﻿  A1(x1, y1), A2(x2, y2), A3(x3, y3), …. are n points in a plane such that 1:- A1 A2 is at G1, G2, A3 is divided in the ratio 1 : 2 at G2, G3, A4 is divided in the ratio 1 : 3 at G3. The process is continued unit all n points are exhausted, then find the coordinates of the final point Gn : Kaysons Education

A1(x1, y1), A2(x2, y2), A3(x3, y3), …. Are n points In A Plane Such That 1:- A1 A2 is At G1, G2, A3 is Divided In The Ratio 1 : 2 At G2, G3, A4 is Divided In The Ratio 1 : 3 At G3. The Process Is Continued Unit All n points Are Exhausted, Then Find The Coordinates Of The Final Point Gn

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Question

Solution

Correct option is

G1 bisector A1 A2

G2 divides G1 A3 in the ratio 1 : 2

SIMILAR QUESTIONS

Q1

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Q2

Area of Δ formed by line x + y = 3 and  bisectors of pair of straight lines x2 – y2 +2y = 1is

Q3

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Q4

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Q5

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Q6

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Q7

The straight line passing through the point of intersection of the straight lines x – 3y + 1 = 0 and 2x + 5y – 9 = 0 and having infinite slope and at a distance 2 unit from the origin has the equation

Q8

shifting of origin (0, 0) to (h, k)

Rotation of axes through an angle θ.

1:- by rotating the axes through an angle θ the equation xy – y2 – 3+ 4 = 0 is transformed to the from which does not contain the term of xy then  ….

Q9

Axes are rotating through a +ive obtuse angle θ so that the transformed equation of the curve 3x2 – 6xy + 3y2 + 7– 3 = 0 is free from the term of xy then the coefficient of x2 in the transformed equation is…

Q10

If x1 = ay1 = b and xis form an A.P. with common different 2 andyis form an A.P. with common different 4, then find the coordinates ofG, the centroid.