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If  be a point on the parabola  and  is the foot perpendicular drawn from  on the directrix of the parabola, then length of each side of an equilateral triangle , where  is focus of the parabola is

a)

2

b)

4

c)

6

d)

8


Question ID - 55847 | Toppr Answer

If  be a point on the parabola  and  is the foot perpendicular drawn from  on the directrix of the parabola, then length of each side of an equilateral triangle , where  is focus of the parabola is

a)

2

b)

4

c)

6

d)

8

1 Answer - 5876 Votes

3537

Answer Key : (c) -

(c)

Equation of directrix is

 i.e,

Let coordinates of  be

Therefore, coordinate of  are

length of side =6



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