Home
Class 12
MATHS
Let a,b,c,d be real numbers such that |a...

Let a,b,c,d be real numbers such that |a-b|=2, |b-c|=3, |c-d|=4 Then the sum of all possible values of |a-d|=

A

9

B

18

C

24

D

30

Text Solution

Verified by Experts

The correct Answer is:
B
`|a-b|=2 rArr a-b= pm 2`
`|a-c|= 3 rArr b-c= pm 3`
`|c-d|=4 rArr c-d = pm 4`
Possible values of `a-d" are "pm 9, pm 5, pm 3, pm 1`
`|a-d| =9, 5, 3, 1`
Sum = 18.
Promotional Banner

Similar Questions

Explore conceptually related problems

If a,b,c and d are integers such that a+b+c+d=30, then the minimum possible value of (a-b)^(2)+(a+c)^(2)+(a+d)^(2) is

Let a,b,c,d,e, be real numbers such that a+b lt c+d , b+c lt d+e, c+d lt e+a, d+e lt a+b . Then

If a,b,a and d are natural numbers such that a^(5)=b^(6),c^(3)=d^(4), and d-a=61, then the smallest value of c-b is :

If a,b,c,d are distinct complex number and |a|=|b|=|c|=|d|=3,|a-b|=|b-c|=|c-d|=sqrt(3) then the value of |a-d| is equals to

If a,b,and c are nonzero rational numbers, then find the sum of all the possible values of (|a|)/(a)+(|b|)/(b)+(|c|)/(c)

Let a,b,c , d ar positive real number such that a/b ne c/d, then the roots of the equation: (a^(2) +b^(2)) x ^(2) +2x (ac+ bd) + (c^(2) +d^(2))=0 are :

Let a, b, c, d be distinct real numbers such that a, b are roots of x^2-5cx-6d=0 and c, d are roots of x^2-5ax-6b=0 . Then b+d is

Given a,b,c are in A.P.,b,c,d are in G.P and c,d,e are in H.P .If a=2 and e=18 , then the sum of all possible value of c is ________.

If a,b and c are non-zero rational numbers, then the sum of all the possible values of (|a|)/(a)+(|b|)/(b)+(|c|)/(c) is