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MODEL PAPER - 3
1
CONTINUOUS & COMPREHENSIVE EVALUATION
SUMMATIVE ASSESSMENT
MODEL PAPER - 3
MATHEMATICS - PAPER - I
X CLASS
Max Marks : 40]
[Time : 2 : 45 hrs
SECTION - I
Note : 1.
2.
7×1=7M
Answer all the following questions.
Each question carries one mark
.
d
1.
If log2512 = log22x then find the value of x?
2.
If the slope of the line joining the two points A =(–4, 5), B(6, x) is –1 then find the value of x.
3.
If  are two roots of ax2 + bx + c = 0 then find    ?
4.
B = {y : y + 5 = 5} is not a null set, Why?
5.
In an A.P. an = 6n + 2 then find the common difference.
6.
Define monic quadratic equation and give one example.
7.
The difference of a two digit number and the number formed by interchanging the digits is 63. Write this
information in algebraic equation.
Note : 1.
2.
8.
a
b
a
r
e
d
y
H
1
,
B
E
C
D
1
SECTION - II
6 × 2 = 12 M
Answer the following questions.
Each question carries two mark
If the sets A ={Positive even numbers less than 10}
B = {Positive odd numbers less than10} then draw the venn diagrams of A – B, B – A.
1
and find a2, a3.
2
9.
In an A.P. a1 = 5, a4 = a
10.
The following equations represents parallels lines or not. Explain and also find the solution set.
x + 2y + 1 = 0 : 2x + 4y – 3 = 0
 11 3 
,  divides the line segment joining the points A(5, 3) and B(–2, 3)
 5 5
11.
Fin the ratio that the point C 
12.
One of the zero of the polynomial is additive inverse of the other if the polynomial f(x) = 14x2 – 42k2 x
– 9 then find the value of ‘k’
13.
The product of two consecutive positive integers is 306. By using this information construct a quadratic
equation.
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MATHEMATICS - PAPER - I
2
SECTION - III
Note : 1.
2.
14.
4 × 4 = 16 M
Internal choice is given in each question.
Each question carries four mark
(a) Prove that 8 + 2 5 is an irrational number
(OR)
xy
xy
(b) Solve xy  3 , xy  9
15.
(a) Find the remaining two zeroes of the polynomial 3x4 + 6x3 – 2x2 – 10x –5 if the two zeroes are
5
5
and 
3
3
(OR)
a
b
a
r
e
d
y
H
.
d
(b) Show that the points (–7, –3) (5, 10) (15, 18) and (3, 5) are the vertices of parallelogram.
16.
2
(a) Draw the graph of y = 6 – x – x and find the zeros.
(OR)
(b) Solve the following system of equations graphically x – 2y = 0, 3x + 4y = 20
17.
(a) Find the 12th term of a G.P. if 8th term is 192 and common ratio is 2.
,
B
E
C
D
(b) If A = {x: 0  x  5}
(OR)
B = {x: 2  x  4}
C = {x : 1  x  5}
D = {x: 5  x  7} then
find (i) A  B (ii) B  C (iii) A – B (iv) C – D
Note : 1.
2.
18.
Each question carries
2
(b) only 2
(c) 2 or 5
2
=5M
(b) A  B
(c) B  A
(b) 2
(c) 25
(c) – 4
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)
(
)
(
)
(
)
(d) A  B
(d) 1/2
If the product of zeroes x2 – px – q = 0 is 8 then the value of 9
(b) 4
(
(d) any prime
If zeroes of f(x) = 5x2 – 10x + 5 are p, q then p2 + q2 = ________
(a) 8
1
mark.
If A = {2, 3, 4, 5, 6, 7} B = {2, 3, 4} then
(a) 4
21.
1
The prime factor of the denominator of a rational number which is a non-recurring
(a) B  A
20.
10 ×
Choose the correct answer.
(a) only 5
19.
SECTION - IV
(d) – 8
MODEL PAPER - 3
22.
In an G.P. nth term = 3(0.5)n–1 then r =
(a) 0.5
23.
(b) 3
)
(
)
(d) 3.5
(d) 1/2
(b) (–1, 4)
(c) (–3, 4)
(d) None
Nature of the roots of x2 – 4 = 0
(b) Real and distinct
(c) Imaginary
(b) One solution
G.C.D of 8, x is 8 then x =
(a) 64
(b) 8
,
B
E
C
D
(c) Two solutions
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)
(
)
.
d
(
)
(d) None of these
a
b
a
r
e
d
y
H
(c) 1
(
(d) None
The number of solutions of the equations x – 4y = 8, 2x – 8y = 8
(a) No solution
27.
(
The co-ordinates of the point P dividing the line segment joining the points (–1, 7) and (4, –3) in the ratio
2:3
(
)
(a) Real and eqal
26.
(c) 1 / 2
(b) 1 / 4
(a) (1, 3)
25.
(c) 1.5
If logd d  x then the value of x
(a) 1/4
24.
3
(d) 16