One side of a rectangle lies along the l...

One side of a rectangle lies along the line 4x + 7y +5=0. Two of its vertices are (-3, 1) and (1, 1).Find the equations of the other three sides.

Topper's Solved these Questions

CONIC SECTIONS
MODERN PUBLICATION|Exercise EXERCISE|478 Videos
COMPLEX NUMBERS
MODERN PUBLICATION|Exercise EXERCISE|291 Videos
INFINITE SERIES
MODERN PUBLICATION|Exercise EXAMPLE|10 Videos

Similar Questions

Explore conceptually related problems

Equation of the base of an equilateral triangle is 3x + 4y = 9 and its vertex is at point (1,2) .Find the equations of the other sides and the length of each side of the triangle .

Two sides of a square lie on the lines x+y-1=0 and x+y+2 then its area is:

The mid-points of the sides of a triangle are (2,1), (-5,7), (-5, -5). Find the equations of the sides.

If the lines represented by 2x^2-5xy+2y^2=0 be the sides of a parallelogram and the line 5x+2y=1 be one of its diagonal. Find the equation of the other diagonal, and area of the parallelogram .

The extremities of the base of an isosceles triangle are the points (2a, 0) and (0, a). The equation of one of the sides is x = 2a. Find the equations of the other two sides and the area of the triangle.

The equations of two sides of a triangle are 3x-2y+6=0\ a n d\ 4x+5y-20\ a n d\ the orthocentre is (1,1). Find the equation of the third side.

The equation of the line passing through the centre of a rectangular hyperbola is x-y-1=0 . If one of its asymptotoes is 3x-4y-6=0 , the equation of the other asymptote is

Find the equations of the sides of the triangle whose vertices are (- 1, 8), (4, - 2) and (- 5,- 3).

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

Two sides of a rhombus are along the lines x-y+1=0 and 7x-y-5=0. If its diagonals intersect at (-1, -2), then which one of the following is a vertex of this rhombus?

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE

The vertices of a triangle are : P(x1,x1 tan theta1),Q (x2, x2tantheta...
Text Solution
|
The points (1, 3) and (5, 1) are the opposite vertices of a rectangle....
Text Solution
|
One side of a rectangle lies along the line 4x + 7y +5=0. Two of its v...
Text Solution
|
The consecutive sides of a parallelogram are 4x + 5y = 0 and 7x + 2y =...
Text Solution
|
One side of a square is inclined to the x-axis at an angle alpha and o...
Text Solution
|
On the portion of the line x + 3y - 3 = 0, which is intercepted betwee...
Text Solution
|
Find the direction in which a straight line must be drawn through the ...
Text Solution
|
The hypotenuse of a right triangle has its ends at the points (1, 3) a...
Text Solution
|
A ray of light passes through the point (1, 2) reflects on the x-axis ...
Text Solution
|
A person standing at the junction (crossing) of two straight paths rep...
Text Solution
|
Let (2, 1), (- 3, -2) and (a, b) form a triangle. Show that the collec...
Text Solution
|
Does the point (-2.5, 3.5) lie inside, outside or on the circle x^2 + ...
Text Solution
|
Prove that the centres of the three circles : x^2 + y^2 -4x-6y-14=0, x...
Text Solution
|
Prove that, through three given points which are not collinear, there ...
Text Solution
|
Find equations to the circles touching Y-axis at (0,3) and making inte...
Text Solution
|
Find the area of the equilateral triangle that can be inscribed in the...
Text Solution
|
Find the equation of the circle circumscribing the quadrilateral forme...
Text Solution
|
If lines 5x + 12y-10 = 0 and 5x- 12y - 40 =0 touch a circle C1 of diam...
Text Solution
|
If the distances from the origin to the centres of the three circles x...
Text Solution
|
Determine the equation of the circle whose diameter is the chord x + y...
Text Solution
|