Question

If the combined equation of the tangents from $(11,3)$ to the circle $x^2+y^2=65$ is $(11x+3y-65)^2+k(x^2+y^2-65)=0$, find $k$

score 337 · Answer 1 · 2020-01-26 11:11:09

If the combined equation of the tangents from $(11,3)$ to the circle $x^2+y^2=65$ is $(11x+3y-65)^2+k(x^2+y^2-65)=0$, find $k$

score 60 · Answer 2 · 2026-04-02 05:01:55

60

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If the circles $x^2+y^2=c^2$ and $x^2+y^2+2ax=0$ touch each other, then prove that $4a^2=c^2$

Published on 02 Apr 2026 - 5:01

score 214 · Answer 3 · 2020-01-27 22:22:04

214

Views

Intersection curve of two paraboloids

Published on 27 Jan 2020 - 22:22

score 573 · Answer 4 · 2020-01-28 12:56:24

573

Views

Find center of circle touching circle $x^2+y^2-4x-6y-12=0$ internally at $(-1,-1)$

Published on 28 Jan 2020 - 12:56

score 64 · Answer 5 · 2020-01-29 17:02:31

Find locus of center of circle passing origin, A and B, with AB at a constant distance $c$ from origin and intersecting axes at A and B.

score 50 · Answer 6 · 2020-01-30 16:39:14

50

Views

Questions on equations for ellipse and hyperbola

Published on 30 Jan 2020 - 16:39

score 130 · Answer 7 · 2026-04-02 06:46:43

130

Views

Why is $4x^2 -3y^2 + 8x +12y-4 =0$ not a valid hyperbola?

Published on 02 Apr 2026 - 6:46

score 827 · Answer 8 · 2026-03-29 20:11:33

827

Views

What is the significance of the parameter in the parametric equation of a parabola?

Published on 29 Mar 2026 - 20:11

score 212 · Answer 9 · 2026-04-02 06:45:08

212

Views

Prove that the furthest point from the centre of ellipse is its vertex

Published on 02 Apr 2026 - 6:45

score 164 · Answer 10 · 2020-02-03 11:28:59

164

Views

Getting incorrect equation of circle passing through two points and a line passing through the center of the circle.

Published on 03 Feb 2020 - 11:28

score 258 · Answer 11 · 2020-02-03 13:00:10

Find the set of points on the axis of the parabola $y^2-2y-4x+5=0$ from which all three normals to the parabola are real.

score 388 · Answer 12 · 2020-02-03 15:11:41

388

Views

Find the locus of point of intersection of the two tangents to the parabola $y^2=4ax$

Published on 03 Feb 2020 - 15:11

score 416 · Answer 13 · 2020-02-03 15:41:29

Line $x-1=0$ is directrix of parabola $y^2-kx +8=0$ that intersects circle $x^2+y^2=4$ at two distinct real points

score 463 · Answer 14 · 2020-02-03 16:57:32

Find the point of intersection of the two tangents at the end points of the latusrectum of the parabola $(y+3)^2=8(x-2)$

score 348 · Answer 15 · 2020-02-03 19:33:02

348

Views

Is the angle of reflection of a light beam in an ellipse always the same as the angle of incidence?

Published on 03 Feb 2020 - 19:33

List Question

If the combined equation of the tangents from $(11,3)$ to the circle $x^2+y^2=65$ is $(11x+3y-65)^2+k(x^2+y^2-65)=0$, find $k$

If the circles $x^2+y^2=c^2$ and $x^2+y^2+2ax=0$ touch each other, then prove that $4a^2=c^2$

Intersection curve of two paraboloids

Find center of circle touching circle $x^2+y^2-4x-6y-12=0$ internally at $(-1,-1)$

Find locus of center of circle passing origin, A and B, with AB at a constant distance $c$ from origin and intersecting axes at A and B.

Questions on equations for ellipse and hyperbola

Why is $4x^2 -3y^2 + 8x +12y-4 =0$ not a valid hyperbola?

What is the significance of the parameter in the parametric equation of a parabola?

Prove that the furthest point from the centre of ellipse is its vertex

Getting incorrect equation of circle passing through two points and a line passing through the center of the circle.

Find the set of points on the axis of the parabola $y^2-2y-4x+5=0$ from which all three normals to the parabola are real.

Find the locus of point of intersection of the two tangents to the parabola $y^2=4ax$

Line $x-1=0$ is directrix of parabola $y^2-kx +8=0$ that intersects circle $x^2+y^2=4$ at two distinct real points

Find the point of intersection of the two tangents at the end points of the latusrectum of the parabola $(y+3)^2=8(x-2)$

Is the angle of reflection of a light beam in an ellipse always the same as the angle of incidence?

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