﻿ Let the opposite angular points of a square be (3, 4) and (1, –1). Find the coordinates of the remaining angular points : Kaysons Education

Let The Opposite Angular Points Of A Square Be (3, 4) And (1, –1). Find The Coordinates Of The Remaining Angular Points

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Question

Solution

Correct option is

Let A(3, 4) and C(1, –1) be the given angular points of a squareABCD and let B(xy) be the unknown vertex. Then

AB = BC

Also in âˆ†ABC

Substituting the value of x from (i) into (ii), we get

Hence the required vertices of the square are

.

SIMILAR QUESTIONS

Q1

Find the cartesian co-ordinates of the points whose polar coordinates are

Q2

Find the cartesian co-ordinates of the points whose polar coordinates are

Q3

Find the polar coordinates of the points whose cartesian coordinates are (–2, 2)

Q4

Find the polar coordinates of the points whose cartesian coordinates are (–3, 4)

Q5

Transform the equation  into cartesian form.

Q6

Transform the equation  into polar form.

Q7

Find the distance between the points

where a > 0.

Q8

An equilateral triangle has one vertex at the point (0, 0) and another at . Find the coordinates of the third vertyex.

Q9

Find the circumcentre of the triangle whose vertices are (–2, –3), (–1, 0) and (7, –6). Also find the radius of the circumcircle.

Q10

Find the coordinates of the point which divides the line segment joining the points (5, –2) and (9, 6) in the ratio 3 : 1.