Answer with explanation:
It is given that line ,
4 x+y=b , is tangent to the Parabola →y=a x².
At,x=4
→y=a × 4²
→y=16 a
Point (4, 16 a) lies on the line, 4 x+y=b.
→4 × 4 +1 6 a=b
→ 16 +1 6 a= b
→ 16 a -b+16=0
This is linear equation of line in terms of a and b.On a line infinite number of points lie.So, a and b can take infinite number of ordered pair of values.
