Home
Class 12
MATHS
Show that x^(2) + y^(2) -6x -9y +13 =0, ...

Show that `x^(2) + y^(2) -6x -9y +13 =0, x^(2) +y^(2) -2x -16y =0` touch each other . Find the point of contact and the equation of common tangent at their point of contact.

Text Solution

Verified by Experts

The correct Answer is:
`4x-3y+6=0`
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS - II (B) MODEL PAPER 1

    VGS PUBLICATION-BRILLIANT|Exercise SECTION B|6 Videos
  • MATHEMATICS - II (B) MODEL PAPER 10

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - C (III. Long Answer type questions.)|7 Videos

Similar Questions

Explore conceptually related problems

Show that the circle x^(2) +y^2) - 6x -2y + 1 = 0, x^(2) + y^(2) + 2x - 8y + 13 = 0 touch each other. Find the point of contact and the equation of common tangent at their point of contact.

Show that the circles x^(2) + y^(2) -6x -2y + 1=0 , x ^(2) + y^(2) + 2x -8y + 13 =0 touch each other find the point of contact and the equation of the common tangent at their point of contact.

Show that the circles x^(2) + y^(2)-4x-6y-12=0 and x^(2) +y^(2) + 6x + 18 y + 26 = 0 touch each other. Also find the point of contact and common tangent at this point of contact.

Show that the circles x^(2)+y^(2)-8x-2y+8=0 and x^(2)+y^(2)-2x+6y+6=0 touch each other and find the point of contact.

If the circles x^(2)+y^(2)+4x-2y-220=0, x^(2)+y^(2)-4x+4y-92=0 touch each other then the points of contact is

Show that the circles x^2 + y^2 - 2y -8x+ 8 = 0 and x^2 + y^2 - 2x + 6y + 6 = 0 touch each other and find the point of contact.

Show that the circles x^(2) +y^(2) -4x-6y-12=0 and 5(x^(2)+y^(2))-8x - 14y - 32 = 0 touch each other and find their point of contact.