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Term 1 Five Mark Model Questions

10th Standard EM

Reg.No. :
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Maths

Time : 02:00:00 Hrs
Total Marks : 50
9 x 5 = 45
1. Let A = {3,4,7,8} and B = {1,7,10}. Which of the following sets are relations from A to B?
R1={(3,7), (4,7), (7,10), (8,1)}

2. Let A = {1,2,3,4} and B ={2,5,8,11,14} be two sets. Let f: A ⟶ B be a function given by f(x)=3x−1. Represent this function
(i) by arrow diagram
(ii) in a table form
(iii) as a set of ordered pairs
(iv) in a graphical form

3. The general term of a sequence is defined as
an = {$\begin{matrix} n\left( n+3 \right) ;n\epsilon N\quad is\quad odd \\ { n }^{ 2 }+1;n\epsilon N\quad is\quad even \end{matrix}$
Find the eleventh and eighteenth terms.

4. In an A.P. the sum of first n terms is $\frac { { 5n }^{ 2 } }{ 2 } +\frac { 3n }{ 2 }$. Find the 17th term

5. Find the GCD of 6x3 - 30x2 + 60x - 48 and 3x3 - 12x2 + 21x - 18.

6. Draw the graph of y = 2x2 and hence solve 2x2 - x - 6 = 0

7. Determine the nature of roots for the following quadratic equations
9x2 - 24x + 16 = 0

8. In $\triangle$ADC=, if DE||BC, AD=x, DB=x−2, and EC=x−1 then find the lengths of the sides AB and AC.

9. The line r passes through the points (–2, 2) and (5, 8) and the line θ passes through the points (–8, 7) and (–2, 0). Is the line r perpendicular to θ ?

10. 1 x 8 = 8
11. Find the equation of a line through the given pair of points
(2, 3) and (-7, -1)