Question

can a secant line passes through the center of the circle and cut the circle in half?? is that even possible?? if its possible what whill happen to the diameter and secant relationship or its not possible?

Answer #1

A secant of a curve is a line that intersects the curve at least twice.

In case of a circle, a secant is a line that intersects the circle exactly twice. The line segment joining the two points where the secant intersects the circle is a chord. Since a secant intersects the circle at any two points it can go through the center and intersect two points on the circle too. So it is possible for secant to pass through the center of a circle.

If the secant passes through the centre of the circle, the line segment joining the two points of intersection is a diameter.

It can thus be seen that the diameter is a line segment whereas a secant is a line.

A line segment cannot be equal to the line on which it lies.

⇒A diameter of a circle cannot be equal to the secant of the circle.

A
tangent to a circle at the point (5,5) passes through the origin.
The line with equation 3y=x+2 is a normal to the circle.
(i) Show all working, find the equation of the circle.
(ii) Find the coordinates of the point on the circle whih is
nearest to the x-axis.

Find an equation of the circle that satisfies the given
conditions.
Center (2,-3) and passes through (5,2)

In the construction of a perpendicular line through a point not
on the line, how can we ensure that the circle will cut the line in
two points and not just one?
please find someone understand this question to help me answer
this question

In ▲XYZ, ∠X = 52° and ∠Y = 57°. One circle passes through Y, Z,
and the incenter of ▲XYZ, and a second circle passes through X, Z,
and the circumcenter of ▲XYZ. What is the degree measure of the
acute angle the two circles intersect at?
this is all the information of this question

The ________ is a straight line that summarizes a linear
relationship by passing through the center of the scores on a
scatterplot. curvilinear line non-linear line linear regression
line correlation coefficient

What is the equation of a line that passes through the origin
and is perpendicular to the line whose equation is 12x - 4y =
24?

A long, straight conductor passes through the center of a metal
ring, perpendicular to its plane. If the current in the conductor
increases, is a current induced in the ring? Explain.

A. Line l passes through point (−4,47) and line p is the graph
of y+1=−5(x+5).
If l is parallel to p what is the equation of l?
B. Line l passes through point (4,4) and line p is
the graph of 2x−3y=10.
If l⊥p, what is the equation of l?

A uniform magnetic field of strength 22.3 mT passes through the
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the magnetic flux through the coil?

The line l1 has the direction vector h1,0,−1i and passes through
the point (0,−1,−1). The line l2 passes through the points (1,2,3)
and (1,3,2).
a. [2] What is the angle between l1 and l2 in radians? The
answer should lie between 0 and π/2.
b. [6] What is the distance between l1 and l2?

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