Question

plane x contains point c. plane y contains points a and b. how many planes exist that pass through points a, b, and c? 0 1 2 3

Explanation:

Step1: Recall the plane - point relationship

According to the postulate, three non - collinear points determine a unique plane.

Step2: Analyze the given points

Points \(A\), \(B\), and \(C\) are non - collinear (since \(A\) and \(B\) are in plane \(Y\), \(C\) is in plane \(X\) which intersects plane \(Y\)). So, there is exactly one plane that passes through three non - collinear points \(A\), \(B\), and \(C\).

Answer:

1