If `y=(a x-b)/((x-1)(x-4))` has a turning point `P(2,\ -1)` , find the values of `a` and `b` and show that `y` is maximum at `P` .

If y=(a x-b)/((x-1)(x-4)) has a turning point P(2,-1), find the value of a and b .

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 function y=(a x+b)/((x-1)(x-4)) has turning point at P(2,1)dot Then find the value of a\ a n d\ bdot

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

If (p+1) x+y=3 and 3y - (p-1)x=4 are perpendicular to each other, find the vlaue of p.

If y+ (2p + 1) x + 3=0 and 8y- (2p-1)x=5 are mutually perpendicular, find the value of p.

If a line passes through the point P(1,-2) and cuts the x^2+y^2-x-y= 0 at A and B , then the maximum of PA+PB is

A point P (a, b) is reflected in the x-axis to P'(2, -3). Write down the values of a and b. P" is the image of P, reflected in the y-axis. Write down the co-ordinates of P". Find the co-ordinates of P", when P is reflected in the line, parallel to y-axis, such that x = 4.

If the circles x^2+y^2+2a x+c y+a=0 and x^2+y^2-3a x+d y-1=0 intersects at points P and Q , then find the values of a for which the line 5x+b y-a=0 passes through Pa n dQdot

If P(x , y) is any point on the line joining the point A(a ,0)a n dB(0, b), then show that x/a+y/b=1.