Question

Coordinate Geometry:Locus Based Problem

score 172 · Answer 1 · 2026-04-11 13:55:16

172

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Coordinate Geometry:Locus Based Problem

Published on 11 Apr 2026 - 13:55

score 39 · Answer 2 · 2026-04-11 18:19:20

39

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Locus of point satisfying a condition

Published on 11 Apr 2026 - 18:19

score 813 · Answer 3 · 2026-04-11 23:01:36

Show that an infinite number of triangles can be inscribed in either of the parabolas $y^2=4ax$ and $x^2=4by$ whose sides touch the other parabola.

score 69 · Answer 4 · 2026-04-10 05:26:49

69

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Analytically Understanding The Definite Integral As A Limit Of Sums

Published on 10 Apr 2026 - 5:26

score 4k · Answer 5 · 2015-08-30 09:46:57

Find the condition on $a$ and $b$ so that the two tangents drawn to the parabola $y^2=4ax$ from a point are normals to the parabola $x^2=4by$

score 2.8k · Answer 6 · 2015-08-30 12:19:43

Two straight lines one being a tangent to $y^2=4ax$ and the other to $x^2=4by$ are at right angles.Find the locus of their point of intersection.

score 2.2k · Answer 7 · 2015-08-30 13:34:41

Show that the locus of the centroids of equilateral triangles inscribed in the parabola $y^2=4ax$ is the parabola $9y^2-4ax+32a^2=0.$

score 47 · Answer 8 · 2015-08-31 09:43:30

47

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Write $CX,AY,BZ$ in terms of $CA,CB$ and the ratios $\alpha, \beta, \gamma$?

Published on 31 Aug 2015 - 9:43

score 48 · Answer 9 · 2015-08-31 19:39:00

48

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What is the shortest method to solve this sum?-Pair Of Straight Lines

Published on 31 Aug 2015 - 19:39

score 55 · Answer 10 · 2015-09-01 12:26:46

55

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In the triangle $ABC$, if $a=\frac{2(b^2-c^2)}{-b+\sqrt{b^2+4c^2}}$, prove that $3\cdot\widehat{C}=2\cdot\widehat{B}$.

Published on 01 Sep 2015 - 12:26

score 1.4k · Answer 11 · 2015-09-01 15:46:20

1.4k

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General equation of line that goes through center of a circle and a point

Published on 01 Sep 2015 - 15:46

score 74 · Answer 12 · 2015-09-02 02:04:48

74

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Given the tetrahedron $OABC$, find a condition on $a OA+ b OB + c OC$ such that this is always inside $ABC$.

Published on 02 Sep 2015 - 2:04

score 1.4k · Answer 13 · 2026-04-11 22:10:09

1.4k

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Finding A Quadratic Whose Roots Equals Intercept On Axes and Area Equals A

Published on 11 Apr 2026 - 22:10

score 416 · Answer 14 · 2026-04-12 16:42:36

416

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Equilateral Triangle Property

Published on 12 Apr 2026 - 16:42

score 779 · Answer 15 · 2026-03-28 14:53:41

779

Views

Cartesian coordinates for vertices of a regular polygon?

Published on 28 Mar 2026 - 14:53

List Question

Coordinate Geometry:Locus Based Problem

Locus of point satisfying a condition

Show that an infinite number of triangles can be inscribed in either of the parabolas $y^2=4ax$ and $x^2=4by$ whose sides touch the other parabola.

Analytically Understanding The Definite Integral As A Limit Of Sums

Find the condition on $a$ and $b$ so that the two tangents drawn to the parabola $y^2=4ax$ from a point are normals to the parabola $x^2=4by$

Two straight lines one being a tangent to $y^2=4ax$ and the other to $x^2=4by$ are at right angles.Find the locus of their point of intersection.

Show that the locus of the centroids of equilateral triangles inscribed in the parabola $y^2=4ax$ is the parabola $9y^2-4ax+32a^2=0.$

Write $CX,AY,BZ$ in terms of $CA,CB$ and the ratios $\alpha, \beta, \gamma$?

What is the shortest method to solve this sum?-Pair Of Straight Lines

In the triangle $ABC$, if $a=\frac{2(b^2-c^2)}{-b+\sqrt{b^2+4c^2}}$, prove that $3\cdot\widehat{C}=2\cdot\widehat{B}$.

General equation of line that goes through center of a circle and a point

Given the tetrahedron $OABC$, find a condition on $a OA+ b OB + c OC$ such that this is always inside $ABC$.

Finding A Quadratic Whose Roots Equals Intercept On Axes and Area Equals A

Equilateral Triangle Property

Cartesian coordinates for vertices of a regular polygon?

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