Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202125 Aug 2021Morning ShiftMathematicsProperties of TrianglesActual

In any A B C, b^2 2 C+c^2 B is equal to

Options

  1. A2
  2. B3
  3. C4

Correct answer

3

Step-by-step solution

aligned & b^2 2 C+c^2 2 B & =2 b^2 C C+2 c^2 B B & = 2 b^2 c C 2 R + 2 c^2 b B 2 R & [ a A = b B = c C =2 R ] & = b c R (b C+c B)= a b c R & [ by projection formula b C+c B=a] & =4 & [ R= a b c 4 ] 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