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CBSE Class 12 Pre Board 2020 : Mathematics - Prelim 1 (Delhi Public School (DPS), Jammu)

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DELHI PUBLIC SCHOOL JAMMU (SESSION 2019-20) Pre- Board- I ASSIGNMENT SUB: MATHEMATICS CLASS: XII + 1, } is both one-one and onto. 1, Q02. Show that the function f:R R defined by f(x)= 2 , for all x R, is neither one-one nor onto. +1 Q03. Let R be the relation defined on set A ={1,2,3,4,5,6,7} by R={ (a,b): both a and b are either odd or even}.Show that R is an equivalence relation. Further , show that all the elements of the subset {1,3,5,7} are related to each other and all the elements of the subset {2.4.6} are related to each other, but no element of the subset {1,3,5,7} is related to any element of the subset {2,4,6}. Q04. If f:R R is defined by f(x) = 10x+7.Find the function g: R R such that gof=fog=I R. Q05. let A be the set of all students of class XII in a school and R be the relation, having the same sex on A, and then prove that R is an equivalence relation. Q06. If y=sin 1 (6 1 9 2 ), then find . Q01. Show that f:N N given by { Q07. Differentiate w.r.t x: cos 1 [ Q08. Find : (4+ 2 + 4 4 2 2 4 Q09. Evaluate: Q10. Evaluate: 0 Q11. Q12. cos )(5 4 2 ) 1 1 + 3 +4 1 2 5 ]. . . . 3 2 Evaluate: 1| ( )| . 2 Evaluate: 0 1 1+ 1 Q13. Evaluate: 1+ dx. Q14. Evaluate: ( + )2 . Q15. Evaluate: Q16. Evaluate: ( 2 +1)( 2 +4) . Q17. If 0 3 2 = 8, find the value of a. Q18. Evaluate: Q19. Evaluate: 02 2 log( ) . 2 2 . 1 3 sin( + ) 2 Q20. Evaluate: 02 2 +4 2 . Q21. Show that the volume of the greatest cylinder that can be inscribed in a cone of height h and semi 4 vertical angle is 27 h3tan2 .

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