Question

If $4\alpha^2–5\beta^2+6\alpha+1=0$.Prove that $x\alpha+y\beta+1=0$touches a Definite circle. Find the centre and radius of the circle.

score 118 · Answer 1 · 2026-03-26 03:13:30

118

Views

If $4\alpha^2–5\beta^2+6\alpha+1=0$.Prove that $x\alpha+y\beta+1=0$touches a Definite circle. Find the centre and radius of the circle.

Published on 26 Mar 2026 - 3:13

score 495 · Answer 2 · 2026-03-25 09:28:14

495

Views

The cyclic quadrilateral and the slopes of its sides

Published on 25 Mar 2026 - 9:28

score 212 · Answer 3 · 2026-03-25 11:13:19

212

Views

A concave quadrilateral cannot be circumscribed by an ellipse nor by a parabola.

Published on 25 Mar 2026 - 11:13

score 1.5k · Answer 4 · 2026-03-25 17:19:24

1.5k

Views

Smallest ellipse by area to enclose 2D points

Published on 25 Mar 2026 - 17:19

score 896 · Answer 5 · 2018-10-23 06:32:17

896

Views

Generate a circle centered on a line and touching 2 other circles

Published on 23 Oct 2018 - 6:32

score 877 · Answer 6 · 2018-10-25 13:16:23

877

Views

Angle between pair of tangents to a conic

Published on 25 Oct 2018 - 13:16

score 168 · Answer 7 · 2018-10-27 13:43:50

168

Views

Shortest distance between a point and a parabola.

Published on 27 Oct 2018 - 13:43

score 83 · Answer 8 · 2018-10-28 10:44:44

83

Views

Equation in variable $(x,y)$ represent curve in Cartesian plane

Published on 28 Oct 2018 - 10:44

score 71 · Answer 9 · 2018-10-29 17:45:09

71

Views

polygon of greatest area having vertices on parabola

Published on 29 Oct 2018 - 17:45

score 188 · Answer 10 · 2026-03-25 03:20:19

188

Views

How are these equivalent representations of an ellipse?

Published on 25 Mar 2026 - 3:20

score 606 · Answer 11 · 2026-03-25 12:53:35

606

Views

Geometric proof of equivalence between two constructs of ellipse

Published on 25 Mar 2026 - 12:53

score 104 · Answer 12 · 2026-03-25 18:49:08

104

Views

How can I prove the eccentricity of a quadratic conic is invariant under bijective affine transformations?

Published on 25 Mar 2026 - 18:49

score 169 · Answer 13 · 2018-10-31 16:47:31

169

Views

Locus of a vertex defining a circle intrinsic to a triangle

Published on 31 Oct 2018 - 16:47

score 323 · Answer 14 · 2018-11-01 14:49:39

323

Views

Number of Intersection points between lower half of an ellipse and a circle

Published on 01 Nov 2018 - 14:49

score 77 · Answer 15 · 2018-11-01 15:51:16

77

Views

How to find the equation of this ellipse?

Published on 01 Nov 2018 - 15:51

List Question

If $4\alpha^2–5\beta^2+6\alpha+1=0$.Prove that $x\alpha+y\beta+1=0$touches a Definite circle. Find the centre and radius of the circle.

The cyclic quadrilateral and the slopes of its sides

A concave quadrilateral cannot be circumscribed by an ellipse nor by a parabola.

Smallest ellipse by area to enclose 2D points

Generate a circle centered on a line and touching 2 other circles

Angle between pair of tangents to a conic

Shortest distance between a point and a parabola.

Equation in variable $(x,y)$ represent curve in Cartesian plane

polygon of greatest area having vertices on parabola

How are these equivalent representations of an ellipse?

Geometric proof of equivalence between two constructs of ellipse

How can I prove the eccentricity of a quadratic conic is invariant under bijective affine transformations?

Locus of a vertex defining a circle intrinsic to a triangle

Number of Intersection points between lower half of an ellipse and a circle

How to find the equation of this ellipse?

Trending Questions

Popular # Hahtags

Popular Questions