Home
Class 12
MATHS
The equation of the tangent to the curve...

The equation of the tangent to the curve `y=x+(4)/(x^(2))`, that is parallel to the x-axis, is :

A

y = 0

B

y = 1

C

y = 2

D

y = 3

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|25 Videos

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise Multiple Choice Questions LEVEL-II|35 Videos

  • AREA UNDER CURVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Question from karnataka CET & COMED)|9 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the tangent to the curve y= sqrt(3x-2) which is parallel to the line 4x-2y+5=0.

Find the equation of the tangent line to the curve y = x^(2) - 2x + 7 which is (a) parallel to the line 2x - y + 9 = 0

Knowledge Check

  • The equation of the tangent to the curve 6y=7-x^(3) at (1,1) is

    A
    2x+y = 3
    B
    x+2y = 3
    C
    x+y =-1
    D
    x+y+2 =0

  • The point at which the tangent to the curve y = x^(2)-4x is parallel to x-axis is

    A
    (0,4)
    B
    (-2,4)
    C
    (2,4)
    D
    (2,-4)

  • The equation of the horizontal tangent to the curve y=e^(x)+e^(-x) is :

    A
    y = -2
    B
    y = -3
    C
    y = 2
    D
    None of these.

    • Similar Questions

    Explore conceptually related problems

    Find the equation of the tangent line to the curve y = x^(2) – 2x +7 which is (a) parallel to the line 2x – y + 9 = 0 (b) perpendicular to the line 5y – 15x = 13.

    Find the equation of the tangent to the curve y=(x-7)/((x-2)-(x-3)) at the point where it cuts the x-axis.

    The point on the curve y = 6x-x^(2) where the tangent is parallel to x-axis is

    The equation of the common tangent to the curves y^2=8x and xy =-1 is :

    The equation of the tangent to the parabola (y-2)^(2)=8(x+1), which is parallel to the line y=2 x-3 is

    Home
    Profile