Question
If the focus of parabola (y-k)^2=4(x-h) always lies between the lines x+y=1 and x+y =3 then
BITSAT
Mathematics
Parabola
2024
BITSAT 2024 (Memory Based Paper 2)
BITSAT Mathematics Question (2024) — Solution
Options
- A. 0 h+k 2
- B. 0 h+k 1
- C. 1 h+k 2
- D. 1 h+k 3
Answer
A. 0 h+k 2
Step-by-step solution
Coordinate of focus will be (h+1, k) Now focus should lie to the opposite side of origin with respect to line x+y-1=0 and same side as origin with respect to line x+y-3=0 Hence h+k 0 and h+k 2.
Related: Mathematics — Parabola · All PYQ Banks