Question

If line through point $P(a,2)$ meets the ellipse $\frac{x^2}{9}+\frac{y^2}{4}=1$ at A and D and meets the coordinate axis at B and C

score 2.5k · Answer 1 · 2015-10-08 16:21:34

If line through point $P(a,2)$ meets the ellipse $\frac{x^2}{9}+\frac{y^2}{4}=1$ at A and D and meets the coordinate axis at B and C

score 304 · Answer 2 · 2026-04-12 04:44:51

304

Views

How to prove (quickly) equivalence between those two conic section definitions?

Published on 12 Apr 2026 - 4:44

score 732 · Answer 3 · 2015-10-09 08:26:26

732

Views

Find the equation of the straight line which is both a tangent and normal to the curve $x=3t^2,y=2t^3?$

Published on 09 Oct 2015 - 8:26

score 174 · Answer 4 · 2015-10-09 10:42:43

Let $m_1$ and $m_2$ are the slopes of the tangents drawn to circle $x^2+y^2-4x-8y-5=0$ from the point $P(-1,-2)$,and $|m_1+m_2|=\frac{p}{q}$

score 63 · Answer 5 · 2026-03-31 21:10:39

63

Views

How do you find the greatest rectangle of given ratios that can be cut from another fixed rectangle?

Published on 31 Mar 2026 - 21:10

score 167 · Answer 6 · 2015-10-12 12:25:35

167

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Let $M$ be the locus of the feet of the perpendiculars drawn from the points on $L$ to the plane $P_1$

Published on 12 Oct 2015 - 12:25

score 43 · Answer 7 · 2026-04-11 03:03:18

43

Views

Find the feet of perpendiculars on a plane

Published on 11 Apr 2026 - 3:03

score 336 · Answer 8 · 2015-10-14 05:26:06

336

Views

Two point form of solving straight line problems in coordinate geometry

Published on 14 Oct 2015 - 5:26

score 177 · Answer 9 · 2015-10-14 22:49:12

177

Views

Find a shape that fits inside a box, given it may be drawn with thick pen

Published on 14 Oct 2015 - 22:49

score 79 · Answer 10 · 2026-04-02 21:53:24

79

Views

Parametrics, when $t$ is not in between $0<t<1$

Published on 02 Apr 2026 - 21:53

score 336 · Answer 11 · 2026-03-15 22:26:35

336

Views

How can I determine the sides in a squished hexagon?

Published on 15 Mar 2026 - 22:26

score 755 · Answer 12 · 2026-04-12 18:36:25

755

Views

Plucker's $\mu$

Published on 12 Apr 2026 - 18:36

score 66 · Answer 13 · 2026-04-12 06:51:02

66

Views

If for any external point, exactly two tangents can be drawn to an algebraic curve, must the curve be a conic?

Published on 12 Apr 2026 - 6:51

score 4.5k · Answer 14 · 2015-10-16 04:53:49

For $a>b>c>0$,the distance between $(1,1)$ and the point of intersection of the lines $ax+by+c=0$ and the $bx+ay+c=0$ is less than $2\sqrt2$

score 1.2k · Answer 15 · 2026-04-03 15:58:18

1.2k

Views

Find the locus of intersection of tangents to an ellipse if the lines joining the points of contact to the centre be perpendicular.

Published on 03 Apr 2026 - 15:58

List Question

If line through point $P(a,2)$ meets the ellipse $\frac{x^2}{9}+\frac{y^2}{4}=1$ at A and D and meets the coordinate axis at B and C

How to prove (quickly) equivalence between those two conic section definitions?

Find the equation of the straight line which is both a tangent and normal to the curve $x=3t^2,y=2t^3?$

Let $m_1$ and $m_2$ are the slopes of the tangents drawn to circle $x^2+y^2-4x-8y-5=0$ from the point $P(-1,-2)$,and $|m_1+m_2|=\frac{p}{q}$

How do you find the greatest rectangle of given ratios that can be cut from another fixed rectangle?

Let $M$ be the locus of the feet of the perpendiculars drawn from the points on $L$ to the plane $P_1$

Find the feet of perpendiculars on a plane

Two point form of solving straight line problems in coordinate geometry

Find a shape that fits inside a box, given it may be drawn with thick pen

Parametrics, when $t$ is not in between $0<t<1$

How can I determine the sides in a squished hexagon?

Plucker's $\mu$

If for any external point, exactly two tangents can be drawn to an algebraic curve, must the curve be a conic?

For $a>b>c>0$,the distance between $(1,1)$ and the point of intersection of the lines $ax+by+c=0$ and the $bx+ay+c=0$ is less than $2\sqrt2$

Find the locus of intersection of tangents to an ellipse if the lines joining the points of contact to the centre be perpendicular.

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