Which of the following curves cut the parabola at right angles
The explanation for the correct option
Option D: is the general equation of a parabola symmetric to the y-axis opening upwards with the tangent perpendicular to the axis of symmetry.
The intersection is at the right angle.
is the general equation of a parabola symmetric to the x-axis opening rightwards with the tangent perpendicular to the axis of symmetry.
The tangent of the parabola at is the X-axis and the tangent of the parabola at is the Y-axis.
Since X and Y axes are perpendicular to each other, The parabolas cut each other at right angle.
Hence, the correct option is D
The explanation for incorrect options
Option A: is a circle with center as and radius . The intersection is not at the right angle.
Option B: is an exponential function. The intersection is not at the right angle.
Option C: is a straight line. The intersection is not at the right angle.
Hence, the correct option is D