List of top General Aptitude Questions on Quantitative Aptitude asked in GATE EE

In the given figure, \(\overline{PQ}\) is the diameter of a circle with center \(O\). Two points \(R\) and \(S\) are chosen on the circle such that \(\angle ROS=80^\circ\). When \(\overline{PR}\) and \(\overline{QS}\) are extended, they meet at \(T\). The value of \(\angle RTS\) is ________.

At how many points will the curves \(y=x^2\) and \(y=-x^2-2x-1\) intersect in the real \((x,y)\) plane?