LIST OF IMPORTANT PROBLEMS AND EXPECTED QUESTIONS

FOR LEARNERS AND SLOW LEARNERS OF CLASS XII MATHEMATICS

UNIT 1. RELATIONS AND FUNCTIONS & INVERSE TRIGONOMETRIC FUNCTIONS:[ 10 MARKS]

01 MARK

01. Find the principal value branch of the given function?02. Verify the given function satisfying transitive or reflexive or symmetric?03. Find the inverse element or identity element or the given binary operation satisfying

associative or distributive or commutative law or not?04. Verify * is a binary operation or not?05. Verify the given function is injective or surjective?06. Verifying the composition of functions like fog or gof or finding f or g if fog or gof is

given.

04 MARKS

01. Prove that problems on Inverse trig functions02. Solve for x in Inverse trig functions03. Prove that the given function is a bijective function ? 04. Finding inverse of the function and find the equivalence class05. Verify the given function is an equivalence relation or not?06. Using formula of tan-1 x + tan-1 y or tan-1x – tan-1 y and solve problems07. Reduce it into the simplest form08. Finding the values of the inverse trig functions09. All solved Examples and Miscellaneous problems.