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TN 9th Tamil உள்ளத்தின் சீர் -கற்கண்டு (இலக்கணம்) - தொடர் இலக்கணம், ஆகுபெயர் Important Questions And Answers Study Material - QB365 Set A
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TN 9th Tamil உள்ளத்தின் சீர் -விரிவானம் (துணைப்பாடம்) - தாய்மைக்கு வறட்சி இல்லை! Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil உள்ளத்தின் சீர் -கவிதை பேழை (செய்யுள்) - மார்கழி பெருவிழா Important Questions And Answers Study Material - QB365 Set A
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TN 9th Tamil உயிருக்கு வேர்-இலக்கணம் - பகுபத உறுப்பிலக்கணம் Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil அமுதென்று பேர் - இலக்கணம்-எழுத்து -அளபெடை Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil அமுதென்று பேர்-துணைப்பாடம் - ஆறாம்திணை Important Questions And Answers Study Material - QB365 Set A
Published on: 28/07/2018
From the chapter Algebra, some of the important questions are covered in this question paper. The questions are covers from the book back and the previous year questions.
Download Tamil Nadu 9th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Maths Test1.
Add the following polynomials and find the degree of the resultant polynomial.
p(x) = 6x2-7x+2 q(x) = 6x3-7x+15
2.
Rewrite the following polynomial in standard form.
\({ y }^{ 2 }+\sqrt { 5 } { y }^{ 3 }-11-\frac { 7 }{ 3 } y+{ 9y }^{ 4 }\)
3.
Rewrite the following polynomial in standard form.
\(7{ x }^{ 3 }-\frac { 6 }{ 5 } { x }^{ 2 }+4x-1\)
4.
If p(x) = 4x2-3x+2x3+5 and q(x) = x2+2x+4. find p(x) - q(x)
5.
If p(x) = 4x2-3x+2x3+5 and q(x) = x2+2x+4 find p(x)+q(x)
6.
Find the degree of each term for the following polynomial and also find the degree of the polynomial
6ab8+5a2b3c2-7ab+4b2c+2
7.
Find the value of the polynomial f (y) = 6y - 3y2 + 3 at y = 1
8.
Check whether –3 and 3 are zeros of the polynomial x2 – 9
9.
Write the coefficient of x2 and x in each of the following polynomials \({ \pi x }^{ 2 }-x+2\)
10.
Write the coefficient of x2 and x in each of the following polynomials \(6-{ 2x }^{ 2 }+3x^{ 3 }-\sqrt { 7 } x\)
11.
Write the coefficient of x2 and x in each of the following polynomials \({ 4+\frac { 2 }{ 5 } x^{ 2 }-3x }\)
12.
Which of the following expressions are polynomials. If not give reason: \({ m }^{ 2 }-\sqrt [ 3 ]{ m } +7m-10\)
13.
The area of a rectangle with length \(2l^{ 2 }m\) and breadth \(3l^{ 2 }m\) is_______________________
\(6l^{ 3 }m^{ 3 }\)
\(l^{ 3 }m^{ 3 }\)
\(2l^{ 3 }m\)
\(4l^{ 3 }m^{ 3 }\)
14.
Which of the following is trinomial?
-7z
\({ z }^{ 2 }-{ 4y }^{ 2 }\)
\({ x }^{ 2 }y-{ xy }^{ 2 }+y\)
\(12a=9ab+5b-3\)
15.
Which of the following is a monomial?
\({ 4x }^{ 2 }\)
\(a+b\)
\(a+b+c\)
\(a+b+c+d\)
16.
Let the polynomials be
(A) –13q5 + 4q2 + 12q
(B) (x2 +4 )(x2 + 9)
(C) 4q8 – q6 + 2
(D) -\(\frac {5}{7}\)y12+y3+y5
Then ascending order of their degree is _______.
A,B,D,C
A,B,C,D
B,C,D,A
B,A,C,D
17.
Degree of the polynomial (y3–2)(y3 + 1) is _______.
9
2
3
6
18.
If x51 + 51 is divided by x + 1, then the remainder is _______.
0
1
49
50
19.
x3 – x2 is a …………..
monomial
binomial
trinomial
constant polynomial
20.
The type of the polynomial 4–3x3 is ________.
constant polynomial
linear polynomial
quadratic polynomial
cubic polynomial.
21.
The root of the polynomial equation 2x + 3 = 0 is ________.
\(\frac{1}{3}\)
\(-\frac{1}{3}\)
\(-\frac{3}{2}\)
\(-\frac{2}{3}\)
22.
If x3 + 6x2 + kx + 6 is exactly divisible by (x + 2), then k= ?
-6
-7
-8
11
23.
The base of a parallelogram is (5x+4). Find its height, if the area is 25x2–16.
24.
