Let parabolas `y=x(c-x)` and `y-x^(2)+ax+b` touch each other at the point `(1,0)` then `b-c=`

Let the parabolas y=x(c-x)and y=x^(2)+ax+b touch each other at the point (1,0), then-

Let the parabolas y=x(c-x) and y=x^(2)+ax+b touch each other at the point (1,0). Then a+b+c=0a+b=2b-c=1(d)a+c=-2

If the parabolas y=x^(2)+ax+b and y=x(c-x) touch each other at the point (1,0), then a+b+c=

Let the parabolas y= x^(2)+ ax +b and y =x(c-x) touch cach other at point (1,0). Then

The curves y=x^(2)+x+1 and 2y=x^(3)+5x touch each other at the point

The curves y=x^(3)+x+1 and 2y=x^(3)+5x touch each other at the point

If y=x^(3)-c and y=x^(2)+ax+b touch each other at the point (1,2) , then (|a|+|b|+|c|)/(|a+b-c|)=?

Find the value of a,b,c such that curves y=x^(2)+ax+bandy=cx-x^(2) will touch each other at the point (1,0)

Prove that the curves y^2=4x and x^2+y^2-6x+1=0 touch each other at the points (1,\ 2) .