Find the equation of the circle with centre (1,1) and radius 2
Fill in the blanks:(i) The centre of a circle lies in of the circle. (exterior/ interior)(ii) A point, whose distance from the centre of a circle is greater than its radius lies inof the circle. (exterior/ interior)(iii) The longest chord of a circle is a_________ of the circle.(iv) An arc is a _________when its ends are the ends of a diameter.(v) Segment of a circle is the region between an arc and________ of the circle.(vi) A circle divides the plane, on which it lies, in________ parts.
Find the equation for the ellipse that satisfies the given conditions:Ends of major axis (±3,0), ends of minor axis (0,±2)
Prove that the area of the triangle whose vertices are (t,t−2),(t+2,t+2), and (t+3,t) is independent of t˙