Question

SANGA
MATHS (PRACTICE PAPER)
STD : IX
PRACTICE PAPER-3(FA-I)
MATHEMATICS
CLASS - IX
SECTION-A
1. Every point on a number line represents:
a. A rational mimber
C. a unique real number
b. An irrational mumber
d. none
2. Ifx = 2 +3, then find the value of x +
1
3. If a + b + c = 9 and ab + bc + ca= 23, then a3 + b3 + c3 - 3abc =?
4. In how many points two distinct planes can intersect?
SECTION-B
5. (2-1 + 5-1 + 4-1)-2 =
6. Simplify after rationalizing the denominator. 5-3.76
7. Represent 7 on the number line.
8. Write the abscissa and ordinate of points: a (-6,4). b.(-3,0)
9. Define the terins:
a. Collinear points b. Concurrent lines.
10. Find the remainder when p(x) = 4x3 – 12x² + 14x – 3 is divided by
g(x) = 2x - 1
SECTION-C
11.fr = 3, then find the value of x3
12. Represent 8.4 on the number line.
13. Factorize yt- 7y + 6
14.Simplify and express in exponential form{(-4)-5-(-4)-3} x {(-4)2)-3
15. Find the decimal expansion of
16. Visualize 2.667 on the number line, using successive magnification
SECTION-D
17. factorize: a x4 + x2y2 + y4 b. x* + 64
18. Which of the following is true or false:
a. Every ray has a finite length.
b. Only one line may pass through a given point.
c. The ray AB is same as ray BA
d. Two distinct points always determine a line,
19.Plot the following points on the graph paper:
a. (-7,-4) b. (5,-6) c. (0,0) d. (0, -9)
20. Express cach of the following decimals in the form
a. 0.37 b.0.621 c.125.3 d.3.236
1
22
7
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Answer 1

Answer:

oh was it your question paper

Answer 2

Answer:

Step-by-step explanation:

Let (a - b) = a , (b - c) = b , (c - a) = c. Then  

a + b + c =  a - b + b - c + c - a = 0

We know, a³ + b³ + c³− 3abc = (a + b + c)(a² + b² + c² − ab − bc − ca)

∴ a³ + b³ + c³ =  3abc

⇒ (a - b)³ + (b - c)³ + (c - a)³ = 3(a - b) (b - c)(c - a)

Step-by-step explanation: