A rectangle has two opposite vertices at...

A rectangle has two opposite vertices at the points `(1,2)` `a n d` `(5,5)`. If the other vertices lie on the line `x=3` , find the equations of the sides of the rectangle.

Topper's Solved these Questions

THE CIRCLE
RD SHARMA ENGLISH|Exercise All Questions|145 Videos
TRANSFORMATION FORMULAE
RD SHARMA ENGLISH|Exercise All Questions|145 Videos

Similar Questions

Explore conceptually related problems

A rectangle has two opposite vertices at the points (1, 2) and (5,5). It these vertices lie on the line x=3 , find the other vertices of the rectangle.

If two opposite vertices of a square are (1,2) and (5,8) find the coordinates of its other two vertices and the equations of its sides.

If two opposite vertices of square are (1,2) and (5,8), find the coordinates of its other two vertices and the equations of its sides.

If points (1, 1) and (-3,5) are vertices of a diagonal of a square, then the equations of its sides through (1, 1) are:

The points (1, 3) and (5, 1) are two opposite vertices of a rectangle. The other two vertices lie on the line the y=2x+c . Find c

The equation of one side of a rectangle is 3x-4y-10=0 and the coordinates of two of its vertices are (-2, 1) and (2, 4) . Find the area of the rectangle and the equation of that diagonal of the rectangle which passes through the point (2, 4) .

The area of a parallelogram is 12 square units. Two of its vertices are the points A (-1, 3) and B (-2, 4) . Find the other two vertices of the parallelogram, if the point of intersection of diagonals lies on x-axis on its positive side.

If the points A(3,\ 5)a n d\ B(1,\ 4) lie on the graph of the line a x+b y=7, find the values of a\ a n d\ b

Are the points (2,1) and (-3,5) on the same or opposite side of the line 3x - 2y + 1 = 0 ?

The two opposite vertices of a square are (1,-6)and (5,4). Find the coordinates of the other two vertices.

RD SHARMA ENGLISH-THE STRAIGHT LINES -All Questions

A line L is such that its segment between the straight lines 5x - y ...
Text Solution
|
Find the equations to the diagonals of the rectangle the equations of ...
Text Solution
|
A rectangle has two opposite vertices at the points (1,2) a n d (5,5)....
Text Solution
|
Find the coordinates of the vertices of a square inscribed in the tria...
Text Solution
|
If the intercept of a line between the coordinate axes is divided by ...
Text Solution
|
A straight line moves so that the sum of the reciprocals of its interc...
Text Solution
|
Find the equations of lines parallel to 3x-4y-5=0 at a unit distance f...
Text Solution
|
If the length of the perpendicular from the point (1,1) to the line a...
Text Solution
|
If t1 a n d t2 are roots of eth equation t^2+lambdat+1=0, where lamb...
Text Solution
|
Show that the locus of the mid-point of the segment intercepted betwee...
Text Solution
|
Find the equation of the line which passes through P(1,-7) and meets t...
Text Solution
|
The area of the triangle formed by the coordinates axes and a line is ...
Text Solution
|
Find the equations of the line which passes through the point (3,4) an...
Text Solution
|
For what values of aa n db the intercepts cut off n the coordinate axe...
Text Solution
|
Find the equation of the straight line which passes though (1,-2)a n d...
Text Solution
|
If the line (x/a)+(y/b)=1 moves in such a way that (1/(a^2))+(1/(b^2))...
Text Solution
|
If the sum of the distances of a moving point in a plane from the axes...
Text Solution
|
Find the equation of the straight lines each of which passes through ...
Text Solution
|
The equation of straight line which passes through the point (-4,3) su...
Text Solution
|
Prove that the length of perpendiculars from points 'P(m^2,2m) Q (mn ,...
Text Solution
|