Home
Class 12
MATHS
Find the points on the curve x^2+y^2-2x-...

Find the points on the curve `x^2+y^2-2x-3=0`at which the tangents are parallel to the x-axis.

A

1

B

2

C

3

D

None of these

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • TANGENT & NORMAL

    MOTION|Exercise EXERCISE 2|23 Videos

  • TANGENT & NORMAL

    MOTION|Exercise EXERCISE 3|36 Videos

  • TANGENT & NORMAL

    MOTION|Exercise EXERCISE 4|14 Videos

  • STRAIGHT LINE

    MOTION|Exercise Exercise 4 Lelvel -II|7 Videos

  • THEORY AND EXERCISE BOOK

    MOTION|Exercise EXERCISE - 4 (LEVEL -II)|22 Videos

Similar Questions

Explore conceptually related problems

Find the points on the curve (x^2)/4+(y^2)/(25)=1 at which the tangents are parallel to the x-axis and y-axis.

Find the points on the curve (x^2)/9+(y^2)/(16)=1 at which the tangents are parallel to the x-axis and y-axis.

Knowledge Check

  • What are the points on the curve x^2+y^2-2x-3=0 , where the tangents are parallel to X-axis ?

    A
    (1,2) and (1, -2)
    B
    `(0, sqrt3)` and `(0, -sqrt3)`
    C
    (3, 0) and (-3, 0)
    D
    (2, 1) and (2, -1)

    • Similar Questions

    Explore conceptually related problems

    Find the points on the curve y=x^3-2x^2+x at which the tangents are parallel to x-axis. Also find the tangents at these points.

    Find the point on the curve y = 2x^(2) - 6x - 4 at which the tangent is parallel to the x-axis

    Find points on the curve (x^2)/9-(y^2)/(16)=1 at which the tangents are parallel to the x-axis and y-axis.

    Find the points on the curve x^3-2x^2-2x at which the tangent lines are parallel to the line y=2x-3 .

    Find the points on the curve y=x^(3)-2x^(2)-x at which the tangent lines are parallel to the line y=3x-2

    Find the points on the curve y=x^3-2x^2-x at which the tangent lines are parallel to the line y=3x-2 .

    find the points on the curve x^(2)+y^(2)+2x-3=0 on which the drawn tangent is parallel to X -axis.

    Home
    Profile