about to only mathematics

Options

A. `(4//2,36//5)`
B. `(-2//5,44//5)`
C. `(6,4)`
D. `(2,4)`

Answer

2,3

Explanation

`x^(2)+y^(2)-8x-16y+60=0` (i)
Equation of chord of contract from `( -2,0)` is
`-2x-4(x-2) -8y + 60 =0`
or ` 3x+4y - 34 =0` (ii)
or Solving `(i)` and `(ii)`, we get
`x^(2)+((34-3x)/(4))^(2)-8x-16((34-3x)/(4))+60=0`
or `16x^(2)+1156-204x+9x^(2)-128x-2176+192x+960=0`
or `5x^(2)-28x-12=0`
or `(x-6)(5x+2)=0`
or `x=6, -(2)/(5)`
Therefore, the points are (6,4) and `( -2//5,44//5)`