Home
Class 12
MATHS
The circle x^2+y^2-4x-4y+4=0 is inscribe...

The circle `x^2+y^2-4x-4y+4=0` is inscribed in a triangle which has two of its sides along the coordinate axes. The locus of the circumcenter of the triangle is `x+y-x y+k(x^2+y^2)^(1/2)=0` . Find `kdot`

Text Solution

Verified by Experts

The correct Answer is:
Hence, the required value of k is 1.
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|18 Videos

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|17 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Complex Number Exercise 8|2 Videos

Similar Questions

Explore conceptually related problems

If the circle x^2+y^2 -2x-2y+1=0 is inscribed in a triangle whose two sides are axes and one side has negative slope cutting intercepts a and b on x and y axis. Then

If the circle x^2+y^2 -2x-2y+1=0 is inscribed in a triangle whose two sides are axes and one side has negative slope cutting intercepts a and b on x and y axis. Then

The circumcenter of the triangle formed by the line y=x ,y=2x , and y=3x+4 is

The circle x^2+y^2-6x-10 y+k=0 does not touch or intersect the coordinate axes, and the point (1, 4) is inside the circle. Find the range of value of kdot

A right angled isosceles triangle is inscribed in the circle x^(2)+y^(2)-4x-2y-4=0 then length of the side of the triangle is

A triangle has two of its sides along the axes, its third side touches the circle x^2 + y^2 -2ax-2ay+a^2=0 . Find the equation of the locus of the circumcentre of the triangle.

The circle x^2+y^2-4x-4y+4=0 is inscribed in a variable triangle O A Bdot Sides O A and O B lie along the x- and y-axis, respectively, where O is the origin. Find the locus of the midpoint of side A Bdot

The circle x^2+y^2-4x-4y+4=0 is inscribed in a variable triangle O A Bdot Sides O A and O B lie along the x- and y-axis, respectively, where O is the origin. Find the locus of the midpoint of side A Bdot

A square is inscribed in the circle x^(2)+y^(2)-2x+4y-93=0 with its sides are parallel to coordinate axes then vertices of square are

The equations of the sides of a triangle are x+y-5=0, x-y+1=0, and y-1=0. Then the coordinates of the circumcenter are