You visited us 3 times! Enjoying our articles? Unlock Full Access!

Definition of Function

For what valu...

Question

For what value of $a$ , the expression $2 x^{2} + 7 x y + a y^{2}$ can resolved into product of two linear factors ?

0

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

1

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

2

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

5

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

Open in App

Solution

The correct options are
C $0$
D $5$
$2 x^{2} + 7 x y + a y^{2}$
for $a = 0$
$2 x^{2} + 7 x y + 0 y^{2}$
$2 x^{2} + 7 x y$
$x (2 x + 7 y)$
for $a = 5$
$2 x^{2} + 7 x y + 5 y^{2}$
$= 2 x^{2} + 2 x y + 5 x y + 5 y$
$(2 x + 5 y) (x + y)$

Suggest Corrections

Similar questions

c

2 x^{2} - 3 x y + c y^{2} + 5 x + 2

2 x^{2} + 7 x y + 3 y^{2} + 8 x + 14 y + λ = 0

2

λ

5 x^{2} + 9 x y + c y^{2}

c

6 x^{2} + 2 y^{2} + a x y - 5 x - 3 y + 1

a

m^{2}

2 x^{2} + m x y + 3 y^{2} - 5 y - 2

Join BYJU'S Learning Program