Question

The vertex of a parabola is at (3,2) and its directrix is $x-y+1=0$. Find the equation of latus rectum.

score 731 · Answer 1 · 2020-02-25 14:35:28

731

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The vertex of a parabola is at (3,2) and its directrix is $x-y+1=0$. Find the equation of latus rectum.

Published on 25 Feb 2020 - 14:35

score 591 · Answer 2 · 2020-02-25 16:14:15

591

Views

A tangent is drawn to the parabola $y^2=4x$ at the point P whose abscissa lies in the interval $[1,4]$.

Published on 25 Feb 2020 - 16:14

score 231 · Answer 3 · 2020-02-26 12:41:25

Find the locus of the foot of perpendiculars drawn from the vertex on a variable tangent to the parabola $y^2=4ax$

score 181 · Answer 4 · 2020-02-26 14:36:55

181

Views

Given parabola $y^2=4x$, find locus of mid points of chords that are of length $2l$

Published on 26 Feb 2020 - 14:36

score 384 · Answer 5 · 2026-03-28 22:55:18

384

Views

Conics consisting of two points/lines makes them rank 2

Published on 28 Mar 2026 - 22:55

score 57 · Answer 6 · 2020-02-27 13:21:17

A normal is drawn to $y^2=4ax$ at $P(at^2,2at)$. If it meets parabola at $Q$ again, find $t$ such that $PQ$ is minimum

score 926 · Answer 7 · 2020-02-28 04:38:45

926

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How to solve a rotated ellipse equation for y?

Published on 28 Feb 2020 - 4:38

score 53 · Answer 8 · 2026-03-29 17:27:38

53

Views

General equation of some interesting chords of a conic in homogenous coordinates

Published on 29 Mar 2026 - 17:27

score 158 · Answer 9 · 2020-03-02 07:17:24

158

Views

Determine position of ellipse that contacts two fixed ellipses

Published on 02 Mar 2020 - 7:17

score 119 · Answer 10 · 2020-03-02 08:53:44

119

Views

focus of parabola in general equation of conic

Published on 02 Mar 2020 - 8:53

score 1.1k · Answer 11 · 2020-03-02 12:29:46

From a point $(h,k)$, 3 distinct normals can be drawn to the parabola $y^2=4ax$ and the feet of these normals are $t_1,t_2,t_3$.

score 68 · Answer 12 · 2020-03-02 12:34:53

68

Views

How to find the ellipse perimeter and equation using this?

Published on 02 Mar 2020 - 12:34

score 1.1k · Answer 13 · 2020-03-02 13:04:17

A tangent is drawn at any point P on the parabola $y^2=8x$ and on is taken a point $Q(\alpha, \beta)$ from which...

score 286 · Answer 14 · 2020-03-02 13:46:16

286

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Find the equation of the common tangents of the circle $x^2+y^2-6y+4=0$ and the parabola $y^2=x$

Published on 02 Mar 2020 - 13:46

score 3.3k · Answer 15 · 2026-03-27 08:46:36

3.3k

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The $x$-coordinate of the two points $P$ and $Q$ on the parabola $y^2=8x$ are roots of $x^2-17x+11$.

Published on 27 Mar 2026 - 8:46

List Question

The vertex of a parabola is at (3,2) and its directrix is $x-y+1=0$. Find the equation of latus rectum.

A tangent is drawn to the parabola $y^2=4x$ at the point P whose abscissa lies in the interval $[1,4]$.

Find the locus of the foot of perpendiculars drawn from the vertex on a variable tangent to the parabola $y^2=4ax$

Given parabola $y^2=4x$, find locus of mid points of chords that are of length $2l$

Conics consisting of two points/lines makes them rank 2

A normal is drawn to $y^2=4ax$ at $P(at^2,2at)$. If it meets parabola at $Q$ again, find $t$ such that $PQ$ is minimum

How to solve a rotated ellipse equation for y?

General equation of some interesting chords of a conic in homogenous coordinates

Determine position of ellipse that contacts two fixed ellipses

focus of parabola in general equation of conic

From a point $(h,k)$, 3 distinct normals can be drawn to the parabola $y^2=4ax$ and the feet of these normals are $t_1,t_2,t_3$.

How to find the ellipse perimeter and equation using this?

A tangent is drawn at any point P on the parabola $y^2=8x$ and on is taken a point $Q(\alpha, \beta)$ from which...

Find the equation of the common tangents of the circle $x^2+y^2-6y+4=0$ and the parabola $y^2=x$

The $x$-coordinate of the two points $P$ and $Q$ on the parabola $y^2=8x$ are roots of $x^2-17x+11$.

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