Question

If $\tan2\theta=\frac{b}{a-c}$, then $\cos 2\theta=\frac{a-c}{\sqrt{b^2+(a-c)^2}}$ and $\sin2\theta=\frac{b}{\sqrt{b^2+(a-c)^2}}$

score 87 · Answer 1 · 2026-03-27 12:28:56

87

Views

If $\tan2\theta=\frac{b}{a-c}$, then $\cos 2\theta=\frac{a-c}{\sqrt{b^2+(a-c)^2}}$ and $\sin2\theta=\frac{b}{\sqrt{b^2+(a-c)^2}}$

Published on 27 Mar 2026 - 12:28

score 262 · Answer 2 · 2026-03-26 01:11:53

262

Views

Finding the area enclosed by the locus of the vertex of the rectangle at which the normals meet.

Published on 26 Mar 2026 - 1:11

score 249 · Answer 3 · 2026-03-29 13:41:12

249

Views

How can you visually distinguish between a parabola and hyperbola?

Published on 29 Mar 2026 - 13:41

score 338 · Answer 4 · 2026-04-01 20:28:26

338

Views

How to find the equation to an ellipse with center at any arbitrary point?

Published on 01 Apr 2026 - 20:28

score 187 · Answer 5 · 2026-03-31 07:50:34

187

Views

Ellipse Complex Numbers Equation $|z - 3| + |z +3| = 10$

Published on 31 Mar 2026 - 7:50

score 62 · Answer 6 · 2026-03-31 20:08:15

62

Views

What is the eccentricity of the conic given by $r = \frac{2}{1 + \cos \theta - \sin \theta}$?

Published on 31 Mar 2026 - 20:08

score 78 · Answer 7 · 2019-12-15 07:59:50

Tangents from $(-2\sqrt3,2)$ to hyperbola $y^2-x^2=4$ determine a chord of contact subtending angle $\theta$ at the center. Find $12\tan^2\theta$.

score 253 · Answer 8 · 2026-03-27 16:22:52

253

Views

How to find the rotation matrix to rotate 3-d vectors such that the z-component of the rotated vectors is approximately constant?

Published on 27 Mar 2026 - 16:22

score 989 · Answer 9 · 2019-12-15 11:57:38

989

Views

What is the angle between the asymptotes of the hyperbola $5x^2-2\sqrt 7 xy-y^2-2x+1=0$?

Published on 15 Dec 2019 - 11:57

score 77 · Answer 10 · 2019-12-15 20:50:52

77

Views

General Solution of $|z-a| + |z-b| = c$

Published on 15 Dec 2019 - 20:50

score 32 · Answer 11 · 2026-04-01 19:19:49

32

Views

Normal to the curve $y=x^2$ forming the shortest chord

Published on 01 Apr 2026 - 19:19

score 131 · Answer 12 · 2026-04-01 20:29:27

131

Views

Finding fixed points the circle $x^2+y^2+2gx+(2g-9)y+4=0$ passes through

Published on 01 Apr 2026 - 20:29

score 685 · Answer 13 · 2026-03-26 01:29:11

685

Views

Eliminating a varying parameter for finding locus of foot of perpendicular from $(10,0)$ to any tangent on $x^2+y^2=16$

Published on 26 Mar 2026 - 1:29

score 84 · Answer 14 · 2026-03-26 09:17:59

84

Views

Mass moving in parabola, Equation of motion?

Published on 26 Mar 2026 - 9:17

score 679 · Answer 15 · 2026-04-01 22:01:29

679

Views

How to find an ellipse equation with non-symmetrical foci values?

Published on 01 Apr 2026 - 22:01

List Question

If $\tan2\theta=\frac{b}{a-c}$, then $\cos 2\theta=\frac{a-c}{\sqrt{b^2+(a-c)^2}}$ and $\sin2\theta=\frac{b}{\sqrt{b^2+(a-c)^2}}$

Finding the area enclosed by the locus of the vertex of the rectangle at which the normals meet.

How can you visually distinguish between a parabola and hyperbola?

How to find the equation to an ellipse with center at any arbitrary point?

Ellipse Complex Numbers Equation $|z - 3| + |z +3| = 10$

What is the eccentricity of the conic given by $r = \frac{2}{1 + \cos \theta - \sin \theta}$?

Tangents from $(-2\sqrt3,2)$ to hyperbola $y^2-x^2=4$ determine a chord of contact subtending angle $\theta$ at the center. Find $12\tan^2\theta$.

How to find the rotation matrix to rotate 3-d vectors such that the z-component of the rotated vectors is approximately constant?

What is the angle between the asymptotes of the hyperbola $5x^2-2\sqrt 7 xy-y^2-2x+1=0$?

General Solution of $|z-a| + |z-b| = c$

Normal to the curve $y=x^2$ forming the shortest chord

Finding fixed points the circle $x^2+y^2+2gx+(2g-9)y+4=0$ passes through

Eliminating a varying parameter for finding locus of foot of perpendicular from $(10,0)$ to any tangent on $x^2+y^2=16$

Mass moving in parabola, Equation of motion?

How to find an ellipse equation with non-symmetrical foci values?

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