Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main201815 Apr 2018Evening ShiftMathematicsTrigonometric EquationsActual

Consider the following two statements. Statement p : The value of 120^ can be divided by taking =240^ in the equation 2 2 = 1+ - 1- . Statement q : The angles A, B, C and D of any quadrilateral A B C D satisfy the equation ( 1 2 (A+C) )+ ( 1 2 (B+D) )=0 Then the truth values of p and q are respectively.

Options

  1. AF , T
  2. BT , T
  3. CF, F
  4. DT, F

Correct answer

A. F , T

Step-by-step solution

Statement p : 120^ = 30^ = 3 2 2 120^ = 3 So, 1+ 240^ - 1- 240^ = 1- 3 2 - 1+ 3 2 3 Statement q : So, A+B+C+D=2 aligned & A+C 2 + B+D 2 = & ( A+C 2 )+ ( B+D 2 ) &= ( A+C 2 )- ( A+C 2 )=0 aligned Therefore, statement p is false and statement q is true.

Practice Trigonometric Equations on Quantrex Academy →

More from Trigonometric Equations

Match each entry in List-I to the correct entry in List-II and choose the correct option. List-I List-II (P) The number of elements in the set x [- , ] : ^6 x + ^4 x = 1 (1) is 1 ( 2026Passage: Consider the curve C₁ given by y = e^ -x for x [0, 10 ] , and the curve C₂ given by y = e^ -x ( x + x) for x [0, 10 ] . Let n be the total number of points of intersection 2026Let S = (-2 , 2 ) : + 1 = 3 . Then _ S is equal to: 2026If S = [- , ] : 5 2 = 7 7 2 , then n(S) is equal to _______. 2026Let S = x [- , ] : x ( x + x) = a, a Z . Then n(S) is equal to : 2026The number of elements in the set x [0,180^ ]: (x+100^ )= (x+50^ ) x (x-50^ ) is _ _ _ _ . 2026Number of solutions of 3 2 +8 +3 3 =0, [-3 , 2 ] is: 2026The number of solutions of the equation 2 2 + 5 2 =2 ^3 5 2 in [- 2 , 2 ] is : 2025 Full Trigonometric Equations list All JEE Main PYQs