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
Question ID - 56027 | SaraNextGen Top Answer
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 |
|||||||
|
a) |
(4, 2) |
b) |
(2, 4) |
c) |
(7, 9) |
d) |
None of these |
1 Answer
127 votes
Answer Key / Explanation : (b) -
(b)
Equation of tangent to the parabola 
at 
is
Or 
(i)
.png)
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
Answer Link
127