120022 If one end of the diameter of \(x^2+y^2-2 x-6 y-15=0\) is \((4,1)\), then the co-ordinates of the other end is

120023 If the angle between the circles
\(x^2+y^2-12 x-6 y+41=0 \text { and }\)
\(x^2+y^2+k x+6 y-59=0\) is \(45^{\circ}\), then a value of \(k\) is

120024 If the segments of the straight lines \(x+y=6\) and \(x+2 y=4\) are two diameters of a circle passing through \((6,2)\), then the equation of that circle is

120025 For a circle of diameter \(R\), touching \(x^2+y^2-4 y\) \(=0\) and passing through \((4,5)\), which of the following is correct?

120026 If the circles \(x^2+y^2-2 \lambda x-2 y-7=0\) and \(3\left(x^2\right.\) \(\left.+y^2\right)-8 x+29 y=0\) are orthogonal, then \(\lambda\) is equal to

120022 If one end of the diameter of \(x^2+y^2-2 x-6 y-15=0\) is \((4,1)\), then the co-ordinates of the other end is

120023 If the angle between the circles
\(x^2+y^2-12 x-6 y+41=0 \text { and }\)
\(x^2+y^2+k x+6 y-59=0\) is \(45^{\circ}\), then a value of \(k\) is

120024 If the segments of the straight lines \(x+y=6\) and \(x+2 y=4\) are two diameters of a circle passing through \((6,2)\), then the equation of that circle is

120025 For a circle of diameter \(R\), touching \(x^2+y^2-4 y\) \(=0\) and passing through \((4,5)\), which of the following is correct?

120026 If the circles \(x^2+y^2-2 \lambda x-2 y-7=0\) and \(3\left(x^2\right.\) \(\left.+y^2\right)-8 x+29 y=0\) are orthogonal, then \(\lambda\) is equal to

120022 If one end of the diameter of \(x^2+y^2-2 x-6 y-15=0\) is \((4,1)\), then the co-ordinates of the other end is

120023 If the angle between the circles
\(x^2+y^2-12 x-6 y+41=0 \text { and }\)
\(x^2+y^2+k x+6 y-59=0\) is \(45^{\circ}\), then a value of \(k\) is

120024 If the segments of the straight lines \(x+y=6\) and \(x+2 y=4\) are two diameters of a circle passing through \((6,2)\), then the equation of that circle is

120025 For a circle of diameter \(R\), touching \(x^2+y^2-4 y\) \(=0\) and passing through \((4,5)\), which of the following is correct?

120026 If the circles \(x^2+y^2-2 \lambda x-2 y-7=0\) and \(3\left(x^2\right.\) \(\left.+y^2\right)-8 x+29 y=0\) are orthogonal, then \(\lambda\) is equal to

120022 If one end of the diameter of \(x^2+y^2-2 x-6 y-15=0\) is \((4,1)\), then the co-ordinates of the other end is

120023 If the angle between the circles
\(x^2+y^2-12 x-6 y+41=0 \text { and }\)
\(x^2+y^2+k x+6 y-59=0\) is \(45^{\circ}\), then a value of \(k\) is

120024 If the segments of the straight lines \(x+y=6\) and \(x+2 y=4\) are two diameters of a circle passing through \((6,2)\), then the equation of that circle is

120025 For a circle of diameter \(R\), touching \(x^2+y^2-4 y\) \(=0\) and passing through \((4,5)\), which of the following is correct?

120026 If the circles \(x^2+y^2-2 \lambda x-2 y-7=0\) and \(3\left(x^2\right.\) \(\left.+y^2\right)-8 x+29 y=0\) are orthogonal, then \(\lambda\) is equal to

120022 If one end of the diameter of \(x^2+y^2-2 x-6 y-15=0\) is \((4,1)\), then the co-ordinates of the other end is

120023 If the angle between the circles
\(x^2+y^2-12 x-6 y+41=0 \text { and }\)
\(x^2+y^2+k x+6 y-59=0\) is \(45^{\circ}\), then a value of \(k\) is

120024 If the segments of the straight lines \(x+y=6\) and \(x+2 y=4\) are two diameters of a circle passing through \((6,2)\), then the equation of that circle is

120025 For a circle of diameter \(R\), touching \(x^2+y^2-4 y\) \(=0\) and passing through \((4,5)\), which of the following is correct?

120026 If the circles \(x^2+y^2-2 \lambda x-2 y-7=0\) and \(3\left(x^2\right.\) \(\left.+y^2\right)-8 x+29 y=0\) are orthogonal, then \(\lambda\) is equal to