Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET201920 Apr 2019Morning ShiftMathematicsProperties of TrianglesActual

If ( A= -60 61 ) and ( B=- 7 24 ) and neither (A ) nor (B ) is the second quadrant, then the angle (A+ B 2 ) lies in the quadrant

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

A. 1

Step-by-step solution

It is given that ( A=- 60 61 ) and ( B= -7 24 ) and neither (A ) nor (B ) is in the second quadrant, then (A ) and (B ) will be in third and fourth quadrant respectively. So, ( B 2 ) will be in second quadrant. Now, ( aligned B & =- 7 24 2 B 2 1- ^2 B 2 & =- 7 24 aligned ) ( aligned & 7 ^2 B 2 -48 B 2 -7=0 & (7 B 2 +1 ) ( B 2 -7 )=0 & B 2 =- 1 7 [ B 2 IInd quadrant ] & (A+ B 2 )= A+ B 2 1- A B 2 = 11 60 - 1 7 1+ 11 420 & [ A=- 60 61 and A IIIrd . & . Quadrant A= 11 60 ] aligned ) (= 77-60 420+11 = 17 431 ) ( A ) II

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