While reviving my blog I wanted a way to embed my presentations, by default the SlideShare embed code uses a fixed width and height.

1. EXAMINATIONS 2021
MATHEMATICS IX
Total Time: 2 hours Total Marks: 75
SECTION “A” (COMPULSORY)
MULTIPLE CHOICE QUESTIONS (M.C.QS)
NOTE:
i) Attempt all the questions.
ii) Write only the answer against the proper number of the question and its part
according to the question paper.
iii) Each question carries 2 Marks.
Q1.Choose the correct answer from the options given below for each question.
(Marks: 36)
1) Every recurring decimal represents ________________
a) a natural number
b) a rational number
c) an irrational number
d) a whole number
2) √35is ________________
a) a prime number
b) an integer
c) a whole number
d) an irrational number
3) what is the number of elements of the power set of {ø}
a) 0
b) 1
c) 2
d) 3

2. 4) A matrix in which the number of rows is not equal to the number of columns is called a
_________
a) Diagonal matrix
b) Rectangular matrix
c) Square matrix
d) Scalar matrix
5) 3 is the characteristics in the logarithm of the number
a) 879.2
b) 87.92
c) 8792
d) 8.792
6) If |A| = 0, then the matrix is called:
a) Singular
b) Non-singular
c) Scalar
d) Unit
e)
7) The natural algorithm has the base ________________.
a) Π
b) e
c) 10
d) 0
8) If 𝑥3
− 𝑥2
+ 5𝑥 + 4 is divided by 𝑥 − 2, then the reminder is
a) 0
b) 2
c) 18
d) 14
9) Roots of the equation 𝑥2
+ 7𝑥 + 12 = 0 are
a) {3, −4}
b) {−3,4}
c) { 3 ,4}
d) {−3, −4}

3. 10) The additive inverse of 0 is:
a) 1
b) -1
c) 0
d) None
11)
1
5+2√6
= ________________.
a) 5− 2√6
b) 5+ 2√6
c) −5 − 2√6
d) −5 + 2√6
12) 𝑥4
+ 64 can be make a perfect square by adding :
a) 4𝑥2
b) 8𝑥2
c) 2𝑥2
d) 16𝑥2
13) A−B =________________.
a) A ∪ B′
b) A′ ∪ B
c) A ∩ B′
d) A′ ∩ B
14) The sum of Complementary angles are equal to ________________.
a) 90°
b) 180°
c) 270°
d) None

4. 15) The degree of polynomial 8𝑥2
𝑦3
+ 23𝑥2
𝑦5
− 8𝑥2
𝑦7
is :
a) 5
b) 7
c) 8
d) 9
16) The characteristic of 6.02 x 1023 is:
a) 0
b) 1
c) 2
d) none
17) If 𝑥3
+ 4𝑥2
− 7𝑥 + 3 is divided by 𝑥 − 1 then remainder is ________________.
a) 0
b) 1
c) 2
d) -1
18) 𝑎 − 𝑏 − {−(𝑎 + 𝑏)} = ________________.
a) 2a
b) 2b
c) -2a
d) -2b

5. SECTION “B”
(SHORT ANSWER QUESTION)
(Marks: 25)
Note: Attempt any five (05) questions from this section. All questions carry equal
marks.
Q2. If U={1,2,3,4,5,6,7,8,9,10} , A={1,2,3,4} and B={2,4,6,8} then show that:
(i) AΔB = (A∪B) – (A∩B) (ii) (A∪B)’ = A’∩B’
Q3. If 𝑦 = √5 − 2 , find the values of 𝑦 +
1
𝑦
, 𝑦 −
1
𝑦
𝑎𝑛𝑑 𝑦2
−
1
𝑦2
Q4. For what value of k, the expression 2𝑎4
+ 3𝑎3
− 4𝑎2
+ 14𝑎 + 𝑘 is exactly divisible by
𝑎2
− 2𝑎 + 3?
Q5. Find the value of
√431 .5×(1.2)2
√36.98
3 with the help of logarithms.
Q6. Simplify √
(216)
2
3×(25)
1
2
(
1
25
)
−
3
2
Q7. What should be added to 𝑥4
+ 4𝑥3
+ 10𝑥2
+ 14𝑥 7 , so that it may be a perfect square?
Q8. Find HCF by factor method

6. (i) 𝑥3
− 𝑦3
, 𝑥4
− 𝑦4
(ii) 2𝑥3
-54 , 2𝑥4
+ 18𝑥2
+ 162
Q9 Solve if possible by using Cramer’s rule
2𝑥 − 3𝑦 = −7
3𝑥 + 2𝑦 = −4
Q10. Simplify the following
(i) [(2)3]2
(ii) (
3𝑎3
𝑏2
𝑐6
𝑥𝑦𝑧
)
−5
(iii) 8
1
3 × 36
1
2
SECTION “C”
(DESCRIPTIVE ANSWER QUESTIONS)
(Marks: 14)
Note: Attempt any two (02) questions from this section. All questions carry equal
marks.
Q11. Find the second polynomial when First polynomial is 𝑥2
− 5𝑥 + 6, H.C.F and L.C.M
are (𝑥 − 3) and 𝑥3
− 9𝑥2
+ 26𝑥 − 24 respectively.
Q12. If two lines intersect, the vertically opposite angles so formed are congruent.
Q13. If a transversal intersects two coplanar lines such that the pair of alternate angles are
congruent, then the lines are parallel.
Q14. Find the factors of the following:
i. 𝑚2𝑛
𝑡2𝑛
+ 8𝑚𝑛
𝑡𝑛
𝑧𝑛
+ 16𝑧2𝑛
ii. 2(𝑠 − 𝑡)2
+ (𝑠 − 𝑡) − 1
iii. 36𝑥2
+ 154𝑥 − 36
___________________________