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Tangents  and  drawn to  from any arbitrary point  on the line . Locus of midpoint of chord  is

a)

b)

c)

d)

None of these



Question ID - 55923 | SaraNextGen Top Answer

Tangents  and  drawn to  from any arbitrary point  on the line . Locus of midpoint of chord  is

a)

b)

c)

d)

None of these

1 Answer
127 votes
Answer Key / Explanation : (a) -

(a)

Any point on link  is

Equation of chord  is

i.e.,    …(i)

If midpoint of chord  is , then equation of chord  is

i.e.    …(ii)

Comparing the ratio of coefficients of Eqs. (i) and (ii), we get

Thus, locus of ‘ ’ is

127 votes


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