Coordinate Geometry MCQs with Answers

If $A$ and $B$ have the same signs in the equation $Ax^2 + By^2 + Gx + Fy + C = 0$, then the conic is a/an?

• A.Ellipse
• B.Parabola
• C.Hyperbola
• D.Circle

Gradient of a straight line is equal to ?

• A.$\text{Vertical change} + \text{Horizontal change}$
• B.$\frac{\text{Horizontal change}}{\text{Vertical change}}$
• C.$\text{Vertical change} \times \text{Horizontal change}$
• D.$\frac{\text{Vertical change}}{\text{Horizontal change}}$

If $P(2, 1)$ and $Q(8, 1)$ are two of the vertices of a rectangle, which of the following could not be another of the vertices?

• A.$(2, 8)$
• B.$(8, 8)$
• C.$(2, -6)$
• D.$(-2, 8)$

Past Paper MCQ

If point $A$ is $(4, -1)$ and point $B$ is $(3, 5)$, what is the square of the distance $AB^2$ between them?

• A.$37$
• B.$35$
• C.$39$
• D.$41$

If $A$ and $B$ have the same signs in the equation $Ax^2 + By^2 + Gx + Fy + C = 0$, then the conic is a:

• A.Hyperbola
• B.Ellipse
• C.Parabola
• D.Circle

What are the coordinates of $P'$ if point $P(2, -9)$ is rotated $270^\circ$ clockwise about the origin?

• A.$(-9, -2)$
• B.$(9, 2)$
• C.$(-2, 9)$
• D.$(9, -2)$

Consider two vectors $\vec{A} = 2\hat{i} + 3\hat{j}$ and $\vec{B} = -6\hat{i} + 4\hat{j}$. The angle between these two vectors is:

• A.$0^\circ$
• B.$45^\circ$
• C.$90^\circ$
• D.$180^\circ$

What is the result of the cross product of unit vectors $\hat{i} \times \hat{j}$?

• A.$\hat{k}$
• B.$-\hat{k}$
• C.$\hat{j}$
• D.$0$

The direction of a vector in space is specified by?

• A.One angle
• B.Two angles
• C.Three angles
• D.Four angles

The magnitude of $\hat{i} \cdot (\hat{j} \times \hat{k})$ is?

• A.$0$
• B.$-1$
• C.$1$
• D.$\sqrt{2}$