COORDINATE GEOMETRY | LECTURE (07) | EXTERNAL DIVISION | KARAN SONI

Class 11 || Basic of Coordinate Geometry || IIT-JEE || Board Exams

A rectangular billiard table has vertices at P(0,0),Q(0,7),R(10 ,7), and S(10 ,0)dot A small billiard ball starts at M(3,4) , moves in a straight line to the top of the table, bounces to the right side of the table, and then comes to rest at N(7,1) . The y- coordinate of the point where it hits the right side is (a) 3.7 (b) 3.8 (c) 3.9 (d) 4

Let circles C_(1), C_(2) and C_(3) with centres O_(1), O_(2) and O_(3) respectively touch each other externally, where O_(1)=(-36, 7), O_(2)=(20, 7) and O_(3)=(0, -8) . The coordinates of the centre of a circle passing through the points of contact of circles C_(1), C_(2) and C_(2), C_(3) and C_(3),C_(1) are

Find the ratio in which the line segment joining A(1,"- "5)" "a n d" "B(-4," "5) is divided by the xaxis. Also find the coordinates of the point of division.

In what ratio is the line segment joining the points A(-2, -3) and B(3, 7) divided by the y-axis? Also, find the coordinates of the point of division.

Find the ratio in which the line segment joining the points A(3,\ -3) and B(-2,\ 7) is divided by x-axis. Also, find the coordinates of the point of division.

An electric dipole is fixed at the origin of coordinates. Its moment is directed in the positive x - direction. A positive charge is moved from the point (r,0) to the point (-r,0) by an external agent. In this process, the work done by the agent is

Find the coordinates of the point R which divides the join of P(0,0,0) and Q(4,-1,-2) in the ratio 1:2 externally and verify that P is the mid point of RQ.

Find the ratio in which the line segment having the end points A(-1, -3, 4) and B(4, 2, -1) is divided by the xz- plane. Also, find the coordinates of the point of division.