Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET20249 May 2024Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

The number of solutions, of 2^ 1+| x|+| x|^2+ =4 in (- , ) , is

Options

  1. A2
  2. B3
  3. C4
  4. D6

Correct answer

C. 4

Step-by-step solution

aligned & 2^ 1+| x|+| x|^2+ =4 & 2^ 1 1-| x| =2^2 aligned aligned & 1 1-| x| =2 & 1-| x|= 1 2 & | x|= 1 2 & x= 1 2 & x= -2 3 , - 3 , 3 , 2 3 [ x (- , )] aligned Number of solutions =4

Practice Trigonometric Ratios & Identities on Quantrex Academy →

More from Trigonometric Ratios & Identities

If x+ x= 1 2 and 0 < x < , then x= 2025If A and B are acute angles satisfying 3 ^2 A+2 ^2 B=4 and 3 A B = 2 B A , then A+2 B= 2025In a ABC , if ^2 ~B = A and 2 ^2 ~A =3 ^2 ~B , then the triangle is 202512 2 12 3 12 4 12 5 12 6 12 = 2025If ( 4 + )= ^3 ( 4 + ) , then ( + ) ( - )= 2025If A+B+C+D=2 , then A+ B+ C+ D= 2025(4 ^2 20 -1 ) (4 ^2 3 20 -1 ) (4 ^2 5 20 +1 ) (4 ^2 7 20 -1 ) (4 ^2 9 20 -1 )= 2025If A and B are the values such that (A+B) and (A-B) are not odd multiples of 2 and 2 (A+B)=3 (A-B) , then A A= 2025 Full Trigonometric Ratios & Identities list All MHT CET PYQs