General Mathematics - Solved Model Paper - For Class X (Arts / General Group) - 2022

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General Mathematics
Model Papers 2022 (New)
For Class X (Arts / General Group)

SOLUTION
SECTION "B"

Q.2 Divide x⁶ + 4x⁵ - 16x³ + x + 2x² + 3 -13x⁴ by x³ + 4x² + 1 + 2x

Q.5 if A = 2x³ - 4x² - 5, B = 4x³ - 9x - 8x² + 3 and C = - 6x² - 3x³ + 2 - 5x then find the value of A + B + C.
Solution:
Arrange in descending order
A = 2x³ - 4x² - 5
B = 4x³ - 8x² - 9x + 3
C = - 3x³ - 6x² - 5x + 2

Formula:

A + B + C

By Putting the values of A, B and C we get
= (2x³ - 4x² - 5) + (4x³ - 8x² - 9x + 3) + (- 3x³ - 6x² - 5x + 2)
= 2x³ - 4x² - 5 + 4x³ - 8x² - 9x + 3 - 3x³ - 6x² - 5x + 2
= 2x³ + 4x³ - 3x³ - 4x² - 8x² - 6x² - 9x - 5x - 5 + 3 -2
= 3x³ - 18² - 14x Ans.

Q.6 Simplify by using formula (1005)²
Solution:
(1005)²
= (1000 + 5)²
= (1000)² + 2(1000)(5) + (5)²
= 1000000 + 10000 + 25
= 1010025 Ans.


Q.9 Solve the following simultaneous equations
-3x + 4y = 0
x - 4y = ²/₃

SECTION "C"

Q.13: Evaluate with the help of formula: