Class 10 Exam  >  Class 10 Questions  >  If p, q, r are in AP, then p3 + r3 - 8q3 is e... Start Learning for Free
If p, q, r are in AP, then p3 + r3 - 8q3 is equal to
  • a)
    4pqr
  • b)
    - 6pqr
  • c)
    2pqr
  • d)
    8pqr
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If p, q, r are in AP, then p3 + r3 - 8q3 is equal toa)4pqrb)- 6pqrc)2p...
∵ p, q, r are in AP.
∴ 2 q = p + r
⇒ p + r - 2 q = 0
View all questions of this test
Most Upvoted Answer
If p, q, r are in AP, then p3 + r3 - 8q3 is equal toa)4pqrb)- 6pqrc)2p...
Solution:

Since p, q and r in AP

=> q - p = r - q

=> 2q = p + r

Cubing both sides

=> 8q³ = p³  + r³  + 3pr(p + r)

p + r = 2q

=>  8q³ = p³  + r³  + 3pr(2q)

=> 8q³ = p³  + r³  + 6pqr

=> p³  + r³ - 8q³ = -6pqr

Hence option B is correct
Free Test
Community Answer
If p, q, r are in AP, then p3 + r3 - 8q3 is equal toa)4pqrb)- 6pqrc)2p...
Given,
p, q, r are in ap
so, q-p=r-q
      2q=p+r 
      p+r-2q = 0
we know that,
x^3+y^3+z^3 = 3xyz
so here x=p y=r and z=q
p^3+r^3-8q^3=3(p)(r)(-2q)
                      =-6pqr
  
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
Explore Courses for Class 10 exam

Top Courses for Class 10

If p, q, r are in AP, then p3 + r3 - 8q3 is equal toa)4pqrb)- 6pqrc)2pqrd)8pqrCorrect answer is option 'B'. Can you explain this answer?
Question Description
If p, q, r are in AP, then p3 + r3 - 8q3 is equal toa)4pqrb)- 6pqrc)2pqrd)8pqrCorrect answer is option 'B'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If p, q, r are in AP, then p3 + r3 - 8q3 is equal toa)4pqrb)- 6pqrc)2pqrd)8pqrCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If p, q, r are in AP, then p3 + r3 - 8q3 is equal toa)4pqrb)- 6pqrc)2pqrd)8pqrCorrect answer is option 'B'. Can you explain this answer?.
Solutions for If p, q, r are in AP, then p3 + r3 - 8q3 is equal toa)4pqrb)- 6pqrc)2pqrd)8pqrCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of If p, q, r are in AP, then p3 + r3 - 8q3 is equal toa)4pqrb)- 6pqrc)2pqrd)8pqrCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If p, q, r are in AP, then p3 + r3 - 8q3 is equal toa)4pqrb)- 6pqrc)2pqrd)8pqrCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for If p, q, r are in AP, then p3 + r3 - 8q3 is equal toa)4pqrb)- 6pqrc)2pqrd)8pqrCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of If p, q, r are in AP, then p3 + r3 - 8q3 is equal toa)4pqrb)- 6pqrc)2pqrd)8pqrCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If p, q, r are in AP, then p3 + r3 - 8q3 is equal toa)4pqrb)- 6pqrc)2pqrd)8pqrCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 10 tests.
Explore Courses for Class 10 exam

Top Courses for Class 10

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev