Prove that the tangents and normals at the ends of latus rectum of a parabola form the sides of a square. The Next CEO of Stack OverflowApplication of derivative - tangents to latus rectumThe focus and length of the latus rectum of the parabola $y = x tan theta - fracgx^22u^2 cos^2 theta$What is the significance of Latus Rectum?Find the latus rectum of the ParabolaLatus rectum of a parametric parabolaLength of latus rectum of parabola given the equation of the tangent to the parabola, the point of tangency and focusLocus of a point from where product of length of tangents to parabola equals product of its latus rectum and focal distance of the pointFind vertex of parabola given latus rectum.Find the equation of the parabola in which the ends of the latus rectumFinding the vertex, axis, focus, directrix, and latus rectum of the parabola $sqrtx/a+sqrty/b=1$
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Prove that the tangents and normals at the ends of latus rectum of a parabola form the sides of a square.
The Next CEO of Stack OverflowApplication of derivative - tangents to latus rectumThe focus and length of the latus rectum of the parabola $y = x tan theta - fracgx^22u^2 cos^2 theta$What is the significance of Latus Rectum?Find the latus rectum of the ParabolaLatus rectum of a parametric parabolaLength of latus rectum of parabola given the equation of the tangent to the parabola, the point of tangency and focusLocus of a point from where product of length of tangents to parabola equals product of its latus rectum and focal distance of the pointFind vertex of parabola given latus rectum.Find the equation of the parabola in which the ends of the latus rectumFinding the vertex, axis, focus, directrix, and latus rectum of the parabola $sqrtx/a+sqrty/b=1$
$begingroup$
Prove that the tangents and normals at the ends of the latus rectum of a parabola form the sides of a square.
I could see that the angle between the tangent and normal is $90$ degree but could not see the rest.
geometry analytic-geometry conic-sections tangent-line
asked yesterday
Ger WynGer Wyn
15619
$endgroup$
add a comment |
$begingroup$
Prove that the tangents and normals at the ends of the latus rectum of a parabola form the sides of a square.
I could see that the angle between the tangent and normal is $90$ degree but could not see the rest.
geometry analytic-geometry conic-sections tangent-line
asked yesterday
Ger WynGer Wyn
15619
$endgroup$
$begingroup$
HINT: tangents form angles of 45° with the line joining tangency points.
$endgroup$
– Aretino
yesterday
$begingroup$
Instead of “seeing” it, you might write down the equations of the relevant lines and work out where they intersect.
$endgroup$
– amd
yesterday
add a comment |
$begingroup$
Prove that the tangents and normals at the ends of the latus rectum of a parabola form the sides of a square.
I could see that the angle between the tangent and normal is $90$ degree but could not see the rest.
geometry analytic-geometry conic-sections tangent-line
asked yesterday
Ger WynGer Wyn
15619
$endgroup$
Prove that the tangents and normals at the ends of the latus rectum of a parabola form the sides of a square.
I could see that the angle between the tangent and normal is $90$ degree but could not see the rest.
geometry analytic-geometry conic-sections tangent-line
geometry analytic-geometry conic-sections tangent-line
asked yesterday
Ger WynGer Wyn
15619
asked yesterday
Ger WynGer Wyn
15619
asked yesterday
Ger WynGer Wyn
15619
asked yesterday
Ger WynGer Wyn
15619
asked yesterday
Ger WynGer Wyn
15619
15619
$begingroup$
HINT: tangents form angles of 45° with the line joining tangency points.
$endgroup$
– Aretino
yesterday
$begingroup$
Instead of “seeing” it, you might write down the equations of the relevant lines and work out where they intersect.
$endgroup$
– amd
yesterday
add a comment |
$begingroup$
HINT: tangents form angles of 45° with the line joining tangency points.
$endgroup$
– Aretino
yesterday
$begingroup$
Instead of “seeing” it, you might write down the equations of the relevant lines and work out where they intersect.
$endgroup$
– amd
yesterday
$begingroup$
HINT: tangents form angles of 45° with the line joining tangency points.
$endgroup$
– Aretino
yesterday
$begingroup$
HINT: tangents form angles of 45° with the line joining tangency points.
$endgroup$
– Aretino
yesterday
$begingroup$
Instead of “seeing” it, you might write down the equations of the relevant lines and work out where they intersect.
$endgroup$
– amd
yesterday
$begingroup$
Instead of “seeing” it, you might write down the equations of the relevant lines and work out where they intersect.
$endgroup$
– amd
yesterday
add a comment |
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$begingroup$
HINT: tangents form angles of 45° with the line joining tangency points.
$endgroup$
– Aretino
yesterday
$begingroup$
Instead of “seeing” it, you might write down the equations of the relevant lines and work out where they intersect.
$endgroup$
– amd
yesterday