Home
Class 12
MATHS
Show that the line (x-2)costheta+(y-2)si...

Show that the line `(x-2)costheta+(y-2)sintheta=1` touches a circle for all values of `theta` .Find the circle.

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)+y^(2)-4x-4y+7=0`
Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the line 3x-4y=1 touches the circle x^(2)+y^(2)-2x+4y+1=0 .

If x=2+3costheta and y=1-3sintheta represent a circle then the centre and radius is

If sin theta-cos theta=(1)/(2) ,then find the value of sintheta+costheta

Show that the normal at any point θ to the curve x = a costheta + a theta sin theta, y = a sintheta – atheta costheta is at a constant distance from the origin.

The centre of the circle x = 2 + 3 cos theta y = 3 sin theta -1 is ...

A Tangent to a circle is a line which touches the circle at only one point.

If A=[(costheta,-sintheta),(sintheta,costheta)], then find the values of theta satisfying the equation A^T+A=I_2 .

The line y=x+a sqrt(2) touches the circle x^(2)+y^(2)=a^(2) at the point

A circle touches the x - axis and also touches the circle with centre (0,3) and radius 2. The locus of the centre of the circle is :

If x = 2 + 3 cos theta and y = 1 -3 sin theta represent a circle then the centre and radius is