There are two villages at `P (-5,-7)` and `Q (3,7)`. The gram pradhan wants to dig a well in such a way that its distance from both the villages remain the same.

Ms. Anita has to drive from Jhareda to Ganwari. She measures a distance of 3.5 cm between these villages on the map. What is the actual distance between the villages if the map scale is 1 cm = 10 km?

The map given below shows five different villages. Village M lies exactly halfway between the two pairs of villages A and B as well as P and Q. What is the distance between village A and village P. (Hint: check if DeltaPAM~= DeltaQBM )

Suppose the Government has decided to erect a new Electrical Power Transmission Substation to provide better power supply to two villages namely A and B . The substation has to be on the line l. The distances of villages A and B from the foot of the perpendiculars P and Q on the line l are B from the foot of the perpendiculars P and Q on the line l are 3 km and 5 km respectively and the distance between P and Q is 6 km. (i) What is the smallest length of cable required to connect the two villages. (ii) Find the equations of the cable lines that connect the power station to two villages.(Using the knowledge in conjunction with the principle of reflection allows for approach to solve this problem) .

The distance between the points P(–7, 2) and Q(5, –3) is

The distance between the point P(-1,1) and Q (5,-7) is _ _ _ _ _ _

A surevy conduceted on 1800 villages shows that 25% of the total villages have only adequate water supply. 15% of the total number have proper supply proper supply of electricity only. 7% of the total number of villages have only proper education facilities. 12% of the total number of villages have tele-communication services only. 16% of the total number of villages have proper health care services only. 6% of the total number of villages adequate water as well as supply of electricity . 8% of the total number of villages have adequate supplu of water, electricity as well as health care services. 5% of the total number of villages as well as health care services and 6% of the total number of villages have all the facilities . How many villages in all have adequate water supply ?

Find the distance between the points P(-1,1) and Q(5, -7)

Find the distance between the points P(-4, 7) and Q(2, -5).

Find the locus of a point P which moves such that its distance from the line y=sqrt(3)x-7 is the same as its distance from (2sqrt(3),-1)