Question

4 normals can be drawn from any point to an ellipse proof doubt: How do we know the key quartic has 4 distinct real roots?

score 2.7k · Answer 1 · 2018-08-30 17:20:12

2.7k

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4 normals can be drawn from any point to an ellipse proof doubt: How do we know the key quartic has 4 distinct real roots?

Published on 30 Aug 2018 - 17:20

score 553 · Answer 2 · 2018-08-30 20:23:28

553

Views

Show that the equation $(a^2+1)x^2 + 2(a+b) xy + (b^2+1)y^2 =c$ represents an ellipse

Published on 30 Aug 2018 - 20:23

score 61 · Answer 3 · 2018-08-30 20:44:28

61

Views

Find the equation of the conic

Published on 30 Aug 2018 - 20:44

score 163 · Answer 4 · 2018-08-31 11:41:31

163

Views

Showing that $(5 \cos t, 5 \sin t, 10t)$ parameterizes an ellipse

Published on 31 Aug 2018 - 11:41

score 39 · Answer 5 · 2018-09-01 09:30:34

39

Views

Finding vertex of $xy^2=1$ .

Published on 01 Sep 2018 - 9:30

score 117 · Answer 6 · 2026-03-24 23:56:09

117

Views

Does proof of the fact that a line only intersects a conic section once imply that it is either a tangent to the conic section?

Published on 24 Mar 2026 - 23:56

score 57 · Answer 7 · 2018-09-02 04:14:10

57

Views

Value of $g,f$ in a circle

Published on 02 Sep 2018 - 4:14

score 69 · Answer 8 · 2026-03-25 17:36:19

69

Views

Proving a triangle to be isosceles.

Published on 25 Mar 2026 - 17:36

score 378 · Answer 9 · 2018-09-03 02:56:59

378

Views

Show that the equation represents an ellipsoid.

Published on 03 Sep 2018 - 2:56

score 198 · Answer 10 · 2018-09-03 12:26:35

198

Views

Relation between slopes of a quadrilateral with endpoints on a hyperbola?

Published on 03 Sep 2018 - 12:26

score 353 · Answer 11 · 2018-09-04 07:26:30

353

Views

how to find parameter of rotated ellipse enclosing by a rectangle H and W is given?

Published on 04 Sep 2018 - 7:26

score 59 · Answer 12 · 2018-09-10 13:50:11

59

Views

To find the equation of the ellipse with foci $\pm3i$ that goes through the point $8-3i$.

Published on 10 Sep 2018 - 13:50

score 345 · Answer 13 · 2026-03-25 07:06:06

345

Views

Parabola touching a circle

Published on 25 Mar 2026 - 7:06

score 22.4k · Answer 14 · 2026-03-25 11:10:23

22.4k

Views

Area of ellipse using double integral

Published on 25 Mar 2026 - 11:10

score 713 · Answer 15 · 2026-03-25 07:06:03

713

Views

Transformation from Circle to Parabola

Published on 25 Mar 2026 - 7:06

List Question

4 normals can be drawn from any point to an ellipse proof doubt: How do we know the key quartic has 4 distinct real roots?

Show that the equation $(a^2+1)x^2 + 2(a+b) xy + (b^2+1)y^2 =c$ represents an ellipse

Find the equation of the conic

Showing that $(5 \cos t, 5 \sin t, 10t)$ parameterizes an ellipse

Finding vertex of $xy^2=1$ .

Does proof of the fact that a line only intersects a conic section once imply that it is either a tangent to the conic section?

Value of $g,f$ in a circle

Proving a triangle to be isosceles.

Show that the equation represents an ellipsoid.

Relation between slopes of a quadrilateral with endpoints on a hyperbola?

how to find parameter of rotated ellipse enclosing by a rectangle H and W is given?

To find the equation of the ellipse with foci $\pm3i$ that goes through the point $8-3i$.

Parabola touching a circle

Area of ellipse using double integral

Transformation from Circle to Parabola

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