wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If g(x)=[sinx] and f(x)=1−x2, then which of the following is/are CORRECT ?
(where [.] denotes greatest integer function)

A
f(x)=g(x) has 1 solution.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
f(x)=g(x) has 2 solutions.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
The sum of the solution(s) of f(x)=g(x) is positive.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
The sum of the solution(s) of f(x)=g(x) is negative.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D The sum of the solution(s) of f(x)=g(x) is negative.
Drawing the graph of g(x)=[sinx] and f(x)=1x2


The number of solutions of the given equation is 2.
Solution occurs when [sinx]=0,1, then
1x2=0x=±11x2=1x=±2
From the graph, the solutions are x=2,1
Sum of solutions =12<0

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Solving QE using Quadratic Formula
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon