MHT CET20249 May 2024Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

In (0,2 ) , the number of solutions of + =2 are

Options

Correct answer

D. 3

Step-by-step solution

aligned & + =2 & + 1 =2 & +1=2 ^2 & +1=2 (1- ^2 ) & 2 ^2 + -1=0 aligned aligned = & -1, 1 2 For & =-1, = 1 2 & = 3 2 = 6 , 5 6 aligned Number of solutions =3

Practice Trigonometric Ratios & Identities on Quantrex Academy →

More from Trigonometric Ratios & Identities

If x+ x= 1 2 and 0 < x < , then x= 2025 If 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= 2025 In a ABC , if ^2 ~B = A and 2 ^2 ~A =3 ^2 ~B , then the triangle is 2025 12 2 12 3 12 4 12 5 12 6 12 = 2025 If ( 4 + )= ^3 ( 4 + ) , then ( + ) ( - )= 2025 If 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 )= 2025 If 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