If the tangent t the curv `y=f(x )"at" P(x_(1),y_(1))` is paralle to the y-axis, then the of the normal to the curve at P is -

If the tangent to the contentious curve y=f(x) "at" p(a,b) is parallel to the x-axis, then the equation of the tangent at p is

If the tangent to the curve x = t^(2) - 1, y = t^(2) - t is parallel to x-axis , then

If the tangent to the curve y=f(x) is perpendicular to y -axis then

If the tangent to the curve y=f(x) is perpendicular to y -axis then

For the curve y=f(x) at (x_(1),y_(1)) the intercept made by the normal on the y -axis is

The slope of the tangent to a curve y=f(x) at (x,f(x)) is 2x+1. If the curve passes through the point (1,2) then the area of the region bounded by the curve, the x-axis and the line x=1 is

A curve y=f(x) passes through the point P(1,1) . The normal to the curve at P is a(y-1)+(x-1)=0 . If the slope of the tangent at any point on the curve is proportional to the ordinate of the point. Determine the equation of the curve. Also obtain the area bounded by the y-axis, the curve and the normal to the curve at P .

Find the equations of the tangent and the normal to the curve x=asect ,\ \ y=btant at t .

The slope of the tangent to a curve, y = f(x) at (x, f(x)) is 2x+1. If the curve passes through the point (1,2) , then the area of the region bounded by the curve, the x -axis and the line x=1