TS EAMCET 5 May 2018 Shift 1 Solved Paper

The combined equation of the pair of straight line is,
x2+4xy+3y2−4x −10y+3=0
Compare the equation with standard form.
a=1,h=2,b=3,g=−2, f=−5,c=3
The point of intersection of pair of straight line is,
(

bg−fh

h2−ab

,

af−gh

h2−ab

) =(4,−1)
The equation of line having slope

1

2

and passes through (4,-1)is,
(y−(−1))=

1

2

(x−4)
x−2y−6=0…… (1)
The equation of line having slope

−1

3

and passes through(x,−1) is
(y−(−1))=−

1

3

(x−4)
x+3y−1=0 …… (2)
From equation (1) and equation (2), the combined equation of pair of straight line is,
(x−2y−6)(x+3y−1)=0
x2+xy−6y2−7x −16y+6=0