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.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(B) False.
The radius of the circle is $r = 3.5 \, cm$ and the distance of point $P$ from the centre is $d = 3 \, cm$.
Since $d < r$ $(3 \, cm < 3.5 \, cm)$,the point $P$ lies inside the circle.
$A$ tangent to a circle is a line that touches the circle at exactly one point. If a point lies inside the circle,no tangent can be drawn from that point to the circle.

Explore More

Similar Questions

$\odot(P, 4\, cm)$ is given. Construct two tangents to the circle which are perpendicular to each other. Write the steps of construction.

To construct a triangle similar to a given $\triangle ABC$ with its sides $\frac{3}{7}$ of the corresponding sides of $\triangle ABC$,first draw a ray $BX$ such that $\angle CBX$ is an acute angle and $X$ lies on the opposite side of $A$ with respect to $BC$. Then locate points $B_{1}, B_{2}, B_{3}, \dots$ on $BX$ at equal distances and the next step is to join

Draw a triangle $ABC$ in which $BC = 6 \, cm$,$CA = 5 \, cm$,and $AB = 4 \, cm$. Construct a triangle similar to it with a scale factor of $\frac{5}{3}$.

$\odot(P, 5 \, cm)$ is given. Construct two tangents to the circle such that the measure of the angle between them is $120^\circ$. Write the steps of construction.

Draw $\Delta PQR$ with $QR = 7 \, cm$,$m\angle Q = 45^{\circ}$ and $m\angle R = 60^{\circ}$. Then construct $\Delta QAB$ similar to $\Delta PQR$ whose sides have lengths $\frac{4}{3}$ times the lengths of corresponding sides of $\Delta PQR$. Write the steps of construction.

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