There are two circles with centres $c_{1} & c_{2}$ with having radii $3 c m$ . Distance between their centres is $8 c m$
Length of transverse common tangent is ........... cm

5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\sqrt{26}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3 \sqrt{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\sqrt{28}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $\sqrt{28}$
Length of T.C.T $= \sqrt{d^{2} - (r_{1} + r_{2})^{2}}$

$= \sqrt{64 - (3 + 3)^{2}} = \sqrt{28}$ cm

So, option D is correct.

Suggest Corrections

Similar questions

c_{1} & c_{2}

3 c m

8 c m

8 c m

3 c m

10 c m

Draw two congruent circles of radii 3 cm, having their centres 8 cm apart. Draw a transverse common tangent.

Construct two circles of radii 2 cm and 3 cm, whose centres are 8 cm apart. Construct a transverse common tangent.

Join BYJU'S Learning Program