Question

A rod of length $2$ units whose one end is $(1,0,-1)$ and the other end touches the plane $x-2y+2z+4=0$

score 506 · Answer 1 · 2026-04-16 11:50:51

506

Views

A rod of length $2$ units whose one end is $(1,0,-1)$ and the other end touches the plane $x-2y+2z+4=0$

Published on 16 Apr 2026 - 11:50

score 2.3k · Answer 2 · 2026-04-15 00:17:54

2.3k

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A parallelopiped is formed by planes drawn through the points $(1,2,3)$ and $(9,8,5)$ parallel to the coordinate planes

Published on 15 Apr 2026 - 0:17

score 314 · Answer 3 · 2026-04-12 19:24:53

314

Views

Find the leg of an altitude in a triangle

Published on 12 Apr 2026 - 19:24

score 2.2k · Answer 4 · 2026-04-16 16:02:07

2.2k

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Find the equation of the image of the plane $x-2y+2z-3=0$ in the plane $x+y+z-1=0$.

Published on 16 Apr 2026 - 16:02

score 71 · Answer 5 · 2026-04-15 07:54:44

71

Views

The new position of $O,$ when triangle is rotated about side $AB$ by $90^\circ$ can be

Published on 15 Apr 2026 - 7:54

score 95 · Answer 6 · 2026-04-15 11:16:35

95

Views

Show that there is a common line of intersection of the three given planes.

Published on 15 Apr 2026 - 11:16

score 340 · Answer 7 · 2026-04-15 13:46:26

340

Views

Prove that for all values of $\lambda$ and $\mu,$ the two planes intersect on the same line.

Published on 15 Apr 2026 - 13:46

score 82 · Answer 8 · 2026-04-16 00:30:27

82

Views

If the projections of $OA$ and $OB$ on the plane $z=0$ make angles $\phi_1$ and $\phi_2$,respectively,with the $x-$axis

Published on 16 Apr 2026 - 0:30

score 72 · Answer 9 · 2026-04-16 01:25:04

Prove that planes $AOA',BOB'$ and $COC'$ pass through the line $\frac{x}{l_1+l_2+l_3}=\frac{y}{m_1+m_2+m_3}=\frac{z}{n_1+n_2+n_3}$

score 41 · Answer 10 · 2026-04-10 08:18:33

41

Views

What does it means to find an solution for an elliptical equation?

Published on 10 Apr 2026 - 8:18

score 2.3k · Answer 11 · 2026-04-17 10:37:57

The line $\frac{x+6}{5}=\frac{y+10}{3}=\frac{z+14}{8}$ is the hypotenuse of an isosceles right angled triangle whose opposite vertex is $(7,2,4)$

score 58 · Answer 12 · 2026-04-15 10:11:58

58

Views

Order of affine reflections (described with complex numbers operations)

Published on 15 Apr 2026 - 10:11

score 443 · Answer 13 · 2026-04-12 12:36:02

443

Views

On a non-standard approach to the classification of conics?

Published on 12 Apr 2026 - 12:36

score 382 · Answer 14 · 2026-04-14 02:26:09

382

Views

Find equation of the straight line satisfying some conditions

Published on 14 Apr 2026 - 2:26

score 51 · Answer 15 · 2026-04-17 09:52:43

51

Views

Express the region $D=\{(x,y): x^2\leq y \leq x^2+x^3, x>0 \}$ as the union of cubic curves

Published on 17 Apr 2026 - 9:52

List Question

A rod of length $2$ units whose one end is $(1,0,-1)$ and the other end touches the plane $x-2y+2z+4=0$

A parallelopiped is formed by planes drawn through the points $(1,2,3)$ and $(9,8,5)$ parallel to the coordinate planes

Find the leg of an altitude in a triangle

Find the equation of the image of the plane $x-2y+2z-3=0$ in the plane $x+y+z-1=0$.

The new position of $O,$ when triangle is rotated about side $AB$ by $90^\circ$ can be

Show that there is a common line of intersection of the three given planes.

Prove that for all values of $\lambda$ and $\mu,$ the two planes intersect on the same line.

If the projections of $OA$ and $OB$ on the plane $z=0$ make angles $\phi_1$ and $\phi_2$,respectively,with the $x-$axis

Prove that planes $AOA',BOB'$ and $COC'$ pass through the line $\frac{x}{l_1+l_2+l_3}=\frac{y}{m_1+m_2+m_3}=\frac{z}{n_1+n_2+n_3}$

What does it means to find an solution for an elliptical equation?

The line $\frac{x+6}{5}=\frac{y+10}{3}=\frac{z+14}{8}$ is the hypotenuse of an isosceles right angled triangle whose opposite vertex is $(7,2,4)$

Order of affine reflections (described with complex numbers operations)

On a non-standard approach to the classification of conics?

Find equation of the straight line satisfying some conditions

Express the region $D=\{(x,y): x^2\leq y \leq x^2+x^3, x>0 \}$ as the union of cubic curves

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