Find the equation of the circle with the points (1, 2) and (5, 6) as the ends of a diameter.
Circles
Original Khojo Papers practice question — not from a past board paper.
Centre (3, −2) and radius 5
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Comparing with x2 + y2 + 2gx + 2fy + c = 0 gives g = −3, f = 2 and c = −12, so the centre is (3, −2) and the radius is √(9 + 4 + 12) = 5.
From the same topic and chapter, at a similar level.
Find the equation of the circle with the points (1, 2) and (5, 6) as the ends of a diameter.
Circles
Find the equation of the circle passing through the origin with its centre at (3, 4).
Circles
Find the length of the tangent from the point (5, 6) to the circle x2 + y2 = 9.
Circles
Write the equation of the circle with centre (2, −3) and radius 4.
Circles
In a class of 60 students, 35 play cricket, 28 play football and 12 play both. How many play neither?
Sets
Prove that cos 2A = 1 − 2sin2A.
Trigonometric Functions