Draw $\odot(O, 4\, cm)$ and a diameter $\overline{PQ}$ in it. Take points $A$ and $B$ such that $A-P-Q$ and $P-Q-B$. From $A$ and $B$,draw tangents to $\odot(O, 4\, cm)$. 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 $O$ and radius $4\, cm$.
$2$. Draw a diameter $\overline{PQ}$ passing through the center $O$.
$3$. Extend the diameter $\overline{PQ}$ on both sides to locate points $A$ and $B$ such that $A-P-Q$ and $P-Q-B$. Let $OA = OB = 6\, cm$ (or any distance greater than the radius).
$4$. Find the midpoints of $\overline{OA}$ and $\overline{OB}$ by constructing perpendicular bisectors. Let these midpoints be $M_1$ and $M_2$ respectively.
$5$. With $M_1$ as center and $M_1O$ as radius,draw a circle. It intersects the original circle at two points. Join $A$ to these points to get the tangents from $A$.
$6$. Similarly,with $M_2$ as center and $M_2O$ as radius,draw a circle. It intersects the original circle at two points. Join $B$ to these points to get the tangents from $B$.

Explore More

Similar Questions

Draw $\odot(P, 5 \,cm)$ and take point $A$ in its exterior such that $PA = 9 \,cm$. Through $A$,draw a pair of tangents to $\odot(P, 5 \,cm)$. Write the steps of construction.

Draw $\Delta XYZ$ with $XY = 4\, cm$,$YZ = 6\, cm$,and $XZ = 7\, cm$. Then,construct $\Delta YMN$ similar to $\Delta XYZ$ with a scale factor of $\frac{4}{3}$. Write the steps of construction.

Difficult
View Solution

$A$ circle $\odot(P, 4)$ is given. Draw a pair of tangents such that the measure of the angle between the tangents at their point of intersection $A$ is $60^\circ$.

Draw a triangle $ABC$ in which $AB = 5 \, cm$,$BC = 6 \, cm$ and $\angle ABC = 60^{\circ}$. Construct a triangle similar to $\triangle ABC$ with a scale factor of $\frac{5}{7}$. Justify the construction.

To divide a line segment $AB$ in the ratio $5:7,$ first a ray $AX$ is drawn so that $\angle BAX$ is an acute angle and then at equal distances points are marked on the ray $AX$ such that the minimum number of these points is

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