CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Find the range of rational expression y=x2+34x71x2+2x7 if x is real


A

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

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

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

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

The correct option is C


y=x2+34x71x2+2x7 x2(y1)+x(2y34)+(717y)=0

Given that x is real

b24ac0(2y34)24(y1)(717y)04[y2+28934y+7y278y+71] 0y214y+450y(y9)5(y9)0(y5)(y9)0

for y5 & y 9y 5 and y 9Hence y ϵ(,5][9,)


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Range of Quadratic Equations
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon