Question 1

The equations x² + 4 =0 is a ………… A)Quadratic equation B)Cubic equation C)Simple equation D)None

Accepted Answer

The given equation simplifies to x^2 + 4 = 0, which is a quadratic equation because it has the highest power of x as 2.

Question 2

Equation ax² + b = 0 A)Pure quadratic equation B)General quadratic equation C)Not a quadratic equation D)None

Accepted Answer

A pure quadratic equation is of the form ax^2 + c = 0, where b = 0. The given equation ax^2 + b = 0 fits this form with b as a constant term.

Question 3

The root of the eqn 3x² -1 = 0 are ……… A)Irrational B)Imaginary C)Rational D)integer

Accepted Answer

The roots of the equation 3x^2 - 1 = 0 are x = ±√(1/3), which are irrational numbers.

Question 4

x² - 4 = 0 implies x =……….. A)2 B)-2 C)± 2 D)None

Accepted Answer

The given equation is x² - 4 = 0. Simplifying the equation, we get x^2 - 4 = 0. Factoring the equation, we get (x - 2)(x + 2) = 0, which implies x = ±2.

Question 5

………….. is one of the solutions to the equation 3x² - 4x+1 =0 A)x = -1 B)x = 1 C)x = 2 D)x = 0

Accepted Answer

The quadratic equation 3x^2 - 4x + 1 = 0 can be solved using the quadratic formula x = [-b ± √(b²-4ac)]/(2a). Substituting a = 3, b = -4, and c = 1, we find that one of the solutions is x = 1.

Question 6

The expression b²- 4ac is called ………… of the quadratic eqn. A)Discriminant B)Roots C)Characteristics D)solution

Accepted Answer

The expression $b^2 - 4ac$ is called the discriminant of the quadratic equation. It determines the nature of the roots of the equation.

Question 7

If the discriminant of a quadratic eqn is zero, the roots are&#10;A)Real and equal&#10;B)Real and unequal&#10;C)Complex&#10;D)Nothing

Accepted Answer

When the discriminant of a quadratic equation is zero, it means the equation has one distinct real root, or in other words, the roots are real and equal.

Question 8

Quadratic eqn ax²+ bx + c = 0 has equal roots if A)b - 4ac < 0 B)b - 4ac > 0 C)b - 4ac = 0 D)b - 4ac = 1

Accepted Answer

For a quadratic equation $ax^2 + bx + c = 0$, the condition for it to have equal roots is given by the discriminant $b^2 - 4ac = 0$. This ensures that the quadratic equation has one real root (or two equal real roots).

Question 9

Eqn y = 2x+5 has&#10;A)No solution&#10;B)One solution&#10;C)3 solutions&#10;D)Infinite solutions

Accepted Answer

The equation y = 2x + 5 is a linear equation, which graphically represents a straight line. A straight line extends infinitely in both directions, intersecting the y-axis at one point and having an infinite number of points (x, y) that satisfy the equation, thus having infinite solutions.

Question 10

X = 4 + 8y is&#10;A)Quadratic&#10;B)Linear&#10;C)Exponential&#10;D)none

Accepted Answer

The equation X = 4 + 8y is linear because it can be rewritten in the form y = mx + b, where m and b are constants, and there are no exponents on the variable y.

Question 11

&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;. satisfies the eqn x +y +1 = 0&#10;A)(x = 0 , y = 0 )&#10;B)( x = 1, y = - 2 )&#10;C)( x= 0 , y = 1)&#10;D)(x = -2, y = 2)

Accepted Answer

The answer of &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;. satisfies the eqn x +y +1...

Question 12

Simultaneous eqns means a set of eqn in &#8230;&#8230;.. unknowns&#10;A)One&#10;B)Two&#10;C)Three&#10;D)Any number

Accepted Answer

The answer of Simultaneous eqns means a set of eqn...

Question 13

&#8230;&#8230;&#8230;&#8230;&#8230;.. are mathematical statements that contains one or more derivatives&#10;A)Sets&#10;B)Linear eqn&#10;C)Equation&#10;D)None

Accepted Answer

The answer of &#8230;&#8230;&#8230;&#8230;&#8230;.. are mathematical statements that contains one...

Question 14

It is an eqn is one or more variables where each terms degrees is not more than I is&#10;A)Simultaneous eqn&#10;B)Linear eqn&#10;C)Eqn&#10;D)none

Accepted Answer

The answer of It is an eqn is one or...

Question 15

&#8230;&#8230;&#8230;&#8230;&#8230; are a set of eqn containing multiple variables&#10;A)Simultaneous eqn&#10;B)Linear eqn&#10;C)Eqn&#10;D)none

Accepted Answer

The answer of &#8230;&#8230;&#8230;&#8230;&#8230; are a set of eqn containing...

Question 16

Elimination by judicious multiplication is the other commonly used method to solve&#10;A)Simultaneous eqn&#10;B)Linear eqn&#10;C)Simultaneous linear eqn&#10;D)none

Accepted Answer

The answer of Elimination by judicious multiplication is the other...

Question 17

The term &#34;Quadratic&#34; comes from&#10;A)Quadratis&#10;B)Quadratice&#10;C)Quadratus&#10;D)None

Accepted Answer

The answer of The term &#34;Quadratic&#34; comes from&#10;A)Quadratis&#10;B)Quadratice&#10;C)Quadratus&#10;D)None...

Question 18

Quadratics eqn is an eqn in which the highest power of the variables is&#10;A)1&#10;B)2&#10;C)3&#10;D)None

Accepted Answer

The answer of Quadratics eqn is an eqn in which...

Question 19

&#8230;&#8230;&#8230;&#8230; means to rewrite the quadratic eqn into multiplication form&#10;A)Graphing&#10;B)Completing the square&#10;C)Factoring&#10;D)None

Accepted Answer

The answer of &#8230;&#8230;&#8230;&#8230; means to rewrite the quadratic eqn...

Question 20

The formula used for finding the roots of a quadratics eqn is known as&#10;A)Completing the square&#10;B)Factoring&#10;C)Quadratic formula&#10;D)none

Accepted Answer

The answer of The formula used for finding the roots...

Question 21

A quadratic eqn with real (or) complex coefficients has 2 solutions called&#10;A)Roots&#10;B)Eqn&#10;C)Formula&#10;D)None

Accepted Answer

The answer of A quadratic eqn with real (or) complex...

Question 22

Break even point is&#10;A)No sales no production&#10;B)No profit no loss&#10;C)Above targeted profit&#10;D)None

Accepted Answer

The answer of Break even point is&#10;A)No sales no production&#10;B)No...

Question 23

At market equilibrium&#10;A)Demand = Supply&#10;B)Profit = Loss&#10;C)Sales = forecast&#10;D)None

Accepted Answer

The answer of At market equilibrium&#10;A)Demand = Supply&#10;B)Profit = Loss&#10;C)Sales...

Question 24

R(x) ==C(x) denotes&#10;A)Profit function&#10;B)Market equilibrium&#10;C)BEP&#10;D)None

Accepted Answer

The answer of R(x) ==C(x) denotes&#10;A)Profit function&#10;B)Market equilibrium&#10;C)BEP&#10;D)None...

Question 25

A series obtained by adding a constant number to its preceding terms is&#10;A)GP&#10;B)AP&#10;C)GP or AP&#10;D)None

Accepted Answer

The answer of A series obtained by adding a constant...

Deck 2: Quadratic Equations and Mathematical Statements