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

The Value Of Parameter a so That Line (3 – a) x + ay + (a2n – 1) = 0 Is Normal To The Curve xy = 1, May Lie In The Interval

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Question

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