TS EAMCET 11-Sep-2020 Shift 1 Solved Paper

Equation of given curve C is
Now, on rotating the axes through an angle ‌

π

4

in the positive direction, so we should replace x by
and y by
then
transformed equation of C is
On comparing with Y2+XY−X=0, we get
√2(g+f)=1,f−g=0 and c=0
∴‌‌f=g=‌

1

2√2

and a+b=1
∴b=1,a=0, so h=−‌

1

2

So, the value of (h2−ab)−2gf
=(‌

1

4

−0)−2‌

1

8

=‌

1

4

−‌

1

4

=0