Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202319 May 2023Morning ShiftMathematicsProperties of TrianglesActual

In ABC , if r =1, R =4 and =8 , then 1 ab + 1 bc + 1 ca =

Options

  1. A8
  2. B1 4
  3. C1 8
  4. D1 16

Correct answer

C. 1 8

Step-by-step solution

Given, aligned & In A B C, & r=1, R=4 ; =8 & since . r= s , since a b c=4 R & . 1= s , =4.4 .8 & =s=8 =128 & Now 1 a b + 1 b c + 1 c a = (a+b+c) a b c = 2 s 128 & = 2 8 128 = 1 8 aligned

Practice Properties of Triangles on Quantrex Academy →

More from Properties of Triangles

In A B C , if A, B, C are in arithmetic progression then a ^2- ac + c ^2 ( ~A - C 2 )= 2025If in A B C, B=45^ , a=2( 3 +1) and area of A B C is 6+2 3 sq.units, then the side b = 2025In triangle A B C , if C=120^ , c= 19 and b=3 , then a= 2025In a A B C, 2 A+C=300^ . If the circumradius of the A B C is eight times its inradius then C 2 = 2025In A B C , if a=5, b=4 and (A-B)= 31 32 , then c= 2025In a triangle ABC, if A =30^ and b ( 3 +1)^2+2( 2 -1) = c ( 3 +1)^2-2( 2 -1) , then B= 2025In ABC if the line joining the circumcentre and the incentre is parallel to BC, then B + C = 2025In a triangle ABC, if r ₁: r ₂=3: 4 and r ₂: r ₃=2: 3 , then a : b : c = 2025 Full Properties of Triangles list All AP EAMCET PYQs