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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)
    2√2 units 
  • d)
     4 units
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Directrix of a parabola is x + y = 2. If its focus is origin, then lat...
The directrix of a parabola is a horizontal line, so the equation of the directrix is of the form y = k, where k is a constant. In this case, the equation of the directrix is y = 2.

The focus of the parabola is the point (0, 0) which is the origin.

The latus rectum of a parabola is the line segment perpendicular to the axis of symmetry and passing through the focus. Its length is equal to the distance between the focus and the directrix.

In this case, the distance between the focus (0, 0) and the directrix y = 2 is 2 units.

Therefore, the latus rectum of the parabola is 2 units.
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Directrix of a parabola is x + y = 2. If its focus is origin, then lat...
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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)2√2 unitsd)4 unitsCorrect answer is option 'C'. Can you explain this answer?
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