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

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

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

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)

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|)=?

If the parabola y=x^(2)+bx+c , touches the straight line x=y at the point (1,1) then the value of b+c is

Let f(x) be a differentiable function and f(x)>0 for all x. Prove that the curves y=f(x) and y=sin kxf(x) touch each other at the points of intersection of the two curves.