Question
The line y=m x bisects the area enclosed by lines x =0, y =0 and x =3 / 2 and the curve y =1+4 x - x ^ 2 Then the value of m is
BITSAT
Mathematics
Area Under Curves
2020
BITSAT 2020
BITSAT Mathematics Question (2020) — Solution
Options
- A. 13 6
- B. 13 2
- C. 13 5
- D. 13 7
Answer
A. 13 6
Step-by-step solution
y=1+4 x-x^ 2 =5-(x-2)^ 2 We have _ 0 ^ 3 / 2 (1+4 x-x^ 2 ) dx =2 _ 0 ^ 3 / 2 mx dx = 3 2 +2 ( 9 4 )- 1 3 ( 27 8 )= m 9 4 On solving we get m = 13 6
Related: Mathematics — Area Under Curves · All PYQ Banks