Home
Class 12
MATHS
Find the equation of tangent to the coni...

Find the equation of tangent to the conic `x^2-y^2-8x+2y+11=0` at `(2,1)`.

Text Solution

AI Generated Solution

To find the equation of the tangent to the conic \( x^2 - y^2 - 8x + 2y + 11 = 0 \) at the point \( (2, 1) \), we will follow these steps: ### Step 1: Differentiate the conic equation We start with the given conic equation: \[ x^2 - y^2 - 8x + 2y + 11 = 0 \] We will differentiate this equation with respect to \( x \). ...
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    CENGAGE ENGLISH|Exercise SOLVED EXAMPLES|11 Videos

  • HYPERBOLA

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 7.1|3 Videos

  • HIGHT AND DISTANCE

    CENGAGE ENGLISH|Exercise Archives|3 Videos

  • INDEFINITE INTEGRATION

    CENGAGE ENGLISH|Exercise Multiple Correct Answer Type|2 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the tangent to the circle x^2 + y^2-30x+6y+109=0 at (4, -1)

Find the equation of the tangent to the circle x^2+y^2-2x-2y-23=0 and parallel to 2x+y+3=0.

Find the equation of tangents of the circle x^(2) + y^(2) - 8 x - 2y + 12 = 0 at the points whose ordinates are -1.

Find the equation of the normals to the circle x^2+y^2-8x-2y+12=0 at the point whose ordinate is -1

Find the equation of the normals to the circle x^2+y^2-8x-2y+12=0 at the point whose ordinate is -1

The equation of the tangent to the circle x^(2)+y^(2)-4x+4y-2=0 at (1,1) is

Find the equations of the tangents to the circle x^(2) + y^(2) -8y - 8 = 0 which are parallel to the line 5 x -2 y = 2.

Find the equation of the tangents to the circle x^(2)+y^(2)-4x+6y-12=0 which are parallel to x+y-8=0

Find the equations of the two tangents to the circle x^(2) +y^(2)- 8x - 10y - 8 = 0 which are perpendicular to the line 5x - 12y = 2.

Find the equation of the tangent to the circle x^(2) + y^(2) - 2x + 8y - 23 = 0 at the point P(3, - 10) on it.