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**AS PER NEW SYLLABUS PATTERN**

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**Q1. Attempt any five of the following
sub – questions: (5)**

i.
Find the first four terms of the
sequence whose ‘n

^{th}’ term is 3n + 1. [Ans]
ii.
If one root of the quadratic equation

*x*, then find the value of k. [Ans]^{2 }- 11x + k = 0 is 9
iii.
What is sample space [Ans]

iv.
Mohan has a hobby of solving problems
everyday. He solved 2, 4, 3, 2, 4, 5, 1 problems in the last week. What is the
mean number of problems solved by Mohan per day? [Ans]

v.
A die is thrown. Find the sample space
'S' and n(S) [Ans]

vi.
Find the value of discriminant for the
following.

*x*^{2 }- 4 √ 3 x + 4 = 0 . [Ans]##
** Q2. Attempt any four of the following sub –
questions: (8)**

*i.*Determine whether the given values of '

*x*' are the roots of the given quadratic

*equation 6x*

^{2 }– x – 2 = 0, x = -1/2 , x = 2/3 , x = 3/ 2 (Ans)

ii.
Solve the simultaneous equations by
using Graphical method.

*x + 3y = 7; 2x + y + 1 = 0*. (Ans)
iii.
There are three boys and three girls.
An environment committee of two is to be formed. Write the sample space S, the
number of sample points n(S). Also Event A and n(A). Where A is the event that
the committee should contain atleast one girl. [Ans]

*iv.*Without actually solving the simultaneous equation given, examine whether it has unique solution, no solution or infinitely many solutions. (i)

*x + 3y + 4 = 0 ; 2x + 6y – 3 = 0. [Ans]*

v.
A coin is tossed. Find the probability
of the events. (i) Getting a head (ii) Getting a tail. [Ans]

vi.
Write the extended boundaries of 9 – 10 and 11 – 12. [Ans]

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**Q3. Attempt any three of the following
sub – questions (9) **

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**Q4. Attempt any TWO of the followng
sub – questions: (8)**

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**Q5. Attempt any TWO of the following
subquestions. (10) **

TRY THESE PAPERS TOO

please send as per new syallabus for 2013-2014

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