Draw $\odot(P, 3\, cm)$ and take a point $R$ in its exterior such that $PR = 6\, cm$. Draw two tangents to $\odot(P, 3\, cm)$ from $R$. 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 $3\, cm$.
$2$. Mark a point $R$ outside the circle such that the distance $PR = 6\, cm$.
$3$. Find the midpoint $M$ of the line segment $PR$ by drawing its perpendicular bisector.
$4$. With $M$ as the center and $MP$ (or $MR$) as the radius,draw a second circle.
$5$. Let this circle intersect the original circle at points $A$ and $B$.
$6$. Join $RA$ and $RB$. These are the required tangents to the circle $\odot(P, 3\, cm)$ from point $R$.

Explore More

Similar Questions

Write True or False and give reasons for your answer.
$A$ pair of tangents can be constructed from a point $P$ to a circle of radius $3.5 \, cm$ situated at a distance of $3 \, cm$ from the centre.

Construct $\Delta ABC$ with $AB = 3 \, cm$,$BC = 6 \, cm$,and $AC = 5 \, cm$. Then,construct $\Delta BPQ$ similar to $\Delta ABC$ such that each side of $\Delta BPQ$ is $\frac{3}{4}$ of the corresponding sides of $\Delta ABC$. Write the steps of construction.

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 of length $7 \, cm$. Find a point $P$ on it which divides it in the ratio $3: 5$.

Draw $\overline{ AB }$ of length $5.9\,cm$ and divide it in the ratio $5: 7$ from $A$.

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