If the graphs of the functions`y= log _(e)x and y = ax` intersect at exactly two points,then find the value of `a`.

If the graphs of y = lnx and y=ax intersect at exactly two points show that 'a' must be to (0,(1)/(e))

The graph of y= log_(5)x and y="ln "0.5x intersect at a point where x equals

The graphs y=2x^(3)-4x+2and y=x^(3)+2x-1 intersect in exactly 3 distinct points. Then find the slope of the line passing through two of these points.

The graphs y=2x^(3)-4x+2and y=x^(3)+2x-1 intersect in exactly 3 distinct points. Then find the slope of the line passing through two of these points.

The graph y=2x^(3)-4x+2 and y=x^(3)+2x-1 intersect in exactly 3 distinct points.Then find the slope of the line passing through two of these points.

Given the graphs of the two functions, y= f(x) & y =g(x). In theadjacent figure from point A on the graph of the function y fx)corresponding to the given value of the independent variable (say x),a straight line is drawn parallel to the X-axis to intersect the bisectorof the first and the third quadrants at point B. From the point B astraight line parallel to the Y-axis is drawn to intersect the graph ofthe function y= g(x) at C. Again a straight line is drawn from the point C parallel to the X-axis, to intersect the line NN' at D. If thestraight line NN' is parallel to Y-axis, then the co-ordinates of the point D are

If the graph of the function y=f(x) has a unique tangent at the point (a ,0) through which the graph passes, then evaluate ("lim")_(xveca)((log)_e{1+6f(x)})/(3f(x))

The graph y=2x^3-4x+2a n dy=x^3+2x-1 intersect in exactly 3 distinct points. Then find the slope of the line passing through two of these points.

The graph y=2x^3-4x+2a n dy=x^3+2x-1 intersect in exactly 3 distinct points. Then find the slope of the line passing through two of these points.