Examination Paper

Jawahar Navodaya Vidyalaya, Pandoh

Class –11^th          Subject – Maths

Unit Test - II

Time Allowed: - 1.30 Hrs                                                                   MM – 40

1.     If tanx = tany , then what is the relation between x & y.                                    1

2.     Find the value of i¹⁰¹ +i¹⁰² +i¹⁰³ +i¹⁰⁴ .^.                                                                       1

3.     If C(n,5) = C(n,6) then find C(n,2).                                                                    1

4.     Solve ( 5 – 2x)/3 ≤ x/6 – 5                                                                                  1

5.     Solve for x, sin2x – sin4x  +sin6x =0.                                                                4

6.     Prove that 3²ⁿ⁺² – 8n -9 is divisible by 8.                                                          4

7.     Find square root of 5 +12i .                                                                                4

8.     Find the value of x⁴ + 9x³ + 35x² – x +4, when x=-5 +2√(-4)                           4

9.     In how many ways can 5 girls and 3 boys be seated in a row so that no two boys are sit together.                                                                                                            4

10.                        Find the value of sin18 and cos 18.                                                         4

11.                        Solve graphically the system of inequation:

                   x +2y ≤10 ;  x + y ≥ 1 ; x – y ≤ 0 ; x≥0 ; y≥ 0                              6

11.     In how many ways can the letter of the word PERMUTATIONS  can be arranged if :  (a) vowels are always occur together

                       (b) there are always 4 letter between P and S                      

                       OR

              State and prove sine formula.                                                                 6https://www.blogger.com/rearrange?blogID=8457654533876805060&action=editWidget&sectionId=footer-1&widgetType=null&widgetId=HTML1