R D Sharma Solutions for Chapter: The Circle, Exercise 4: VERY SHORT ANSWER QUESTIONS (VSAQs)

Write the coordinates of the centre of the circle passing through $(0,0), (4,0)$ and $(0,-6)$

If the area of the circle passing through $(-2,6)$ and having its centre at $(1,2)$ is $k\pi$ square units, then find the value of $k$.

If the abscissae and ordinates of two points $P$ and $Q$ are roots of the equations $x^2+2ax-b^2=0$ and $x^2+2px-q^2=0$ respectively, then write the equation of the circle with $PQ$ as diameter.

If the equation of the unit circle concentric with $x^2+y^2-8x+4y-8=0$ is $x^2+y^2+2gx+2fy+c=0$, then find the value of $c$.

If the radius of the circle $x^2+y^2+ax+(1-a)y+5=0$ does not exceed $5$, write the number of integral values $a$.

Write the equation of the circle passing through $(3,4)$ and touching $y$-axis at the origin.

If the line $y=mx$ does not intersect the circle $(x+10{)}^2+(y+10{)}^2=180$, then write the set of values taken by $m$

Write the coordinates of the centre of the circle inscribed in the square formed by the lines $x=2, x=6, y=5$ and $y=9$.