The ends A and B of a rod of length `sqrt 5` are sliding along the curve `y = 2x^2.` Let `x_A and x_B` be the x-coordinate of the ends. At the moment when A is at (0, 0) and B is at (1, 2) the derivative `(d x_b)/(d x_A)` has the value equal to

Let a and b be the roots of the equation x^2-10 c x-11 d=0 and those of x^2-10 a x-11 b=0 are c and d and then find the value of a+b+c+d

Let a and b are the roots of the equation x^2-10 xc -11d =0 and those of x^2-10 a x-11 b=0 ,dot are c and d then find the value of a+b+c+d

Let a , b and be the roots of the equation x^2-10 xc -11d =0 and those roots of c and d of x^2-10 a x-11 b=0 ,dot then find the value of a+b+c+d

If the line a x+b y+c=0 is a normal to the curve x y=1, then (a) a >0,b >0 (b) a >0,b >0 (d) a 0

If a

If the straight line y-2x+1=0 is the tangent to the curve xy+ax+by=0 at x=1 , then the values of a and b are respectively a) 1and 2 b) 1and -2 c) -1 and 2 d) -1 and -2

If (x_1, y_1)&(x_2,y_2) are the ends of a diameter of a circle such that x_1&x_2 are the roots of the equation a x^2+b x+c=0 and y_1&y_2 are the roots of the equation p y^2=q y+c=0. Then the coordinates of the centre of the circle is: (b/(2a), q/(2p)) ( b/(2a), q/(2p)) (b/a , q/p) d. none of these