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

Q.

Consider a set of points R in the space which is at a distance of 2 units from the line x1=y-1-1=z+22 between the planes x- y + 2z + 3 = 0 and x - y + 2z - 2 = 0.

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

The volume of the bounded figure by points R and the planes is 10/33π cube units.

b

The area of the curved surface formed by the set of points R is  20π/6sq.units.

c

The volume of the bounded figure by the set of points R and the planes is20π/6 cubic units.

d

The area of the curved surface formed by the set of points R is 10/3π sq. units.

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

Distance between the planes is h=5/6
Also the figure formed is a cylinder, whose radius is r = 2 units.
Hence, the volume of the cylinder is

π r 2h=π(2)2.56=20π6cubic units

Also the curved surface area is

2πrh=2π(2).56=20π6

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