You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Concept of Ratio between 3 Quantities Using Line Segments

If three numb...

Question

If three numbers x, y, z are in the ratio 1 : 2 : 3, then $x : y = 1 : 2$ and $y : z = 2 : 3$ .

True

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

False

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

Suggest Corrections

Similar questions

Let

z_{1}, z_{2}

and

z_{3}

be three complex numbers and

a, b, c \in R

such that

a + b + c = 0

and

a z_{1} + b z_{2} + c z_{3} = 0

then show that

z_{1}, z_{2}

and

z_{3}

are collinear.

If $z_{1}, z_{2}$ are complex numbers such that $z_{1}^{3} - 3 z_{1} z_{2}^{2}$ = 2 and $3 z_{1}^{2} z_{2} - z_{2}^{3}$ = 11 then $| z_{1}^{2} + z_{2}^{2} |$ =

Q. If the lines

\frac{x}{1} = \frac{y}{2} = \frac{z}{3}

\frac{x - 1}{3} = \frac{y - 2}{- 1} = \frac{z - 3}{4}

and

\frac{x - a}{3} = \frac{y - 1}{2} = \frac{z - 2}{b}

are concurrent then:

z_{1}, z_{2}, z_{3}

are three complex numbers whose moduli are

a, b, c

respectively and are such that

∣ ∣ ∣ ∣ \begin{matrix} a & b & c b & c & a c & a & b \end{matrix} ∣ ∣ ∣ ∣ = 0

.
If

z_{1} \neq z_{2}

, then prove that

arg {(\frac{z_{3} - z_{1}}{z_{2} - z_{1}})}^{2} = arg (\frac{z_{3}}{z_{2}})

Q. If

z_{1}, z_{2}, z_{3}

be three copmlex numbers whose moduli are

1, 2, 3

respectively and

| z_{1} + z_{2} + z_{3} | = 1

. then find the value of

| {9 z}_{1} z_{2} + z_{2} z_{3} + {4 z}_{3} z_{1} |

Join BYJU'S Learning Program

If three numbers x, y, z are in the ratio 1 : 2 : 3, then x:y=1:2 and y:z=2:3.

If three numbers x, y, z are in the ratio 1 : 2 : 3, then $x : y = 1 : 2$ and $y : z = 2 : 3$ .