Question

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

Solution

Correct option is

          

Slope of normal = x2 > 0

SIMILAR QUESTIONS

Q1

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 

Q2

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 

Q3

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

Q4

The distance between the origin and the normal to the curve

y = e2x + x2 at x = 0 is

Q5

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

Q6

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

Q7

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

Q8

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 

                          

Q9

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

Q10

A cylindrical gas container is closed at the top and open at the bottom; if the iron plate forming the cylindrical sides. The ratio of the height to diameter of the diameter of the cylindrical using minimum material for the same capacity is