TS EAMCET 5 May 2018 Shift 1 Solved Paper

The coordinate of P on the major axis of the ellipse is calculated as,
P=(

2x±√5+1×0

2+1

,

2x×0+1×0

2+1

)
=(±

2√5

3

,0)
The equation of line passing through A and P is expressed as,
y−3=

0−3

2√5 3 −0

y=−

9

2√5

x+3 …… (1)
The intersection point of line in equation (1) and S=0 are(0,3) and (

30

7√5

,

−6

7

)
The length of chord is calculated as,
L=√(

30

7√5

−0)2+(3+

6

7

)2
=√

900

247

+

729

49

=

3√101

7

Thus, the value of k is 7 .