Home
Class 12
MATHS
At what points on the curve x^2+y^2-2x-4...

At what points on the curve `x^2+y^2-2x-4y+1=0` , the tangents are parallel to the `y-a xi s ?`

Text Solution

AI Generated Solution

To find the points on the curve \( x^2 + y^2 - 2x - 4y + 1 = 0 \) where the tangents are parallel to the y-axis, we can follow these steps: ### Step 1: Rewrite the equation of the curve The given equation of the curve can be rewritten in a more recognizable form. We can complete the square for both \( x \) and \( y \). \[ x^2 - 2x + y^2 - 4y + 1 = 0 \] ...
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT EXEMPLAR ENGLISH|Exercise Long answer types questions|10 Videos

  • APPLICATION OF DERIVATIVES

    NCERT EXEMPLAR ENGLISH|Exercise OBJECTIVE TYPES QUESTIONS|25 Videos

  • APPLICATION OF INTEGRALS

    NCERT EXEMPLAR ENGLISH|Exercise Objective Type Questions|22 Videos

Similar Questions

Explore conceptually related problems

At what points on the curve x^2+y^2-2x-4y+1=0 , the tangents are parallel to the y-axis is?

At what points on the curve x^2+y^2-2x-4y+1=0 , the tangents are parallel to the y-axis?

At what points on the circle x^2+y^2-2x-4y+1=0 , the tangent is parallel to the x-axis.

At what point on the circle x^2+y^2-2x-4y+1=0, the tangent is parallel to x-axis.

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

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

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

At what points on the curve y=2x^2-x+1 is the tangent parallel to the line y=3x+4 ?

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.

At what points on the curve y=x^2 on [-2,\ 2] is the tangent parallel to x-axis?