Find the centre and radius of the circle x2 + y2 − 6x + 4y − 12 = 0.
Circles
Original Khojo Papers practice question — not from a past board paper.
x2 + y2 − 6x − 8y = 0
No citable source has been recorded for this record. Treat it as practice material, not as fact.
The radius is the distance from the centre to the origin, that is 5, so the equation is (x − 3)2 + (y − 4)2 = 25, which expands to the form given.
From the same topic and chapter, at a similar level.
Find the centre and radius of the circle x2 + y2 − 6x + 4y − 12 = 0.
Circles
Find the length of the tangent from the point (5, 6) to the circle x2 + y2 = 9.
Circles
Find the equation of the circle with the points (1, 2) and (5, 6) as the ends of a diameter.
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