9th Standard Syllabus & Materials
9th Standard
TN 9роЖроорпН ро╡роХрпБрокрпНрокрпБ роХрогро┐родроорпН роЖропродрпНродрпКро▓рпИ ро╡роЯро┐ро╡ро┐ропро▓рпН,роорпБроХрпНроХрпЛрогро╡ро┐ропро▓рпН роорпБроХрпНроХро┐ропрооро╛рой 2,3,&5 роородро┐рокрпНрокрпЖрогрпН ро╡ро┐ройро╛роХрпНроХро│рпН ро╡ро┐роЯрпИроХро│рпБроЯройрпН TN 9th Maths Coordinate Geometry,Trigonometry Important 1 Mark Questions with Answers 2,3,&5 Marks Questions with Answers
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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
9th Standard
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NEW9th Standard
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NEW9th Standard
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NEW9th Standard
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Tamilnadu Stateboard 9th Standard Subjects
Tamilnadu Stateboard Standards
