‘-p’ and ‘q’ are the zeroes of the polynomial
$x^{2} - b x + c$ .
The zeroes of the polynomial $x^{2} - b x y + c y^{2}$ are

-py,qy

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

py,-qy

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

py,qy

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

None of these

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

Open in App

Solution

The correct option is A
-py,qy

‘-p’ and ‘q’ are the zeroes of the polynomial $x^{2} - b x + c$ .
$⟹ x^{2} - b x + c = (x + p) (x - q)$ .
$⟹ x^{2} - b x + c = x^{2} + p x - q x - p q$
$⟹ - b = p - q, and c = - p q$
$x^{2} - b x y + c y^{2} = x^{2} + (p - q) x y - p q y^{2}$
$= x^{2} + (p y - q y) x - (p y) (q y)$
$= (x + p y) (x - q y)$

Thus, the zeroes of the polynomial $x^{2} - b x y + c y^{2}$ are $- p y$ and $q y$ .

Suggest Corrections

Similar questions

If‘-p’ and ‘q’ are the zeroes of the polynomial
$x^{2} - b x + c$ , then the zeroes of the polynomial $x^{2} - b x y + c y^{2}$ are ________.

‘- p’ and ‘q’ are the zeroes of the polynomial $x^{2} - b x + c$ . The zeroes of the polynomial $x^{2} - b x y + c y^{2}$ are:

Find the zero of the polynomial x²-bxy + cy²where -b =p-q and c =-pq

‘-p’ and ‘q’ are the zeroes of equation $x^{2} - b x + c = 0$ . The zeroes of the equation $x^{2} - b x y + c y^{2}$ = 0 are

Join BYJU'S Learning Program