For the function f[x) = (cosx) - x+ 1, x € R, between the following two statements

For the function f[x) = (cosx) -* + 1, x € R, between the
following two statements
(S1) f(x) = 0 for only one value of x is [0, *].


(S2) f(x) is decreasing in
and increasing in
(a) Both (S1) and (S2) are correct
(b) Only(S1) is correct
(c) Both (S1) and (S2) are incorrect
(d) Only (S2) is correct










NCERT CLASS 11 MATHS SOLUTIONS
NCERT CLASS 12 MATHS SOLUTIONS


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CLASS 11

1. SETS :

   • SETS ( NEW )  

2. RELATIONS AND FUNCTIONS :

   • RELATIONS AND FUNCTIONS ( NEW )  

3. TRIGONOMETRY :

   • TRIGONOMETRY ( NEW )  

4. PRINCIPAL OF MATHEMATICAL INDUCTION :

   • PRINCIPLE OF MATHEMATICAL INDUCTION  

5. COMPLEX NUMBERS

   • COMPLEX NUMBERS AND QUADRATIC EQUATIONS  

6. LINEAR INEQUALITIES

   • LINEAR INEQUALITIES  

7. PERMUTATIONS AND COMBINATIONS :

   • PERMUTATIONS & COMBINATIONS (NEW)  

8. BINOMIAL THEOREM

   • BINOMIAL THEOREM  

9. SEQUENCE AND SERIES

   • SEQUENCE AND SERIES  

10. STRAIGHT LINES

   • STRAIGHT LINES ( NEW )  

11. CONIC SECTION

   • CONIC SECTION ( NEW )  

12. 3D GEOMETRY

   • 3D GEOMETRY  

13. LIMITS AND DERIVATIVES

   • LIMITS  

14. MATHEMATICAL REASONING

   • MATHEMATICAL REASONING  

15. STATISTICS

   • STATISTICS  

16. PROBABILITY

   • PROBABILITY  


CLASS 12


1. RELATIONS AND FUNCTIONS

   • CARTESIAN PRODUCT OF SETS ( DEFINITIO...  


2. INVERSE TRIGONOMETRIC FUNCTIONS

   • LEARN DEFINITION OF INVERSE SINE FUNC...  


3. MATRICES

   • WHAT IS MATRIX (DEFINITION) - ORDER O...  


4. DETERMINANTS

   • DETERMINANTS || DEFINITION OF DETERMI...  


5. CONTINUITY AND DIFFERENTIABILITY

   • CONTINUITY & DIFFERENTIABILITY  


6. APPLICATIONS OF DERIVATIVES

   • WHAT IS RATE MEASURE || APPLICATIONS ...  


7. INTEGRATION

   • INTEGRATION (NEW)  


8. APPLICATIONS OF INTEGRATION

   • APPLICATIONS OF INTEGRATION || EX 8.1...  


9. DIFFERENTIAL EQUATIONS

   • HOW TO FIND ORDER AND DEGREE OF A DIF...  


10. VECTOR ALGEBRA

   • VECTOR ALGEBRA  



11. THREE DIMENSIONAL GEOMETRY

   • 3D GEOMETRY  


12. LINEAR PROGRAMMING

   • LINEAR PROGRAMMING PROBLMES (LPP)  


13. PROBABILITY

   • PROBABILITY ( CLASS 12 )