Question
The sum of all values of x in [0,2 ], for which x+ 2 x+ 3 x+ 4 x=0, is equal to :
BITSAT
Mathematics
Trigonometric Ratios & Identities
2024
BITSAT 2024 (Memory Based Paper 2)
BITSAT Mathematics Question (2024) — Solution
Options
- A. 8
- B. 11
- C. 12
- D. 9
Answer
D. 9
Step-by-step solution
( x+ 4 x)+( 2 x+ 3 x)=0 2 5 x 2 3 x 2 +2 5 x 2 x 2 =0 2 5 x 2 \ 3 x 2 + x 2 \ =0 2 5 x 2 \ 2 x x 2 \ =0 2 5 x 2 =0 5 x 2 =0, , 2 , 3 , 4 , 5 , x=0, 2 5 , 4 5 , 6 5 , 8 5 , 2 x 2 =0 x 2 = 2 x= ; x=0 x= 2 , 3 2 So, sum =6 + +2 =9
Related: Mathematics — Trigonometric Ratios & Identities · All PYQ Banks