Maharashtra Board Solutions for Chapter: Circle, Exercise 3: EXERCISE 6.3

Write the parametric equations of the circle ${\mathrm{x}}^2+{\mathrm{y}}^2=9$

Write the parametric equations of the circles ${\mathrm{x}}^2+{\mathrm{y}}^2+2\mathrm{x}-4\mathrm{y}-4=0$

Write the parametric equations of the circles $(\mathrm{x}-3{)}^2+(\mathrm{y}+4{)}^2=25$

Find the parametric representation of the circle $3x^2+3y^2-4x+6y-4=0$.

Find the equation of a tangent to the circle ${\mathrm{x}}^2+{\mathrm{y}}^2-3\mathrm{x}+2\mathrm{y}=0$ at the origin.

Show that the line $7x-3y-1=0$touches the circle $x^{2 }+y^2+5x-7y+4=0$ at point $(1,2)$.

Find the equation of a tangent to the circle ${\mathrm{x}}^2 +{\mathrm{y}}^2-4\mathrm{x}+3\mathrm{y}+2=0$ at the point $\left(4,-2\right)$.