Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :

The figure formed by the four points i+j-k, 2i+3j, 5j-2k and k-j is?

1) trapezium

2) rectangle

3) parallelogram

4) None of these

Answer: 4) None of these

Solution: Given, four points, say PQRS such as i+j-k, 2i+3j, 5j-2k and k-j, respectively.

PQ = i+2j+k

|PQ| = √(12+22+12) = √6

QR = -2i+2j-2k

|QR| = √(22+22+22) = √12

RS = -6j+3k

|RS| = √(62+32) = √45

SP = i+2j-2k

|SP| = √(12+22+22) = √9 = 3

As we can see here, the magnitude of sides of the shape does not satisfy the condition of any of the quadrilaterals: trapezium, rectangle or parallelogram.

Therefore, the figure does not show any of the shape.

Was this answer helpful?

 
   

0 (0)

(0)
(0)

Choose An Option That Best Describes Your Problem

Thank you. Your Feedback will Help us Serve you better.

Leave a Comment

Your Mobile number and Email id will not be published. Required fields are marked *

*

*

Ask
Question