A factory `D` is to be connected by a road with a straight railway line on which a town `A` is situated. The distance `D B` of the factory to the railway line is `5sqrt(3)k mdot` Length `A B` of the railway line is 20km. Freight charges on the road are twice the charges on the railway. The point `P(A P

The point P(a,b) lies on the straight line 3x+2y=13 and the point Q(b,a) lies on the straight line 4x-y=-5 , then the equation of the line PQ is

A point P(h, k) lies on the straight line x + y +1 = 0 and is at a distance 5 from the origin. If k is negative, then h is equal to

Study of following map and answer the questions given below: (i) Name the railway line shown in this map. (ii) In which country does this railway line lie? (iii) Name the station marked in the map as A and B.

Three point charges -Q, Q and Q are placed on a straight line with distance d between charges as shown. Find the magnitude of the electric field at the point P in the configuration shown which is at a distance a from middle charge Q in the system provided that a gt gt d . Take 2Qd=p .

The point P (a, b) lies on the straight line 3x – 2y = 13 and the point Q (b, a) lies on the straight line 4x – y = 5 then the equation of line PQ is

Given the family of lines a(3x+4y+6)+b(x+y+2)=0 The line of the family situated at the greatest distance from the point P(2,3) has equation

A particle of mass m carrying charge q is projected with velocity v from point P toward aninfinite line of charge from a distance a . Its speed reduces to zero momentarily at point Q , which is at a distance a//2 from the line of charge. If another particle with mass m and charge -q is projected with the same velosity v from P toward the line of charge, what will be its speed at Q ?