Algebra
1) Find the zeroes of the following quadratic polynomial: x² - 2x - 8
- (7, 4)
- (5, 4)
- (-2, 4)
- (2, -4)
2) Find the zeroes of the following quadratic polynomial 4s² - 4s + 1
- 1/2
- 2/3
- 3/4
- 5/2
3) Find the zeroes of the following quadratic polynomial 6x² - 3 - 7x
- (-1/2, 3/2)
- (-1/3, 7/2)
- (1/2, 3/2)
- (-1/4, 5/8)
4) Find the zeroes of the following quadratic polynomial: 4u² + 8u
- (0, 3)
- (0, -1)
- (0, -2)
- (5, 0)
5) Find the zeroes of the following quadratic polynomial: t² - 15
- ±√19
- ±√11
- ±√15
- ±√18
6) Find the zeroes of the following quadratic polynomial 3x² - x - 4
- (4/3, 1)
- (2/3, -1)
- (2/3, -2)
- (7/3, 1)
7) Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively 1/4, -1
- 6x² - 3x -1
- 8x² - 4x -7
- 4x² - x -1
- 6x² - x - 2
8) Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively √2, 1/3
- 3x² - 3√2x + 1
- 3x² - 4√2x + 2
- 4x² - 5√2x + 4
- 7x² - 6√2x + 5
9) Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively 0, √5
- 2x² + √5
- x² + √7
- x² + √5
- x² + √8
10) Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively: 1, 1
- x² + x + 9
- x² - x + 1
- x² - 2x + 8
- x² - 2x + 3
11) Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively: -1/4, 1/4
- 4x² - x - 1
- 4x² + 4x + 1
- 4x² + x + 1
- 4x² + 5x + 5
12) Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively: 4, 1
- x² - 4x + 1
- 3x² - 4x + 3
- 2x² - 4x + 5
- 2x² - 5x + 3
13) Given the linear equation 2x + 3y – 8 = 0; write another linear equation in two variables such that the geometrical representation of the pair so formed is Intersecting lines.
- 4x + 4y – 8 = 0
- 4x + 12y – 3 = 0
- 6x + 7y – 8 = 0
- 8x + 9y – 18 = 0
14) Given the linear equation 2x + 3y – 8 = 0; write another linear equation in two variables such that the geometrical representation of the pair so formed is Parallel lines.
- 4x + 6y – 12 = 0
- 5x + 6y – 10 = 0
- 7x + 7y – 7= 0
- 7x + 8y – 12 = 0
15) Given the linear equation 2x + 3y – 8 = 0; write another linear equation in two variables such that the geometrical representation of the pair so formed is Coincident lines
- 4x + 9y – 12 = 0
- 4x + 6y – 16 = 0
- 5x + 7y – 10 = 0
- 9x + 6y – 10 = 0
16) Solve the following pair of linear equations by the substitution method. x + y = 14 and x – y = 4
- (5 ,9)
- (9, 5)
- (7, 8)
- (8, 7)
17) Solve the following pair of linear equations by the substitution method. s – t = 3 and s/3 + t/2 = 6
- (7, 8)
- (4, 7)
- (9, 6)
- (7, 10)
18) Solve the following pair of linear equations by the substitution method. 3x – y = 3 and 9x – 3y = 9
- (4, 6)
- (3, 1)
- (7, 9)
- No solution
19) Solve the following pair of linear equations by the substitution method. 0.2x + 0.3y = 1.3 and 0.4x + 0.5y = 2.3
- (5, 7)
- (4, 5)
- (5, 3)
- (2, 3)
20) Solve the following pair of linear equations by the substitution method √2x + √3y = 0 and √3x - √8y = 0
- (1, -1)
- (1, 1)
- (0, 1)
- (0, 0)
21) Check whether (x + 1)² = 2(x – 3) is
- Not an Quadratic equation
- Quadratic equation
- Can’t determine
- Data inadequate
22) Check whether x² – 2x = (-2) (3 – x) is
- Data inadequate
- Quadratic equation
- Not an Quadratic equation
- Can’t determine
23) Check whether (x – 2) (x + 1) = (x – 1) (x + 3)
- Quadratic equation
- Data inadequate
- Can’t determine
- Not an Quadratic equation
24) Check whether (x – 3) (2x + 1) = x(x + 5) is
- Data inadequate
- Quadratic equation
- Not an Quadratic equation
- Can’t determine
25) Check whether (2x – 1) (x – 3) = (x + 5) (x – 1) is
- Quadratic equation
- Not an Quadratic equation
- Data inadequate
- Can’t determine
26) Check whether x² + 3x + 1 = (x – 2)² is
- Data inadequate
- Not an Quadratic equation
- Quadratic equation
- Can’t determine
27) Check whether (x + 2)³ = 2x (x² – 1) is
- Data inadequate
- Can’t determine
- Quadratic equation
- Not an Quadratic equation
28) Check whether x³ – 4x² – x + 1 = (x – 2)³ is
- Data inadequate
- Not an Quadratic equation
- Can’t determine
- Quadratic equation
29) The area of a rectangular plot is 528 m². The length of the plot (in meters) is one more than twice its breadth. We need to find the length and breadth of the plot.
- 2x² + 3x – 528 = 0
- 2x² + x – 528 = 0
- 4x² + 3x – 528 = 0
- 3x² + 3x – 528 = 0
30) The product of two consecutive positive integers is 306. We need to find the integers.
- x² + x – 306 = 0
- 2x² + 2x – 306 = 0
- x² + 2x – 306 = 0
- 3x² + 2x – 306 = 0