If the tangent at the point (2,4) to the parabola meets the parabola at and then the midpoint of is |
|||||||

a) |
(4, 2) |
b) |
(2, 4) |
c) |
(7, 9) |
d) |
None of these |

If the tangent at the point (2,4) to the parabola meets the parabola at and then the midpoint of is |
|||||||

a) |
(4, 2) |
b) |
(2, 4) |
c) |
(7, 9) |
d) |
None of these |

1 Answer

127 votes

**(b)**

Equation of tangent to the parabola at is

Or (i)

Equation of chord of parabola whose middle point is is

i.e.,

or (ii)

Equations (i) and (ii) must be identical

By comparing Eqs.(i), (ii)

and

Hence, the required point is (2, 4)

127 votes

127