P lies on the circle with diameter AB exactly when AP^2 + BP^2 = AB^2
This type of question, asked 2 times: CDS 1 2019, CDS 2 2026. All 2 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 1 2019
38A line segment is the diameter of a circle with centre at having radius 6.5 cm. Point is in the plane of the circle such that and . In which one of the following cases the point does not lie on the circle ?Tap an option to check your answer.
Question 2
CDS 2 2026
65A Question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question : ABC is a triangle inscribed in a semi-circle such that AC coincides with the diameter of the semi-circle. Let P be any point on the arc of the semi-circle. What is equal to ? Statement I : The radius of the circle is 5 cm. Statement II : AB = 6 cm and BC = 8 cm. Which one of the following is correct in respect of the above Question and Statements ?Tap an option to check your answer.