If from a fixed point, a straight line is drawn to cut a given circle, then how would I show that the rectangle contained by the segments is constant? (I can't form a good sketch of the figure required for this. And I can't figure out how to even begin)
2026-03-30 02:46:38.1774838798
To prove rectangles contained by circle segments are constant
77 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in ANALYTIC-GEOMETRY
- Asymptotes of hyperbola
- Position of point with respect to hyperbola
- Length of Shadow from a lamp?
- Show that the asymptotes of an hyperbola are its tangents at infinity points
- Surface by revolution
- All possible values of coordinate k such that triangle ABC is a right triangle?
- Triangle inside triangle
- Is there an equation to describe regular polytopes?
- How do I prove that the gradient between a fixed and any general point on a given line is $m$?
- Three-Dimensional coordinate system
Related Questions in CIRCLES
- Point in, on or out of a circle
- Constrain coordinates of a point into a circle
- Circle inside kite inside larger circle
- How to find 2 points in line?
- Properties of a eclipse on a rotated plane to see a perfect circle from the original plane view?
- Complex numbers - prove |BD| + |CD| = |AD|
- Number of line segments to approximate a circle
- Right Angles in Circles
- Simpler Derivation of $\sin \frac{\pi}{4} = \cos \frac{\pi}{4} = \frac{1}{\sqrt{2}}$,
- Prove that the common chord passes through the origin.
Related Questions in POLAR-COORDINATES
- Second directional derivative of a scaler in polar coordinate
- polar coordinate subtitution
- $dr$ in polar co-ordinates
- Finding the centroid of a triangle in hyperspherical polar coordinates
- Arc length of polar function and x interceps
- Evaluation of $I=\iint_R e^{-(x^2+y^2)} \,dx\,dy$ by change of variable
- Finding area bound by polar graph
- Question about the roots of a complex polynomial
- Polar Area Integral with Absolute Function
- How to compute 'polar form' of a line given two points in cartesian coordinate system?
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?