Question
What is the angle between the two straight lines y=(2- 3 ) x+5 and y=(2+ 3 ) x-7 ?
BITSAT
Mathematics
Straight Lines
2023
BITSAT 2023 (Memory Based Paper 1)
BITSAT Mathematics Question (2023) — Solution
Options
- A. 60^
- B. 45^
- C. 30^
- D. 15^
Answer
A. 60^
Step-by-step solution
The given lines are: y=(2- 3 ) x+5 and y=(2+ 3 ) x-7 Therefore, slope of first line =m_1=2- 3 and slope of second line =m_2=2+ 3 = | m_2-m_1 1+m_1 m_2 |= | 2+ 3 -2+ 3 1+(4-3) | = | 2 3 2 |= 3 = 3 = 3 =60^
Related: Mathematics — Straight Lines · All PYQ Banks