Question
If vertex of a parabola is (2,-1) and the equation of its directrix is 4 x-3 y=21, then the length of its latus rectum is
BITSAT
Mathematics
Parabola
2023
BITSAT 2023 (Memory Based Paper 2)
BITSAT Mathematics Question (2023) — Solution
Options
- A. 2
- B. 8
- C. 12
- D. 16
Answer
B. 8
Step-by-step solution
We are given that directrix of the parabola is 4 x-3 y=21 and vertex of the parabola is (2,-1) Now a= |8+3-21| 5 = 10 5 =2 latus rectum of the parabola =4 a=8
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