Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202419 May 2024Evening ShiftMathematicsProperties of TrianglesActual

In a triangle ABC , if (a-b)(s-c)=(b-c)(s-a) , then r₁+r₃=

Options

  1. Ar₂-r₃
  2. B3 r₂
  3. C2 r₂
  4. D3 (r₁+r₂ )

Correct answer

C. 2 r₂

Step-by-step solution

aligned & In A B C,(a-b)(s-c)=(b-c)(s-a) & (s-b)-(s-a) (s-c)= (s-c)-(s-b) (s-a) & ( r₂ - r₁ ) ( r₃ )= ( r₃ - r₂ ) ( r₁ ) & (r₁-r₂ )= (r₂-r₃ ) r₁+r₃=2 r₂ . 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