Question

$\Delta ABC$, $AC = 2BC$ and $\angle C = 90^\circ$ and $D$ is the foot of the altitude from $C$ onto $AB$. Find $AE : EC$ .

score 347 · Answer 1 · 2026-03-25 19:07:18

347

Views

$\Delta ABC$, $AC = 2BC$ and $\angle C = 90^\circ$ and $D$ is the foot of the altitude from $C$ onto $AB$. Find $AE : EC$ .

Published on 25 Mar 2026 - 19:07

score 91 · Answer 2 · 2026-04-13 11:40:31

91

Views

In $\Delta ABC$ , bisectors of $\angle A, \angle B$ meet at incentre $I$. The extension of $AI$ meets the circumcircle of $\Delta ABC$ at $D$.

Published on 13 Apr 2026 - 11:40

score 393 · Answer 3 · 2026-04-16 13:12:42

393

Views

Three sides $OAB, OAC$ and $OBC$ of a tetrahedron $OABC$ are right-angled triangles, $\angle AOB = \angle AOC = \angle BOC = 90^\circ$.

Published on 16 Apr 2026 - 13:12

score 66 · Answer 4 · 2026-04-16 12:56:11

66

Views

Points $E$ and $F$ are on sides $AB$ and $AC$ such that $DE$ and $DF$ are the angle bisectors of $\angle ADB$ and $\angle ADC$ respectively.

Published on 16 Apr 2026 - 12:56

score 103 · Answer 5 · 2026-04-10 16:56:55

103

Views

How to find details about function in $\mathbb{R}^2$ if $\frac{df} {dx}= \frac{df}{dy}$ for all $(x,y)\in \mathbb{R}^2$

Published on 10 Apr 2026 - 16:56

score 93 · Answer 6 · 2026-04-13 20:41:47

93

Views

How to find number of arrangements of 18 exams with a specific condition?

Published on 13 Apr 2026 - 20:41

score 94 · Answer 7 · 2026-04-10 17:27:45

94

Views

How to find eigen values of such kind of matrices ( Matrices which are bigger than $ 3\times 3$)

Published on 10 Apr 2026 - 17:27

score 43 · Answer 8 · 2026-04-11 14:43:01

43

Views

Is $h(n)$ independent of $n$?

Published on 11 Apr 2026 - 14:43

score 90 · Answer 9 · 2026-04-17 05:43:56

90

Views

Given that $BE$ is an angle bisector of $\angle ABC$ and $AD = 13.5$ cm, find $CD$ .

Published on 17 Apr 2026 - 5:43

score 488 · Answer 10 · 2026-04-15 16:38:50

488

Views

Vertex $E$ of equilateral $\Delta ABE$ is in interior of $\square ABCD.$ $F$ is the midpoint of intersection of $AE$ and diagonal $BD$.

Published on 15 Apr 2026 - 16:38

score 75 · Answer 11 · 2026-04-10 08:42:58

75

Views

Algebraic Method

Published on 10 Apr 2026 - 8:42

score 100 · Answer 12 · 2026-04-16 10:25:04

100

Views

How many ways are there in the case that there is ONLY ONE adjacent couple?

Published on 16 Apr 2026 - 10:25

score 1.3k · Answer 13 · 2026-04-16 02:52:11

1.3k

Views

We have $AB = BC$, $AC = CD$, $\angle ACD = 90^\circ$. If the radius of the circle is '$r$' , find $BC$ in terms of $r$ .

Published on 16 Apr 2026 - 2:52

score 131 · Answer 14 · 2026-04-16 07:39:25

131

Views

Find the radius of the circle inscribed in the overlapping region of the $2$ semi-circles, given that the circle touches line $P_1P_2$.

Published on 16 Apr 2026 - 7:39

score 742 · Answer 15 · 2026-04-16 00:21:40

742

Views

A circle with diameter $AC$ is intersected by a secant at points $B,D$. The secant and the diameter intersect at point $P$ outside the circle.

Published on 16 Apr 2026 - 0:21

List Question

$\Delta ABC$, $AC = 2BC$ and $\angle C = 90^\circ$ and $D$ is the foot of the altitude from $C$ onto $AB$. Find $AE : EC$ .

In $\Delta ABC$ , bisectors of $\angle A, \angle B$ meet at incentre $I$. The extension of $AI$ meets the circumcircle of $\Delta ABC$ at $D$.

Three sides $OAB, OAC$ and $OBC$ of a tetrahedron $OABC$ are right-angled triangles, $\angle AOB = \angle AOC = \angle BOC = 90^\circ$.

Points $E$ and $F$ are on sides $AB$ and $AC$ such that $DE$ and $DF$ are the angle bisectors of $\angle ADB$ and $\angle ADC$ respectively.

How to find details about function in $\mathbb{R}^2$ if $\frac{df} {dx}= \frac{df}{dy}$ for all $(x,y)\in \mathbb{R}^2$

How to find number of arrangements of 18 exams with a specific condition?

How to find eigen values of such kind of matrices ( Matrices which are bigger than $ 3\times 3$)

Is $h(n)$ independent of $n$?

Given that $BE$ is an angle bisector of $\angle ABC$ and $AD = 13.5$ cm, find $CD$ .

Vertex $E$ of equilateral $\Delta ABE$ is in interior of $\square ABCD.$ $F$ is the midpoint of intersection of $AE$ and diagonal $BD$.

Algebraic Method

How many ways are there in the case that there is ONLY ONE adjacent couple?

We have $AB = BC$, $AC = CD$, $\angle ACD = 90^\circ$. If the radius of the circle is '$r$' , find $BC$ in terms of $r$ .

Find the radius of the circle inscribed in the overlapping region of the $2$ semi-circles, given that the circle touches line $P_1P_2$.

A circle with diameter $AC$ is intersected by a secant at points $B,D$. The secant and the diameter intersect at point $P$ outside the circle.

Trending Questions

Popular # Hahtags

Popular Questions