Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Manipal MET2015MathematicsProperties of Triangles

In A B C , if a=4, b=3, A=60^ . Then, c is the root of the equation

Options

  1. Ac^2-3 c-7=0
  2. Bc^2+3 c+7=0
  3. Cc^2-3 c+7=0
  4. Dc^2+3 c-7=0

Correct answer

A. c^2-3 c-7=0

Step-by-step solution

We have, a=4, b=3 and A=60^ A= b^2+c^2-a^2 2 b c array ll & 60^ = 9+c^2-16 6 c & 1 2 6 c=c^2-7 & c^2-3 c-7=0 array

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 Manipal MET PYQs