Let AP and BQ be two vertical poles at points A and B respectively. If AP=16 m , BQ=22 `m and A B = 20 m , then find the distanace of a point `R on AB from the point A such that `RP^2+RQ^2 `is minimum.

ABCD is a parallelogram. If the points A , B and C are respectively : (0,0), (2,2),(1,3) Find the coordinates of the point D.

ABCD is a parallelogram. If the points A , B and C are respectively : (1,2), (5,4),(3,8) Find the coordinates of the point D.

ABCD is a trapezium in which AB || DC . M and N are the mid-points of AD and BC respectively. If AB = 12 cm, and MN = 14 cm, find CD.

ABCD is a parallelogram. If the points A , B and C are respectively : (-2,-1), (3,0),(0,-2) Find the coordinates of the point D.

Let vec a and vec b be the position vectors of the points (3,-5) and (m,4) respectively. Find m if the vectors vec a and vec b are collinear.

Two points A and B are 16 cm apart. A circle with radius 17 cm is drawn to pass through these points. Find the distance of AB from the centre of the circle.

ABCD is a parallelogram. If the points A , B and C are respectively : (2,3), (1,4),(1,-2) Find the coordinates of the point D.

Let P and Q be points on the line joining A(-2, 5) and B(3, 1) such that AP = PQ = QB. If mid-point of PQ is (a, b), then the value of (b)/(a) is

Point charges 4xx10^-6C and 2xx10^-6 C are placed at the vertices A and B of a right angled triangle ABC respectively. B is the right angle, AC = 2xx10^-2 m and BC = 10^-2 m. Find the magnitude and direction of the resultant electric intensity at C.