TMUAmockz Set 1 Paper 2 · Question 18

Community mocks

TMUAmockz Set 1 Paper 2 · Q18

Paper 2Logic & proofGeometry

Three circles with radii $p,q$ and $r$ , where $p<q<r$ , are mutually externally tangent. Let $P,Q,R$ denote their respective centres. Which of the following is a necessary and sufficient condition for the triangle $PQR$ to have a right angle at $P$ ?

p+q=2r

q^2=pr

(p+q)(p+r)=2qr

p(q+r)=2qr

(p+q+r)^2=2qr

p(p+q+r)=2qr

Read the questions freely. Sign in to check your answer, see the worked solution and save your progress.