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If two normals to a parabola  intersect at right angles, then the chord joining their feet passes through a fixed point whose co-ordinates are

a)

(,0)

b)

c)

d)

None


Question ID - 56089 | Toppr Answer

If two normals to a parabola  intersect at right angles, then the chord joining their feet passes through a fixed point whose co-ordinates are

a)

(,0)

b)

c)

d)

None

1 Answer - 5876 Votes

3537

Answer Key : (b) -

(b)

Slope of normal at point  and  is  and  respectively

Equation of chord joining  and  is

Or 

But

Chord  is

Or  

Which passes through the fixed point



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