CameraIcon

SearchIcon

MyQuestionIcon

1

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

Derivative from First Principle

If ax+by=a ...

Question

If $a x + b y = a^{2} - b^{2}$ and $b x + a y = 0$ find the value of $(x + y)$

Open in App

Solution

$b x + a y = 0 \Rightarrow y = \frac{- b x}{a}$
$a x + b y = a^{2} - b^{2} \Rightarrow a x - \frac{b^{2} x}{a} = a^{2} - b^{2}$
$\Rightarrow (a^{2} - b^{2}) x = a (a^{2} - b^{2}) \Rightarrow x = a$
$y = \frac{- b}{a} (a) \Rightarrow y = - b \Rightarrow x + y = a - b$

Suggest Corrections

thumbs-up

7

Similar questions

b x + a y = a^{2} + b^{2}

a x - b y = 0

, then the value of

(x - y)

Q. If ax+by=3, bx-ay=4 and

x^{2} + y^{2} = 1

then the value of

a^{2} + b^{2}

Q. Solve the following system of equations in

x

y

a x + b y = 1

b x + a y = \frac{(a + b)^{2}}{a^{2} + b^{2}} - 1

b x + a y = \frac{2 a b}{a^{2} + b^{2}}

Q. If the planes

x - b z = 0, c x - y + = 0

b x + a y - z = 0

, pass through a line, then find the value of

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

a, b, x, y

be real numbers such that

a^{2} + b^{2} = 81, x^{2} + y^{2} = 121

a x + b y = 99

,then find the set of all possible values of

a y - b x

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Derivative of Simple Functions

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Derivative from First Principle

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon