Get 2 FREE Instant-Explanations on Filo with code FILOAPP

If {P} divides {O}{A} internally in the ratio _{{1}}:_{{2}} an

Question

If $P$ divides $O A$ internally in the ratio $λ_{1} : λ_{2}$ and $Q$ divides $O A$ externally in the ratio $λ_{1}; λ_{2},$ then prove that $O A$ is the harmonic mean of $O P$ and $O Q ˙$

Views: 1,168 students

Found 5 tutors discussing this question

Asher Discussed

P

divides

O A

internally in the ratio

λ_{1} : λ_{2}

and

Q

divides

O A

externally in the ratio

λ_{1}; λ_{2},

then prove that

O A

is the harmonic mean of

O P

and

O Q ˙

7 mins ago

Discuss this question LIVE

7 mins ago

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our maths tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text

P

divides

O A

internally in the ratio

λ_{1} : λ_{2}

and

Q

divides

O A

externally in the ratio

λ_{1}; λ_{2},

then prove that

O A

is the harmonic mean of

O P

and

O Q ˙

Filo tutor solution