Draw $\overline{XY}$ of length $9\, cm$ and divide it in the ratio $2:5$ from $X$. Write the steps of construction.
(N/A) Steps of construction:
$1$. Draw a line segment $\overline{XY}$ of length $9\, cm$ using a ruler.
$2$. Draw a ray $XP$ making an acute angle with $\overline{XY}$ at point $X$.
$3$. Locate $2 + 5 = 7$ points $A_1, A_2, A_3, A_4, A_5, A_6, A_7$ on ray $XP$ such that $XA_1 = A_1A_2 = A_2A_3 = A_3A_4 = A_4A_5 = A_5A_6 = A_6A_7$.
$4$. Join $A_7$ to $Y$.
$5$. Through point $A_2$,draw a line parallel to $A_7Y$ (by making corresponding angles equal) intersecting $\overline{XY}$ at point $Z$.
$6$. Thus,point $Z$ divides $\overline{XY}$ in the ratio $2:5$.
$1$. Draw a line segment $\overline{XY}$ of length $9\, cm$ using a ruler.
$2$. Draw a ray $XP$ making an acute angle with $\overline{XY}$ at point $X$.
$3$. Locate $2 + 5 = 7$ points $A_1, A_2, A_3, A_4, A_5, A_6, A_7$ on ray $XP$ such that $XA_1 = A_1A_2 = A_2A_3 = A_3A_4 = A_4A_5 = A_5A_6 = A_6A_7$.
$4$. Join $A_7$ to $Y$.
$5$. Through point $A_2$,draw a line parallel to $A_7Y$ (by making corresponding angles equal) intersecting $\overline{XY}$ at point $Z$.
$6$. Thus,point $Z$ divides $\overline{XY}$ in the ratio $2:5$.
Explore More
Similar Questions
Draw $\overline{ AB }$ of length $5.9\,cm$ and divide it in the ratio $5: 7$ from $A$.
Medium
View SolutionDraw a line segment $\overline{AB}$ of length $8\, cm$ and divide it in the ratio $2:3:5$ starting from point $A$. Write the steps of construction.
Difficult
View SolutionDraw $\Delta PQR$ with $m \angle P=60^{\circ}, m \angle Q=45^{\circ}$ and $PQ =6 \text{ cm}$. Then construct $\Delta PBC$ similar to $\Delta PQR$ whose sides have lengths $\frac{5}{3}$ times the lengths of the corresponding sides of $\Delta PQR$.
Medium
View SolutionDraw $\overline{ XY }$ of length $11\, cm$. Draw $\odot( X, 4\, cm )$ and $\odot( Y, 3\, cm)$. From the centre of each circle,draw tangents to the other circle. Write the steps of construction.
Medium
View SolutionDraw $\overline{AB}$ of length $10 \,cm$ and divide it in the ratio $3:8$ from $A$. Write the steps of construction.
Difficult
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo