1 - (i). a^2 – 7a + 12 = 0, (ii). b^2 – 3b + 2 = 0 to solve both the equations to find the values of a and b?
if a > b
2 - (i). a^2 + 11a + 30 = 0, (ii). b^2 + 6b + 5 = 0 to solve both the equations to find the values of a and b?
If a ≤ b
3 - (i). a^2 – 9a + 20 = 0, (ii). 2b^2 – 5b – 12 = 0 to solve both the equations to find the values of a and b?
If a ≥ b
4 - A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook?
10
5 - A parabola graph which opens downward is classified as
concave down
6 - A parabola graph which opens upward is classified as
concave up
7 - Axis of symmetry in form of vertical line separates parabola into
three equal halves
8 - Behavior of function depends upon behavior of
higher degree
9 - 'concave up' parabola point where it bottoms out is considered as
vertex of parabola
10 - Concave up parabola point where it peaks out is considered as
vertex of parabola
11 - Cubic function is considered as
third-degree polynomial function
12 - Find the quadratic equations whose roots are the reciprocals of the roots of 2x^2 + 5x + 3 = 0?
3x^2 + 5x + 2 = 0
13 - Find the roots of quadratic equation: 2x^2 + 5x + 2 = 0?
-2, -1/2
14 - Find the roots of quadratic equation: 3x^2 – 7x – 6 = 0?
3, -2/3
15 - Find the roots of quadratic equation: x^2 + x – 42 = 0?
-7, 6
16 - Find the roots of the quadratic equation: 2×2 + 3x – 9 = 0?
3/2, -3
17 - Find the roots of the quadratic equation: x^2 + 2x – 15 = 0?
-5, 3
18 - Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x^2 + 8x + 4 = 0?
14
19 - Function behaves as x assuming larger positive values and negative values is classified as
ultimate direction
20 - Function which involves independent and dependent variable in form ax²+bx+c is classified as
quadratic function
21 - Functions expressed in form of ratios and form of quotient of polynomials are
rational functions
22 - Graph of quadratic function is classified as
parabolas
23 - I. 9a^2 + 18a + 5 = 0, II. 2b^2 + 13b + 20 = 0 to solve both the equations to find the values of a and b?
If a > b
24 - I. a^2 + 8a + 16 = 0, II. b^2 – 4b + 3 = 0 to solve both the equations to find the values of a and b?
If a < b
25 - I. a^2 – 13a + 42 = 0, II. b^2 – 15b + 56 = 0 to solve both the equations to find the values of a and b?
If a ≤ b.
26 - I. a3 – 988 = 343, II. b^2 – 72 = 49 to solve both the equations to find the values of a and b?
If a ≥ b
27 - I. x^2 – x – 42 = 0, II. y^2 – 17y + 72 = 0 to solve both the equations to find the values of x and y?
If x < y
28 - I. x^2 + 3x – 18 = 0, II. y^2 + y – 30 = 0 to solve both the equations to find the values of x and y?
If x = y or the relationship between x and y cannot be established.
29 - I. x^2 + 5x + 6 = 0, II. y^2 + 9y +14 = 0 to solve both the equations to find the values of x and y?
If x = y or the relationship between x and y cannot be established.
30 - I. x^2 + 9x + 20 = 0, II. y^2 + 5y + 6 = 0 to solve both the equations to find the values of x and y?
If x < y
31 - I. x^2 + 11x + 30 = 0, II. y^2 + 15y + 56 = 0 to solve both the equations to find the values of x and y?
If x > y
32 - If a and b are the roots of the equation x^2 – 9x + 20 = 0, find the value of a^2 + b^2 + ab?
61
33 - If the roots of a quadratic equation are 20 and -7, then find the equation?
x^2 – 13x – 140 = 0
34 - If the roots of the equation 2x^2 – 5x + b = 0 are in the ratio of 2:3, then find the value of b?
3
35 - In quadratic function ax²+bx+c, condition for solving is
a cannot be equal to zero
36 - In quadratic function, parabola will concave down if
a = -2
37 - In quadratic function, parabola will concave up if
a = 3
38 - In quadratic if a will become zero than quadratic function becomes
linear function
39 - Linear and quadratic functions are examples of
polynomial functions
40 - Linear function is considered as
first-degree polynomial function
41 - One root of the quadratic equation x^2 – 12x + a = 0, is thrice the other. Find the value of a?
27
42 - Point in parabola where it passes through y-axis is classified as
y-intercept of parabola
43 - Polynomial function general form with degree n,independent variable x and dependant variable is
y = ƒ(x)
44 - Quadratic function is considered as
second-degree polynomial function
45 - Quadratic function parabola graph is concave down if
a < 0
46 - Quadratic function parabola graph is concave up if
a > 0
47 - Sketch of quadratic function parabola can be drawn easily because of predetermined factors which includes
all of above
48 - The roots of the equation 3x^2 – 12x + 10 = 0 are?
irrational and unequal
49 - The sum and the product of the roots of the quadratic equation x(power 2) + 20x + 3 = 0 are?
-20, 3
50 - The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?
20, 22, 24
51 - The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?
9, 10
52 - X coordinate of vertex is
−b⁄2a
53 - X-intercept of parabola shows value of x when value of
y = 0
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