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Q.

Two triangles ABC and DEF are formed by three tangents and the corresponding three normals to a parabola y2=4ax  respectively. The orthocenter of  ΔABC has coordinates    (-5,4). Then, distance of orthocenter of  ΔDEF  from axis of parabola is 

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a

cannot be determined

b

4 units

c

2 units

d

5 units

answer is C.

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Detailed Solution

Ortho-centres of triangles formed by three tangents and corresponding normals to a parabola are equidistant from axis of parabola.

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