Q.

Four different integers form an increasing A.P. If one  of these numbers is equal to the sum of the squares of  the other three numbers, then the numbers are

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya

a

−2,−1,0,1

b

0,1,2,3

c

−1,0,1,2

d

None of these

answer is C.

(Unlock A.I Detailed Solution for FREE)

Detailed Solution

Let the numbers be a−d,a,a+d,a+2dwhere,a,d∈Z and d>0Given: (a−d)2+a2+(a+d)2=a+2d⇒ 2d2−2d+3a2−a=0∴ d=121±1+2a−6a2Since d is positive integer,∴1+2a−6a2>0⇒1−760∴ d=1. Hence, the numbers are −1,0,1,2.
Watch 3-min video & get full concept clarity
Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Online Course for IIT JEE
Best Online Course for NEET
Best Online Course for CBSE
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Online Course for IIT JEE
Best Online Course for NEET
Best Online Course for CBSE
whats app icon