Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9

Q.

The coplanar points (3, 2, 5), (2, 1, 1), (–1, 4, 1), (0, 5, 5) forms a

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya

a

rectangle

b

square

c

parallelogram

d

rhombus

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

The given points are A3,2,5,B2,1,1,C-1,4,1,D0,5,5

Observing the options, let us find the lengths of adjacent sides AB,AD and diagonalas AC,BD

Hence, AB=2-32+1-22+1-52=1+1+16=18

AD=0-32+5-22+5-52=9+9+0=18

Since the adjacent sides are equal, so that the figure formed by the given vertices are either square or Rhombus

Let us find the lengths of the diagonals

AC=-1-32+4-22+1-52=16+4+16=6

BD=0-22+5-12+5-12=16+4+16=6

Diagonals are also equal

Hence, the figure formed by the given four points is square. 

Watch 3-min video & get full concept clarity
score_test_img

courses

No courses found

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!

best study material, now at your finger tips!

  • promsvg

    live classes

  • promsvg

    progress tracking

  • promsvg

    24x7 mentored guidance

  • promsvg

    study plan analysis

download the app

gplay
mentor

Download the App

gplay
whats app icon
personalised 1:1 online tutoring
The coplanar points (3, 2, 5), (2, 1, 1), (–1, 4, 1), (0, 5, 5) forms a