Question
If a, c, b are in GP, then the area of the triangle formed by the lines a x+b y+c=0 with the coordinates axes is equal to
BITSAT
Mathematics
Area Under Curves
2024
BITSAT 2024 (Memory Based Paper 3)
BITSAT Mathematics Question (2024) — Solution
Options
- A. 1
- B. 2
- C. 1 2
- D. None of these
Answer
C. 1 2
Step-by-step solution
Given a, c, b are in GP c^2=a b...(i) According to question, aligned Area of O A B & = | 1 2 O A O B | \\ = & | 1 2 ( -c b ) ( -c a ) | \\ & = 1 2 c^2 a b = 1 2 [by Eq. (i)] aligned
Related: Mathematics — Area Under Curves · All PYQ Banks