Dtjytyk

Proof of work - lottery approach

How did Doctor Strange see the winning outcome in Avengers: Infinity War?

Closest Prime Number

How long to clear the 'suck zone' of a turbofan after start is initiated?

How to safely derail a train during transit?

How does Loki do this?

I'm in charge of equipment buying but no one's ever happy with what I choose. How to fix this?

CREATE opcode: what does it really do?

What is the opposite of 'gravitas'?

Integer addition + constant, is it a group?

Why are there no referendums in the US?

Term for the "extreme-extension" version of a straw man fallacy?

Pre-amplifier input protection

You cannot touch me, but I can touch you, who am I?

Is `x >> pure y` equivalent to `liftM (const y) x`

Different result between scanning in Epson's "color negative film" mode and scanning in positive -> invert curve in post?

How do scammers retract money, while you can’t?

Two monoidal structures and copowering

Would this custom Sorcerer variant that can only learn any verbal-component-only spell be unbalanced?

Hostile work environment after whistle-blowing on coworker and our boss. What do I do?

Opposite of a diet

What does the word "Atten" mean?

Is exact Kanji stroke length important?

How can I kill an app using Terminal?

Conic section circle question

Determine the radius of the circle knowing that…Help with Conic: Hyperbola's chord of contactLocus of vertex of a rectangleNumber of points of intersections, no of parts of chords inside circleA point $P$ on circle such that $QA,QP,QB$ are in Arithmetic ProgressionTangents are drawn to the circle $x^2+y^2=a^2$ from a point which always lies on the line $lx+my=1$.The points $r =(-4, 3), s= (7, 4)$ and $t= (8, -7)$ lie on a circle.derivation of equation of a hyperbola from the conic sectionSuppose I drew every chord in a circle. Is the chord/area ratio uniform or non-uniform?How does the perpendicular chords affect this circle geometry question?

1

2

$begingroup$

I have problem in solving this envelope question from degrande relations book. It's from part B of question parts. It says

The middle point of a chord of a circle $x^2 + y^2 = r^2$ is on a fixed line with equation $x=a$. Find the equation of envelope of such chords.

geometry analytic-geometry conic-sections

share|cite|improve this question

edited Mar 15 at 20:24

Aretino

25.7k31545

asked Mar 15 at 17:13

Karan alaviKaran alavi

63

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  What have you tried?
  $endgroup$
  – Aretino
  Mar 15 at 20:23
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Tried to find a equation of line and then setting delta in quadratic formula equal to zero .
  $endgroup$
  – Karan alavi
  Mar 15 at 22:19
  

  
  
  
  


• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  $begingroup$
  See here how to obtain the equation of the envelope of a family of lines: en.wikipedia.org/wiki/Envelope_(mathematics)
  $endgroup$
  – Aretino
  Mar 15 at 22:23
  

  
  
  
  

add a comment | 

1

2

$begingroup$

I have problem in solving this envelope question from degrande relations book. It's from part B of question parts. It says

The middle point of a chord of a circle $x^2 + y^2 = r^2$ is on a fixed line with equation $x=a$. Find the equation of envelope of such chords.

geometry analytic-geometry conic-sections

share|cite|improve this question

edited Mar 15 at 20:24

Aretino

25.7k31545

asked Mar 15 at 17:13

Karan alaviKaran alavi

63

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  What have you tried?
  $endgroup$
  – Aretino
  Mar 15 at 20:23
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Tried to find a equation of line and then setting delta in quadratic formula equal to zero .
  $endgroup$
  – Karan alavi
  Mar 15 at 22:19
  

  
  
  
  


• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  $begingroup$
  See here how to obtain the equation of the envelope of a family of lines: en.wikipedia.org/wiki/Envelope_(mathematics)
  $endgroup$
  – Aretino
  Mar 15 at 22:23
  

  
  
  
  

add a comment | 

$begingroup$

I have problem in solving this envelope question from degrande relations book. It's from part B of question parts. It says

The middle point of a chord of a circle $x^2 + y^2 = r^2$ is on a fixed line with equation $x=a$. Find the equation of envelope of such chords.

geometry analytic-geometry conic-sections

share|cite|improve this question

edited Mar 15 at 20:24

Aretino

25.7k31545

asked Mar 15 at 17:13

Karan alaviKaran alavi

63

$endgroup$

share|cite|improve this question

edited Mar 15 at 20:24

Aretino

25.7k31545

asked Mar 15 at 17:13

Karan alaviKaran alavi

63

share|cite|improve this question

edited Mar 15 at 20:24

Aretino

25.7k31545

asked Mar 15 at 17:13

Karan alaviKaran alavi

63

edited Mar 15 at 20:24

Aretino

25.7k31545

edited Mar 15 at 20:24

Aretino

25.7k31545

asked Mar 15 at 17:13

Karan alaviKaran alavi

63

asked Mar 15 at 17:13

Karan alaviKaran alavi

63