MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Algebraic Identities

If a+b+c=5 an...

Question

If $a + b + c = 5$ and $a b + b c + c a = 4$ ,then the value of $a^{2} + b^{2} + c^{2}$ is ______.

A

25

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

18

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

17

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

9

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 17
$a^{2} + b^{2} + c^{2} = (a + b + c)^{2} - 2 (a b + b c + c a)$
$a^{2} + b^{2} + c^{2} = (5)^{2} - 2 (4) = 25 - 8 = 17$

Suggest Corrections

thumbs-up

16

Similar questions

a - b + c = 5

c a - a b - b c = 7,

a^{2} + b^{2} + c^{2}

Q. If a+b+c=0 what is the value of

\frac{a^{2} + b^{2} + a b}{b^{2} + c^{2} + b c} + \frac{c^{2} + c a + a^{2}}{b^{2} + c^{2} + b c}

Q. If a² + b² + c² + ab + bc + ca = 89 and (a + b) : (b + c) : (c + a) = 12 : 5 : 3, where a, b and c are real numbers, then (a² + b² + c² – ab – bc – ca) equals

यदि a² + b² + c² + ab + bc + ca = 89 तथा (a + b) : (b + c) : (c + a) = 12 : 5 : 3, जहाँ a, b व c वास्तविक संख्याएँ हैं, तब (a² + b² + c² – ab – bc – ca) बराबर है

Q. If a² + b² + c² = 24 and ab + bc + ca = – 4, then a + b + c = ________.

a + b + c = 0

, then the value of

- (\frac{a^{2} + b^{2} + c^{2}}{b c + c a + a b})

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Algebraic Identities

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Algebraic Identities

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon