If the point P(2,2) is equidistat from the points A(−2,k) and B(−2k,−3), find k. Also, find the length of AP.
. In the following figure, PQRS is square lawn with side PQ = 42 metres. Two circularflower beds are there on the sides PS and QR with centre at O, the intersections of itsdiagonals. Find the total area of the two flower beds (shaded parts).
Find the ratio in which the line segment joining the points (−3,10) and (6,−8) is divided by (−1,6).
To conduct Sports Day activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1 m each. 100 flower pots have been placed at a distance of 1m from each other along AD, as shown in Fig. Niharika runs 41 th the distance AD on the 2nd line and posts a green flag. Preet runs 51 th the distance AD on the eighth line and posts a red flag. What is the distance between both the flags? If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?
In each of the following find the value of k, for which the points are collinear.
If P(2a,4) is the mid-point of the line-segment joining the pointsA(−6,5)andB(−2,3), then the value of a is