertex lies on a circle and whose sides intercept the circle (the sides contain chords of the circle) is called an inscribed angle. The measure of an inscribed angle is half the measure of the arc it intercepts.

What is the ratio of the hypotenuse to the opposite side with respect to the given angle?

Let us start with some definitions. We will call the ratio of the opposite side of a right triangle to the hypotenuse the sine and give it the symbol sin. The ratio of the adjacent side of a right triangle to the hypotenuse is called the cosine and given the symbol cos.

How many tangents are there?

A circle can have infinite tangents.

But a set of two lines can pass through the circle by just touching it at one and only one point. Such lines are called tangent lines or simply as tangents to the circle from a given point. It may be noted that from a particular point outside a circle only two tangents can be drawn.

How many tangents are seen at the point of the circle?

one tangent

Solution: A tangent to a circle is a line that intersects the circle at only one point. On every point on the circle one tangent can be drawn as shown in the figure below.

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How many tangents can a circle have at a point?

infinite tangents

Circle is the locus of points equidistant from a given point which is the centre of the circle. And tangent is the line which intersects a circle at one point only. on these points which touches at only one point. Hence a circle can have infinite tangents.

How many parallel tangents at most a circle can have?

two parallel tangents

Answer: Secant

(iii) A circle can have two parallel tangents at the most. A tangent at any point of a circle is perpendicular to the radius through the point of contact.

What is the maximum number of tangents that can be drawn to a circle passing through a given point on that circle?

two tangents
Theorem: Exactly two tangents can be drawn from an exterior point to a given circle.

Which line contains a chord of a circle?

secant line
A secant line is a line that intersects a circle at two points. Every secant line therefore contains a chord of the circle it intersects.

How do you find a tangent chord?

How do you solve a tangent chord?

How do you find the tangent chord theorem?

Is tangent perpendicular chord?

At the point of tangency it is perpendicular to the radius. A chord and tangent form an angle and this angle is the same as that of tangent inscribed on the opposite side of the chord. From the same external point the tangent segments to a circle are equal.

What is the tangent angle?

The tangent of an angle is the trigonometric ratio between the adjacent side and the opposite side of a right triangle containing that angle. tangent=length of the leg opposite to the anglelength of the leg adjacent to the angle abbreviated as “tan”

What is the two tangent theorem?

The Two-Tangent Theorem states that if two tangent segments are drawn to one circle from the same external point then they are congruent.

What is an angle whose sides are tangent to a circle?

Circumscribed Angle An angle whose sides are tangent to a circle.

How many vertex does a circle have?

a circle have 0 vertex.

What is an angle whose vertex is on a circle and whose sides contain chords of the circle * 1 point?

inscribed angle
An inscribed angle is an angle whose vertex lies on a circle and its two sides are chords of the same circle.

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Which is opposite adjacent and hypotenuse?

In a right triangle the hypotenuse is the longest side an “opposite” side is the one across from a given angle and an “adjacent” side is next to a given angle.

How do you find the hypotenuse of a tangent?

How do you find the hypotenuse with opposite angles?

How many types of tangents We have studied which are those?

There are two external tangents and one internal tangent.

How many tangent can pass through a line?

Hint: Only one tangent can be drawn to a circle from a point on the same circle we will prove this by constructing a line perpendicular to the radius and will prove that all other points of the line lie exterior of the circle and hence touches the circle at a single point.

How many tangents does a curve have?

There can be infinitely many tangents to a curve (not always ofcourse). For eg. consider y=sinx and the line y=1. It touches the curve at infinitely many points.

How many chords can be drawn in a circle?

Number of chords that can be formed using the 21 points =21×20×19! 2×1×19! Therefore the number of chords that can be formed using the 21 points lying on the circle is 210 chords.

How many tangents can 2 circles have?

when considered two circles. There can be three tangents in common. The one tangent will be at the point of touching where the two circles are touching each other. The point of contact of both the circles.

How many tangents can be drawn parallel to the given tangent?

Answer: At the two ends of a diameter of a circle you can draw only two parallel tangents which will be perpendicular to the diameter. However you can draw infinite diameters to a circle. From an external point you can draw only one tangent to a circle and you cannot draw another tangent parallel to it.

How many numbers of tangents to a circle can be drawn which are parallel to a secant of a circle?

two tangents
There cannot be more than two tangents to a circle parallel to a given secant.

What is the maximum number of tangents?

The maximum number of tangents that can be drawn to a circle from a point outside it is 2. Hence the correct answer is 1 .

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