Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET2001MathematicsProperties of Triangles

In a A B C, a b^2-c^2 + c b^2-a^2 =0 , then B is equal to

Options

  1. A2
  2. B4
  3. C2 3
  4. D3

Correct answer

D. 3

Step-by-step solution

We have, aligned & a b^2-c^2 + c b^2-a^2 =0 & 2 R A 4 R^2 ( ^2 B- ^2 C ) & + 2 R C 4 R^2 ( ^2 B- ^2 A ) =0 aligned aligned & 1 2 R A (B+C) (B-C) & + 1 2 R C (B+A) (B-A) =0 & 1 2 R A A- (B-C) & + 1 2 R C C (B-A) =0 & 1 2 R (R-C) + 1 2 R (B-A) =0 & (B-C)+ (B-A)=0 & 2 2 B-A-C 2 -C+A 2 =0 & 2 B-A-C 2 =0 & 2 l l=A+C & 2 R=180^n-B & 3 b=180^ & B= 3 & 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