Question

Let P, Q and R are three co-normal points on the parabola $y^2=4ax.$ Then the correct statement(s) is/are

• A. algebraic sum of the slopes of the normals at P, Q and R vanishes
• B. algebraic sum of the ordinates of the points P, Q and R vanishes
• C. centroid of the triangle PQR lies on the axis of the parabola
• D. circle circumscribing the triangle PQR passes through the vertex of the parabola

Answer 1

Answer: (A), (B), (C), (D)

Correct answer is (a) algebraic sum of the slopes of the normals at P, Q and R vanishesCorrect answer is (b) algebraic sum of the ordinates of the points P, Q and R vanishesCorrect answer is (c) centroid of the triangle PQR lies on the axis of the parabolaCorrect answer is (d) circle circumscribing the triangle PQR passes through the vertex of the parabola