Do the anomers of `alpha`-D-glucose have specific rotation of the same magnitude but opposite signs ?

Draw the pyranose structure of alpha-D-glucose .

Find the equations of the st. lines, which pass through the point (3, 4) and have intercepts on the axes : equal in magnitude but opposite in sign .

alpha -D-glucose and beta -D-glucose are anomers/epimers.

Find the slope of a straight line, which cuts off from the axes : intercepts equal in magnitude but opposite in sign.

If the roots of the equation 1/ (x+p) + 1/ (x+q) = 1/r are equal in magnitude but opposite in sign, show that p+q = 2r & that the product of roots is equal to (-1/2)(p^2+q^2) .

The coordinates of the point(s) on the graph of the function f(x)=(x^3)/x-(5x^2)/2+7x-4 , where the tangent drawn cuts off intercepts from the coordinate axes which are equal in magnitude but opposite in sign, are

Consider an arbitrary electrostatic field configuration. A small test charge is placed at a null point (i.e., where E = 0) of the configuration. Show that the equilibrium of the test charge is necessarily unstable. Verify this result for the simple configuration of two charges of the same magnitude and sign placed a certain distance apart.

For what value of m will the equation (x^2-bx)/(ax-c)=(m-1)/(m+1) have roots equal in magnitude but opposite in sign?