Question

eliminate theta and express it in terms of quadratic equation​

Answer 1

Answer:

9x²+25y²+36x-200y+221=0.

Step-by-step explanation:

▶Given here,.

↪X = -2+5Sin¢.

↪(X+2)/5= Sin¢..............(1)

or,

↪y= 3Cos¢+4.

↪(y-4)/3= Cos¢...............(2).

▶Squariing both side and adding (1) and (2).

↪(x+2)²/25 + (y-4)²/9 = Sin²¢+ Cos²¢.

▶But , we know that ,

♠Sin²¢ + Cos²¢.= 1.

So,

↪(x+2)²/25 + (y-4)²/9 = 1.

↪9(x+2)²+25(y-4)²=225.

↪9(x²+4+4x)+25(y²+16-8y)=225.

↪9x²+25y²+36x-200y+436-225=0.

↪9x²+25y²+36x-200y+221=0.