$CATEGORY: Maths - TicTacLearn/4. Quadratic equations/4. Quadratic equations--Quadratic Equations

//Multiple Choice

The standard form of a quadratic equation is\: {
= \(ax^2+bx+c=0\)
~ \(ax^2+b=0\)
~ \(ax^2+c=0\)
~ \(ax^2−bx=0\)
}

 The highest power of x in a quadratic equation is\: {
~ 1
= 2
~ 3
~ 4
}

 Which of the following is a quadratic equation? {
~ \(2x+3=0\)
= \(x^2−4x+4=0\)
~ \(x^3−2x+1=0\)
~ \(x+1=0x\)
}

 In the quadratic equation \(ax^2+bx+c\=0\) , a should be\: {
~ Any real number
~ Zero
= Non-zero
~ A fraction
}

 If one root of the quadratic equation x^2−5x+6\=0 is 2, the other root is\: {
~ 1
= 3
~ 4
~ -2
}

 If a\=0 in the equation \(ax^2+bx+c\=0\) , then the equation becomes\: {
~ Quadratic
= Linear
~ Cubic
~ No equation
}

 The equation \(4x^2−3x+5\=0\) is\: {
~ Linear equation
= Quadratic equation
~ Cubic equation
~ None of these
}

//True or False

The highest degree of a quadratic equation is 2. {T}

The equation \(x^3−4x+6\=0\) is a quadratic equation. {F}

The coefficient of x2 in the equation \(5x^2−7x+2\=0\) is 5. {T}

Every quadratic equation has exactly two real roots. {F}

A quadratic equation can have at most one solution. {F}

If a\=0  in  \(ax^2+bx+c\=0\) , then it is no longer a quadratic equation. {T}

//Numericals



//Fill in the blanks

The coefficient of x2 in the equation \(3x^2−2x+5\=0\) is __________. {
= 3
~ -2
~ 5
~ 0
}

A quadratic equation always has at most __________ solutions. {
~ 1
= 2
~ 3
~ 4
}

The equation \(x^2+2x−8\=0\) is a __________ equation. {
~ Linear
= Quadratic
~ Cubic
~ None of these
}

In the equation \(ax^2+bx+c\=0\) , the value of aaa should not be __________. {
~ 1
= 0
~ 2
~ -3
}

The highest exponent of xxx in a quadratic equation is __________. {
~ 0
~ 1
= 2
~ 3
}

The equation \(x^2−7x+12\=0\) is an example of a __________ equation. {
~ Linear
= Quadratic
~ Cubic
~ Biquadratic
}

//Match the following

Match the following items from Column A with their correct corresponding options from Column B\:
{
=\(x^2+3x+2\=0\) -> Quadratic Equation
=\(2x+5\=0\) -> Linear Equation
=\(x^3−4x+6\=0\) -> Cubic Equation
=\(x^4−x^2+1\=0\) -> Biquadratic Equation
}



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