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Directrix of a parabola is x + y = 2. If it's focus is origin, then latus rectum of the parabola is equal to
- a)√2 units
- b)2 units
- c)4√2 units
- d)4 units
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Directrix of a parabola is x + y = 2. If its focus is origin, then lat...
Given directrix of parabola ⇒ x+y=2
and force is origin vertex is A(0,0)
We know that perpendicular distance from vertex of the parabola to directrix is equal to 'a' where 4a is the Latus Rectum of the
Parabola
and force is origin vertex is A(0,0)
We know that perpendicular distance from vertex of the parabola to directrix is equal to 'a' where 4a is the Latus Rectum of the
Parabola
Most Upvoted Answer
Directrix of a parabola is x + y = 2. If its focus is origin, then lat...
Ritu Singh ,
There is not answer in the given options. What Saroj Bala said is wrong because there it's considered the vertex as origin , but in the question the focus is given as origin...
There is not answer in the given options. What Saroj Bala said is wrong because there it's considered the vertex as origin , but in the question the focus is given as origin...
Community Answer
Directrix of a parabola is x + y = 2. If its focus is origin, then lat...
The directrix of a parabola in the form of y^2 = 4ax is given by the equation x = -a. In this case, since the directrix is x = y = 2, we can set -a = 2 and solve for a.
-a = 2
a = -2
The equation of the parabola is y^2 = 4(-2)x, which simplifies to y^2 = -8x.
The latus rectum of a parabola is defined as the line segment passing through the focus and perpendicular to the axis of symmetry. In this case, the focus is at the origin, so the latus rectum is perpendicular to the x-axis.
The length of the latus rectum can be found using the formula 4a, where a is the distance between the focus and the directrix.
In this case, a = -2, so the length of the latus rectum is 4(-2) = -8.
Therefore, the length of the latus rectum of the parabola is -8.
-a = 2
a = -2
The equation of the parabola is y^2 = 4(-2)x, which simplifies to y^2 = -8x.
The latus rectum of a parabola is defined as the line segment passing through the focus and perpendicular to the axis of symmetry. In this case, the focus is at the origin, so the latus rectum is perpendicular to the x-axis.
The length of the latus rectum can be found using the formula 4a, where a is the distance between the focus and the directrix.
In this case, a = -2, so the length of the latus rectum is 4(-2) = -8.
Therefore, the length of the latus rectum of the parabola is -8.
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Directrix of a parabola is x + y = 2. If its focus is origin, then latus rectum of the parabola is equal toa)√2 unitsb)2 unitsc)4√2 unitsd)4 unitsCorrect answer is option 'C'. Can you explain this answer?
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Directrix of a parabola is x + y = 2. If its focus is origin, then latus rectum of the parabola is equal toa)√2 unitsb)2 unitsc)4√2 unitsd)4 unitsCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Directrix of a parabola is x + y = 2. If its focus is origin, then latus rectum of the parabola is equal toa)√2 unitsb)2 unitsc)4√2 unitsd)4 unitsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directrix of a parabola is x + y = 2. If its focus is origin, then latus rectum of the parabola is equal toa)√2 unitsb)2 unitsc)4√2 unitsd)4 unitsCorrect answer is option 'C'. Can you explain this answer?.
Directrix of a parabola is x + y = 2. If its focus is origin, then latus rectum of the parabola is equal toa)√2 unitsb)2 unitsc)4√2 unitsd)4 unitsCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Directrix of a parabola is x + y = 2. If its focus is origin, then latus rectum of the parabola is equal toa)√2 unitsb)2 unitsc)4√2 unitsd)4 unitsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directrix of a parabola is x + y = 2. If its focus is origin, then latus rectum of the parabola is equal toa)√2 unitsb)2 unitsc)4√2 unitsd)4 unitsCorrect answer is option 'C'. Can you explain this answer?.
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Directrix of a parabola is x + y = 2. If its focus is origin, then latus rectum of the parabola is equal toa)√2 unitsb)2 unitsc)4√2 unitsd)4 unitsCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Directrix of a parabola is x + y = 2. If its focus is origin, then latus rectum of the parabola is equal toa)√2 unitsb)2 unitsc)4√2 unitsd)4 unitsCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Directrix of a parabola is x + y = 2. If its focus is origin, then latus rectum of the parabola is equal toa)√2 unitsb)2 unitsc)4√2 unitsd)4 unitsCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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