The area of a rectangle is x2 + 7x + 12. If its breadth is (x + 3), then find its length.
1.
p(x) = 6x2 - 7x + 2 ; q(x) = 6x3 - 7x + 15
p(x) + q(x) = 6x2 - 7x + 2 +6x3 - 7x + 15
= 6x3 + 6x2-7x + 2+ 15
= 6x3+6x2–14x+17
The degree of the polynomial is 3
2.
The standard form is \({ 9y }^{ 4 }+\sqrt { 5 } { y }^{ 3 }+{ y }^{ 2 }-\frac { 7 }{ 3 } y-11\) or \(-11-\frac { 7 }{ 3 } y+{ y }^{ 2 }+\sqrt { 5 } { y }^{ 3 }+{ 9y }^{ 4 }\)
3.
The given polynomial is in standard form or \(-1+4x-\frac { 6 }{ 5 } { x }^{ 2 }{ +7x }^{ 3 }\)
4.
| Given Polynomial | Standard form |
| p(x) = 4x2-3x+2x3+5 | 2x3+4x2-3x+5 |
| q(x) = x2+2x+4 | x2+2x+4 |
| p(x)-q(x) = 2x3+3x2-5x+1 | |
We see that p(x) – q(x) is also a polynomial. Hence the subtraction of any two polynomials is also a polynomial.
5.
| Given Polynomial | Standard form |
| p(x) = 4x2-3x+2x3+5 | 2x3+4x2-3x+5 |
| q(x) = x2+2x+4 | x2+2x+4 |
| p(x)+q(x) = 2x3+5x2-x+9 | |
We see that p(x) + q(x) is also a polynomial. Hence the sum of any two polynomials is also a polynomial
6.
Given polynomial is 6ab8+5a2b3c2-7ab+4b2c+2
Degree of each of the terms is given below.
6ab8 has degree (1+8) = 9
5a2b3c2 has degree (2+3+2) = 7
7ab has degree (1+1) = 2
4b2c has degree (2+1) = 3
The constant term 2 is always regarded as having degree Zero.
The degree of the polynomial 6ab8+ 5a2b3c2-7ab + 4b2c+2
= the largest exponent in the polynomial
= 9
7.
When y = 1
f(y) = 6y-3y2 + 3
f(1) = 6(1) - 3(1)2+ 3
= 6 - 3+ 3 = 6
8.
Let f(x) = x2 – 9
Then, f(–3) = (–3)2 – 9 = 9 – 9 = 0
f(+3) = 32 – 9 = 9 – 9 = 0
\(\therefore\) -3 and 3 are zeros of the polynomial x2 – 9
9.
Coefficient of x2 is \(\pi \) and Coefficient of x is -1
10.
Coefficient of x2 is -2 and Coefficient of x is -\(\sqrt 7\)
11.
Coefficient of x2 is \(\frac {2}{5}\) and Coefficient of x -3
12.
\({ m }^{ 2 }-\sqrt [ 3 ]{ m } +7m-10\) not a polynomial.
Since the exponent of m is not a whole number \(\left( \sqrt [ 3 ]{ m } ={ m }^{ \frac { 1 }{ 3 } } \right) \)
13.
(a)
\(6l^{ 3 }m^{ 3 }\)
14.
(c)
\({ x }^{ 2 }y-{ xy }^{ 2 }+y\)
15.
(a)
\({ 4x }^{ 2 }\)
16.
(d)
B,A,C,D
17.
(d)
6
18.
(d)
50
19.
(b)
binomial
20.
(d)
cubic polynomial.
21.
(c)
\(-\frac{3}{2}\)
22.
(d)
11
23.
Let the height of the parallelogram be " h "
Base of the parallelogram = 5x + 4
Area of a parallelogram = 25x2 - 16
Base \(\times\) Height = 25x2 - 16
(5x + 4) \(\times\) h = 25x2-16
h = \(\frac { { 25 }x^{ 2 }-16 }{ 5x+4 } \) (or)
h = \(\frac { \left( { 5x }^{ 2 } \right) -{ 4 }^{ 2 } }{ 5x+4 } =\frac { \left( 5x+4 \right) \left( 5x-4 \right) }{ 5x+4 } \)
Height of the parallelogram = 5x - 4
24.
Let the length of the reactangle be '' l ''
The Breadth of the reactangle = x + 3
Area of rectangle = Length \(\times\) breadth
x2 + 7x + 12 = l (x + 3) or
l = \(\frac { { x }^{ 2 }+7x+12 }{ x+3 } \)
= \(\frac { \left( x+4 \right) \left( x+3 \right) }{ x+3 } =x+4\)
Length of the rectangle = x + 4
9th Standard Syllabus & Materials
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Tamilnadu Stateboard 9th Standard Subjects
Tamilnadu Stateboard Standards
