The diagonals of a parallelogram PQRS ar...

The diagonals of a parallelogram PQRS are along the lines x+3y =4 and 6x-2y = 7, Then PQRS must be :

Rectangle

Square

Rhombus

Trapezium

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

STRAIGHT LINES
AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION C) (OBJECTIVE TYPE QUESTIONS) (MORE THAN ONE ANSWER)|14 Videos
STRAIGHT LINES
AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION D) (LINKED COMPREHENSION TYPE QUESTIONS)|12 Videos
STRAIGHT LINES
AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION A) (OBJECTIVE TYPE QUESTIONS) (ONLY ONE ANSWER)|50 Videos
STATISTICS
AAKASH INSTITUTE|Exercise Section-C Assertion-Reason|15 Videos
THREE DIMENSIONAL GEOMETRY
AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - J|10 Videos

Similar Questions

Explore conceptually related problems

the diagonals of the parallelogram PQRS are along the lines x+3y=4 and 6x-2y=7 then PQRS is must be:

The diagonals of a parallelogram ABCD are along are the lines x+3y=4 and 6x-2y=7. Then ABCD must be a

If the diagonals of a parallelogram ABCD are along the lines x+5y=7 and 10x-2y=9 , then ABCD must be a

The lines 2x+y=3 and 4x+2y= 6 are

Two sides of a parallelogram are along the lines 4x + 5y = 0 and 7x + 2y = 0. If the equation of one of the diagonals of the parallelogram is 11x + 7y = 9, then other diagonal passes through the point :

The two adjacent one of the diagonals of the parallelogram is along the line x-y+1=0 and 4x-3y-2=0 If one of the diagonals of the parallelogram is along the line y=(3x)/(2), then the other diagonal has

AAKASH INSTITUTE-STRAIGHT LINES-ASSIGNMENT (SECTION B) (OBJECTIVE TYPE QUESTIONS) (ONLY ONE ANSWER)

If P(1,2)Q(4,6),R(5,7), and S(a , b) are the vertices of a parallelogr...
Text Solution
|
Find the equation of the bisector of the obtuse angle between the line...
Text Solution
|
The diagonals of a parallelogram PQRS are along the lines x+3y =4 and ...
Text Solution
|
The points on x+y=4 that lie at a unit distance from the line 4x+3y-10...
Text Solution
|
The line 5x + 4y = 0 passes through the point of intersection of strai...
Text Solution
|
The equation of the base of an equilateral triangle is x+y=2 and its v...
Text Solution
|
A ray of light is sent along the line which passes through the point (...
Text Solution
|
Line a x+b y+p=0 makes angle pi/4 with cosalpha+ycosalpha+ysinalpha=p ...
Text Solution
|
Find the image of the point (-8,12) with respect to line mirror 4x+7y+...
Text Solution
|
in a triangle ABC, if A is (1, 2) and the equations of the medians thr...
Text Solution
|
The equation of straight line equally inclined to the axes and equidis...
Text Solution
|
A line passing through (0,0) and perpendicular to 2x+y+6=0,4x+2y-9=0 t...
Text Solution
|
The centroid of the triangle formed by the pair of straight lines 12x^...
Text Solution
|
If x^2-2p x y-y^2=0 and x^2-2q x y-y^2=0 bisect angles between each ot...
Text Solution
|
If a , ba n dc are in A P , then the straight line a x+b y+c=0 will al...
Text Solution
|
The straight line ax + by = 1 makes with the curve px^2 + 2axy + qy^2 ...
Text Solution
|
the lines L1 and L2 denoted by 3x^2 + 10xy +8y^2 +14x +22y + 15 =...
Text Solution
|
The equation of the lines through the origin and which are perpendicul...
Text Solution
|
A ray of light is sent along the line x-2y-3=0 on reaching the line 3x...
Text Solution
|
The mid-point of the line segment joirning (3, -1) and (1, 1) is shift...
Text Solution
|