MyQuestionIcon

4

You visited us 4 times! Enjoying our articles? Unlock Full Access!

Area

The diagonals...

Question

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

A

rectangle

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

square

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

cyclic quadrilateral

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

rhombus

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D rhombus
$\begin{matrix} S l o p e o f l i n e x + 3 y = 4 m_{1} = \frac{1}{3} s l o p e o f l i n e 6 x - 2 y = 7 m_{2} = \frac{6}{- 2} = - 3 m_{1} \times m_{2} = - 1 H e n c e, b o t h d i a g o n a l a r e p e r p e n d i c u l a r t o e a c h o t h e r . F u r t h e r, i n R h o m b u s a r e p e r p e n d i c u l a r t o e a c h o t h e r . \end{matrix}$
Hence,
option $D$ is correct answer.

Suggest Corrections

thumbs-up

0

Similar questions

Q. The diagnols of a parallelogram

P Q R S

are along the line

x + 3 y = 4

6 x - 2 y = 7

P Q R S

A B C D

be parallelogram whose equations for the diagonals

A C

B D

x + 2 y = 3

2 x + y = 3

, respectively. If length of diagonal

A C = 4

units and area of parallologram

A B C D = 8

sq. units then the length of other diagonal

B D

A B C D

is inscribed in a circle with a diameter lying along the line

3 y = x + 10

A

B

(- 6, 7)

(4, 7)

respectively then

A B C D

be a parallelogram and

\to A C, \to B D

are its diagonals Then,

\to A C - \to B D

Q. If the diagonals of a parallelogram ABCD are equal then ∠ABC = ___________.

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Area

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon