The function `y = (ax + b)/((x - 1)(x - 4))` has turning point at P(2, -1). Then find the values of a and b.

The curve f(x) = (x^(2) + ax + b)/(x - 10) has a stationary point at (4, 1). Find the values of a and b. Also, show that f(x) has point of maxima at this point.

If (x+1,y-2)=(3,1) , find the values of x and y.

If (x+1, y-2)=(3,1) , find the values of x and y .

p(x)= ax^2+bx+5 :- If (x^2-1) is a factor of p(x),then find the value of a and b?

Given that x^(2)+x-6 is a factor of 2x^(4)+x^(3)-ax^(2)+bx+a +b-1 , find the values of a and b.

If the curve y = ax^(2) - 6x + b passes through (0, 2) and has its tangent parallel to the x-axis at x = (3)/(2) , then find the values of a and b.

If the function f(x) = x^(3) - 6x^(2) + ax + b defined on [1, 3] satisfies Rolle's theorem for c = (2 sqrt(3) + 1)/(sqrt(3)) , then find the values of a and b.