D(−1,8), E(4,−2), F(−5,−3) are midpoints of sides BC, CA and AB of ∆ABC. Find (i) equations of sides of ∆ABC.

5.4 · Q82

Q. D(-1,8), E(4,-2), F(-5,-3) are midpoints of sides BC, CA and AB of ∆ABC. Find

(i) equations of sides of ∆ABC.

(ii) co-ordinates of the circumcenter of ∆ABC.

Maharashtra MsbshseTextbookSubjectiveImportance★★★★★est

60% · 82/136 Questions

🔒 Locked · start free trial →

You're viewing a preview — the full solution, concept, methods & PYQ mapping are locked.

Start your 14-day free trial to unlock the full solution →

The line $7x-9y-19=0$ has slope $7/9$ , so line $AB$ , being perpendicular to it, has slope $-9/7$ . Slope $AB$ for $A(h,3)$ , $B(4,1)$ is $\dfrac{1-3}{4-h}=\dfrac{-2}{4-h}$ . Setting this to $-9/7$ : $\dfrac{-2}{4-h}=\dfrac{-9}{7} \Rightarrow \dfrac{2}{4-h}=\dfrac97 …

Start your 14-day free trial to unlock the full solution →

←Previous questionQ81 — If A(4,3), B(0,0), and C(2,3) are the vertices of ∆ABC then find the e…→Next questionQ83 — O(0, 0), A(6,0) and B(0,8) are vertices of a triangle. Find the co-ord…

Q.D(−1,8), E(4,−2), F(−5,−3) are midpoints of sides BC, CA and AB of ∆ABC. Find

Concept understanding — Slope of a Line

Q.D(−1,8), E(4,−2), F(−5,−3) are midpoints of sides BC, CA and AB of ∆ABC. Find

🎓Unlock everything free for 14 days

Unlock everything free for 14 days