engineering recuitment AAI ATC Junior Executive 2025 Mock Test Series Mathematics Circles Orthogonality of Circles
If two circles \({x^2} + {y^2} +4x - 2y + 4 = 0\) and \({x^2} + {y^2} - \alpha x - \frac{3}{2}y + 6 = 0\) intersect orthogonally then what will be the value of α.
1
\(\frac{3}{2}\)
2
\( - \frac{7}{4}\)
3
\( - \frac{{17}}{4}\)
4
\( - \frac{9}{4}\)