MyQuestionIcon

1

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

Algebraic Identities

If a + b = 25...

Question

If $a + b = 25$ and $a^{2} + b^{2} = 225$ , then find ab.

A

214

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

B

204

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

C

200

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

D

180

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

Open in App

Solution

The correct option is C 200
Given,
$a + b = 25$
$a^{2} + b^{2} = 225$
$a b = ?$
We know that, $(a + b)^{2} = a^{2} + b^{2} + 2 a b$
$25^{2} = 225 + 2 a b$
$\Rightarrow 2 a b = 625 - 225$
$\Rightarrow 2 a b = 400$
$\Rightarrow a b = 200$

Suggest Corrections

thumbs-up

1

Similar questions

a + b = 25

a^{2} + b^{2} = 225

, then find ab.

a^{2} + b^{2} = 41

a b = 4

a + b

.

a^{2} + b^{2} = 41

a b = 4

a - b

.

a + b + c = 15, a b + b c + c a = 25

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

If a + b = 10 and ab = 16, find the value of $a^{2} - a b + b^{2} a n d a^{2} + a b + b^{2}$ .

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 VIII Mathematics

Join BYJU'S Learning Program

CrossIcon