If A is `(x_1,y_1)` where `x_1 =1` on the curve `y=x^2+x+10`.the tangent at Acuts the x-axisat B. The value of `bar(OA). bar(AB)` is

If A is (x_1,y_1) where x_1 =1 on the curve y=x^2+x+10 . The value of bar(OA). bar(AB) is

A tangent is drawn to the curve y=8/x^2 in XY-plane at the point A(x_0, y_0), where x_0=2 and the tangent cuts the X-axis at a point B. Then bar(AB).bar(OB) =

In the coordinate plane, A(1,y_(0)) " is a point on the curve " y=2sqrtx . That tangent at A to the curve meets X-axis in B. If 'O' is the oringin, then find bar(AB).bar(OA) .

Slope of tangent of the curve y=x^2+x+1 at x=1 is ___

Consider the curve 2y=3-x^2 Find the slope of the tangent to this curve at (x_1,y_1) .

Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the points where the curve cuts the x-axis.