Find the centre and radius of the circlesx2+y2−8x+10y−12=0
Draw a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle.
If a vertex of a triangle is (1,1) , and the middle points of two sides passing through it are −2,3) and (5,2), then find the centroid and the incenter of the triangle.
If TP and TQ are the two tangents to a circle with centre O so that ∠POQ=110∘, then ∠PTQ is equal to
A straight line is drawn through P(3,4) to meet the axis of x and y at AandB , respectively. If the rectangle OACB is completed, then find the locus of C˙
Two points P(a,0) and Q(-a,0) are given. R is a variable point on one side of the line PQ such that ∠RPQ−∠RQP is a positive constant 2α˙ Find the locus of the point R˙