Correct option (A) (5/4,1)
Explanation :
See Fig. A = (2, k), B = (2, 0), C = (0, 1).
Now
Now, the equation of the altitude through A(2,5/2) is
y - 5/2 = 2(x - 2)
2y - 5= 4(x - 2)
4x - 2y = 3 ......(1)
Altitude through C(0,10) is
y = 1 ...(2)
Therefore, from Eqs. (1) and (2), the orthocentre of ΔABC is
(5/4,1)