Question

The equations of the tangents to the curve y = x4 from the point (2, 0) not on the curve, are given by

Solution

Correct option is

y = 0 & 

Use graphs clearly x-axis is one of them y = 0   

Let y = m (x – 2) be a tangent to the curve at   

     

As the point satisfies y = m (x – 2)    

   

   

    

SIMILAR QUESTIONS

Q1

A spherical balloon is pumped at the constant rate of 3 m3/min. The rate of increase of its surface area as certain instant is found to be 5 m2/min. At this instant it’s radius is equal to

Q2

The third derivative of a function f’’(x) vanishes for all x. If f (0) = 1, f’ (1) = 2 and f’’ = –1, then f (x) is equal to 

Q3

The chord joining the points where x = p and x = q on the curve ax2 + bx + c is parallel to the tangent at the point on the curve whose abscissa is 

Q4

If the tangent at (1, 1) on y2 = x (2 – x)2 meets the curve again at P, then is

Q5

The distance between the origin and the normal to the curve

y = e2x + x2 at x = 0 is

Q6

If the line ax + by + c = 0 is a normal to the curve xy = 1 then

Q7

The point of intersection of the tangents drawn to the curve x2y = 1 – y at the points where it is meet by the curve xy = 1 – y is given by

Q8

The slope of the normal at the point with abscissa x = –2 of the graph of the function f (x) = | x2 – x | is

Q9

The tangent to the graph of the function y = f (x) at the point with abscissax = 1 form an angle of π/6 and at the point x = 2 an angle of π/3 and at the point x = 3 an angle of π/4. The value of 

                          

Q10

The value of parameter a so that line (3 – ax + ay + (a2n – 1) = 0 is normal to the curve xy = 1, may lie in the interval