Draw $\odot( P , 3 \, cm )$ and a diameter $\overline{ AB }$ in it. Take points $X$ and $Y$ such that $X - A - B$ and $A - B - Y$ where $PX = PY = 7 \, cm$. From $X$ and $Y$,draw tangents to $\odot( P , 3 \, cm )$. Write the steps of construction.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) Steps of construction:
$1$. Draw a circle with center $P$ and radius $3 \, cm$.
$2$. Draw a diameter $\overline{ AB }$ passing through $P$.
$3$. Extend the line segment $\overline{ AB }$ on both sides. Mark point $X$ on the side of $A$ such that $PX = 7 \, cm$ and point $Y$ on the side of $B$ such that $PY = 7 \, cm$.
$4$. To draw tangents from $X$,find the midpoint $M_1$ of $\overline{ PX }$. With $M_1$ as center and $M_1P$ as radius,draw a circle. Let it intersect the original circle at points $Q$ and $R$.
$5$. Join $XQ$ and $XR$. These are the required tangents from $X$.
$6$. Similarly,to draw tangents from $Y$,find the midpoint $M_2$ of $\overline{ PY }$. With $M_2$ as center and $M_2P$ as radius,draw a circle. Let it intersect the original circle at points $S$ and $T$.
$7$. Join $YS$ and $YT$. These are the required tangents from $Y$.

Explore More

Similar Questions

To divide a line segment $AB$ in the ratio $p: q$ ($p, q$ are positive integers),draw a ray $AX$ so that $\angle BAX$ is an acute angle and then mark points on ray $AX$ at equal distances such that the minimum number of these points is

Draw a circle $\odot(O, 4 \text{ cm})$ and take a point $X$ in its exterior at a distance of $7 \text{ cm}$ from $O$. Draw two tangents to the circle from point $X$. Write the steps of construction.

Difficult
View Solution

To divide a line segment $AB$ in the ratio $4:7,$ a ray $AX$ is drawn first such that $\angle BAX$ is an acute angle and then points $A_1, A_2, A_3, \dots$ are located at equal distances on the ray $AX$ and the point $B$ is joined to:

Draw 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 Solution

Draw a right triangle $ABC$ in which $BC = 12 \, cm$,$AB = 5 \, cm$ and $\angle B = 90^{\circ}$. Construct a triangle similar to it with a scale factor of $\frac{2}{3}$. Is the new triangle also a right triangle?

Difficult
View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo