Quadratic Equations MCQs with Answers

If $1 - i$ is a root of the equation $x^2 + ax + b = 0$, where $a, b \in \mathbb{R}$, then the value of $a - b$ is?

• A.$2$
• B.$4$
• C.$-2$
• D.$-4$

The number of solutions of a quadratic equation $ax^2 + bx + c = 0$ is?

• A.$1$
• B.$2$
• C.$0$
• D.Infinite

Sum of roots of quadratic equation $px^2 - qx + r = 0$ is _?

• A.$\frac{p}{q}$
• B.$\frac{r}{p}$
• C.$-\frac{q}{p}$
• D.$\frac{q}{p}$

A charge $Q$ is divided into two parts $q$ and $Q-q$ and they are separated by a distance $R$. The force of repulsion between them will be maximum when:

• A.$q = \frac{Q}{2}$
• B.$q = \frac{Q}{3}$
• C.$q = \frac{Q}{4}$
• D.$q = Q$

A company has a cost function $C(Q) = 2Q^2 + 10Q + 50$. What is the marginal cost of producing the 5th unit of output?

• A.$28$
• B.$30$
• C.$32$
• D.$34$

The number of roots of a cubic equation is?

• A.$1$
• B.$2$
• C.$3$
• D.$4$

Past Paper MCQ

If one factor of the quadratic equation $x^2 - 3x - 10 = 0$ is $(x - 5)$, what is the other factor?

• A.$(x + 2)$
• B.$(x - 2)$
• C.$(x + 5)$
• D.$(x - 10)$

Past Paper MCQ

If the sum of the roots of a quadratic equation is $-2$ and the product of the roots is $3$, find the quadratic equation.

• A.$x^2 + 2x + 3 = 0$
• B.$x^2 - 2x + 3 = 0$
• C.$x^2 + 2x - 3 = 0$
• D.$x^2 - 2x - 3 = 0$

Past Paper MCQ

Solve the equation: $2x^2 + 5x - 12 = 0$. Find the value of $x$.

• A.$x = \frac{3}{2},\; x = -4$
• B.$x = -\frac{3}{2},\; x = 4$
• C.$x = \frac{2}{3},\; x = -4$
• D.$x = 3,\; x = -2$

Past Paper MCQ

If $2x^2 - 3x - 2 = 0$, then $x = ?$

• A.$x = 2,\ -\frac{1}{2}$
• B.$x = -2,\ \frac{1}{2}$
• C.$x = 1,\ -2$
• D.$x = -1,\ 2$