Question

The origin is shifted to (1, 2). The equation y2 – 8x – 4y + 12 = 0 change to
Y2 = 4aX then a is equal to
1) 1
2) 2
3) -2.
4) -1​

Answer 1

Answer:

a= -2

Step-by-step explanation:

After shifting the origin to (-1,2) then x=X-1,y=Y+2

y2+8x-4y+12=0

(Y+2)2+8(X-1)-4(Y+2)+12=0

Y2+4Y+4+8X-8-4Y-8+12=0

Y2+8X=0

Y2=-8x

but it is given as Y2=4ax

therefore a = -2