If the points A(4,3)andB(x,5)are on the circle with centre O(2,3),find the value of x˙
Two points PandQ 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˙
Find the ratio in which the line segment joining the points (–3,10) and (6,–8) is divided by (–1,6).
A straight line passing through P(3,1) meets the coordinate axes at AandB . It is given that the distance of this straight line from the origin O is maximum. The area of triangle OAB is equal to 350squ˙nits (b) 325squ˙nits 320squ˙nits (d) 3100squ˙nits
The locus of the moving point whose coordinates are given by (et+e−t,et−e−t) where t is a parameter, is xy=1 (b) x+y=2 x2−y2=4 (d) x2−y2=2
The two opposite vertices of a square are (1, 2) and (3, 2). Find the coordinates of the other two vertices.
If )−4,0) and (1,−1) are two vertices of a triangle of area 4squ˙nits, then its third vertex lies on y=x (b) 5x+y+12=0 x+5y−4=0 (d) x+5y+12=0