) parallel to y-axisNCERT Exemplarnd the points on the curvey x atwhic

1.	) parallel to y-axisNCERT Exemplarnd the points on the curvey x atwhich the slope of the tangent is equal to they coordinate ofint.po
Answer» let the point be (a,b)and the slope of function y = x³ is given by dy/dx = 3x² now dy/dx at (a,b) = 3a²so from equation slope "3a²" = b => 3a² = b => a² = b/3 ; a = ±√b/3. therefore points are (+√b/√3, b) and (-√b/√3,b)

) parallel to y-axisNCERT Exemplarnd the points on the curvey x atwhich the slope of the tangent is equal to they coordinate ofint.po

Answer»

let the point be (a,b)and the slope of function y = x³ is given by dy/dx = 3x²

now dy/dx at (a,b) = 3a²so from equation slope "3a²" = b

=> 3a² = b => a² = b/3 ; a = ±√b/3.

therefore points are (+√b/√3, b) and (-√b/√3,b)