If A-A1-A2-A3 be the area of the incircle and excircles- then 1-A1-1-A2-1-A3 is equal to-

The correct option is A 1√(A)_ We have A=π r^2;A_1=π r_1^2;A_2=π r_2^2;A_3=π r_3^21/r=1/r_1+1/r_2+1/r_31/√(A)=1/√(A_1)+1/√(A_2)+1/√(A_3) ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Frequency of Oscillations in LC Circuit

If A,A1,A2,...

Question

If $A, A_{1}, A_{2}, A_{3}$ be the area of the incircle and excircles, then $\frac{1}{{\sqrt{A}}_{1}} + \frac{1}{{\sqrt{A}}_{2}} + \frac{1}{{\sqrt{A}}_{3}}$ is equal to:

\frac{1}{{\sqrt{A}}}

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

\frac{2}{{\sqrt{A}}}

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

\frac{3}{{\sqrt{A}}}

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

none of these

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

Open in App

Solution

The correct option is A $\frac{1}{{\sqrt{A}}}$
We have $A = π r^{2}; A_{1} = π r_{1}^{2}; A_{2} = π r_{2}^{2}; A_{3} = π r_{3}^{2} \frac{1}{r} = \frac{1}{r_{1}} + \frac{1}{r_{2}} + \frac{1}{r_{3}} ⟹ \frac{1}{\sqrt{A}} = \frac{1}{\sqrt{A_{1}}} + \frac{1}{\sqrt{A_{2}}} + \frac{1}{\sqrt{A_{3}}}$

Suggest Corrections

Similar questions

If $A_{1}, A_{2}, A_{3}$ be the area of the incircle and exercise, then $\frac{1}{{\sqrt{A}}_{1}} + \frac{1}{{\sqrt{A}}_{2}} + \frac{1}{{\sqrt{A}}_{3}}$ is equal to

Q. If

A, A_{1}, A_{2}, A_{3}

be the areas of the incircle and exircles, then

\frac{1}{\sqrt{A_{1}}} + \frac{1}{\sqrt{A_{2}}} + \frac{1}{\sqrt{A_{3}}} = \frac{k}{\sqrt{A}}

, then

k =

Q. If

A, A_{1}, A_{2}, A_{3}

be the area of the in-circle and ex-circles, then

\frac{1}{\sqrt{A_{1}}} + \frac{1}{\sqrt{A_{2}}} + \frac{1}{\sqrt{A_{3}}}

is equal to

Q. If

A_{1} A_{2} A_{3} . . . A_{n}

be a regular polygon of

n

sides and

\frac{1}{A_{1} A_{2}} = \frac{1}{A_{1} A_{3}} + \frac{1}{A_{1} A_{4}},

then

Q. If

a_{1}, a_{2}, a_{3}, a_{4}

are in AP, then

\frac{1}{\sqrt{a_{1}} + \sqrt{a_{2}}} + \frac{1}{\sqrt{a_{2}} + \sqrt{a_{3}}} + \frac{1}{\sqrt{a_{3}} + \sqrt{a_{4}}}

is equal to

Join BYJU'S Learning Program

If A,A1,A2,A3 be the area of the incircle and excircles, then 1√A1+1√A2+1√A3 is equal to:

The correct option is A 1√AWe have A=πr2;A1=πr21;A2=πr22;A3=πr231r=1r1+1r2+1r3⟹1√A=1√A1+1√A2+1√A3

If $A, A_{1}, A_{2}, A_{3}$ be the area of the incircle and excircles, then $\frac{1}{{\sqrt{A}}_{1}} + \frac{1}{{\sqrt{A}}_{2}} + \frac{1}{{\sqrt{A}}_{3}}$ is equal to:

The correct option is A $\frac{1}{{\sqrt{A}}}$
We have $A = π r^{2}; A_{1} = π r_{1}^{2}; A_{2} = π r_{2}^{2}; A_{3} = π r_{3}^{2} \frac{1}{r} = \frac{1}{r_{1}} + \frac{1}{r_{2}} + \frac{1}{r_{3}} ⟹ \frac{1}{\sqrt{A}} = \frac{1}{\sqrt{A_{1}}} + \frac{1}{\sqrt{A_{2}}} + \frac{1}{\sqrt{A_{3}}}$