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The parabola (y + 1)2 = a x − 2 passes through the point 1, − 2 . The equation of its directrix is
  • a)
    4 x + 1 = 0
  • b)
    4 x − 1 = 0
  • c)
    4 x + 9 = 0
  • d)
    4 x − 9 = 0
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The parabola (y + 1)2 = a x − 2 passes through the point 1, &min...
Given Information:
The parabola equation is (y + 1)² = a x - 2 and it passes through the point (1, -2).

Finding the Value of 'a':
Substitute the point (1, -2) into the equation:
(-2 + 1)² = a(1) - 2
1 = a - 2
a = 3

Equation of the Directrix:
Since the parabola is of the form (y + k)² = 4a(x - h), the equation of the directrix is x = h - a.
In this case, h = -2 and a = 3.
So, the equation of the directrix is x = -2 - 3 = -5.
Therefore, the correct equation of the directrix is 4x - 9 = 0, which corresponds to option 'D'.
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The parabola (y + 1)2 = a x − 2 passes through the point 1, − 2 . The equation of its directrix isa)4 x + 1 = 0b)4 x − 1 = 0c)4 x + 9 = 0d)4 x − 9 = 0Correct answer is option 'D'. Can you explain this answer?
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The parabola (y + 1)2 = a x − 2 passes through the point 1, − 2 . The equation of its directrix isa)4 x + 1 = 0b)4 x − 1 = 0c)4 x + 9 = 0d)4 x − 9 = 0Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The parabola (y + 1)2 = a x − 2 passes through the point 1, − 2 . The equation of its directrix isa)4 x + 1 = 0b)4 x − 1 = 0c)4 x + 9 = 0d)4 x − 9 = 0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The parabola (y + 1)2 = a x − 2 passes through the point 1, − 2 . The equation of its directrix isa)4 x + 1 = 0b)4 x − 1 = 0c)4 x + 9 = 0d)4 x − 9 = 0Correct answer is option 'D'. Can you explain this answer?.
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