Home
Class 12
MATHS
The numbers a,b,c are in A.P. and a+b+c=...

The numbers `a,b,c` are in `A.P.` and `a+b+c=60`. The numbers `(a-2)`, `b`, `(c+3)` are in `G.P.` Then which of the following is not the possible value of `a^(2)+b^(2)+c^(2)` ?

A

`1208`

B

`1218`

C

`1298`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`(b)` `a+b+c=60` and `2b=a+c` ,brgt `:.b=20` ,brgt `impliesc=40-a`
`:.a-20`, `20`, `43-a` are in `G.P.`
`implies(a-2)(43-a)=400`
`impliesa=27` or `18`
If `a=27`, then `b=20`, `c=13`
If `a=18`, then `b=20`, `c=22`
Promotional Banner

Topper's Solved these Questions

  • PROGRESSION AND SERIES

    CENGAGE|Exercise Comprehension|7 Videos

  • PROGRESSION AND SERIES

    CENGAGE|Exercise Multiple Correct Answer|4 Videos

  • PROBABILITY II

    CENGAGE|Exercise JEE Advanced Previous Year|25 Videos

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise JEE Advanced Previous Year|11 Videos

Similar Questions

Explore conceptually related problems

If three positive real numbers a, b, c are in A.P and abc = 4 , then the minimum possible value of b is

Three numbers a, b and c will be in A.P. if and only if ____.

Three non zero numbers a, b, c are in A.P. Increasing a by 1 or increasing c by 2, the number become in G.P then b equals

If 1/a,1/b,1/c are in A.P and a,b -2c, are in G.P where a,b,c are non-zero then

If a,b, and c are in G.P then a+b,2b and b+ c are in

If a ,b ,c are in A.P., then prove that the following are also in A.P. a^2(b+c),b^2(c+a),c^2(a+b)

If a , b, c, … are in G.P. then 2a,2b,2c,… are in ….

If a, b, c are in A.P. then show that 3^(a), 3^(b), 3^(c) are in G.P.

If a/(b + c), b/(c + a), c/(a + b) are in A.P., then

Let a, b, c be district real numbers. If a, b, c are in G.P and a + b + C = bx , the x in