Coordinate Geometry MCQs with Answers

Past Paper MCQ

The distance of the point $P(2,3)$ from the X-axis is _?

• A.$2$
• B.$3$
• C.$\sqrt{13}$
• D.$5$

Which of the following statements is true about the points $A(3, 2)$, $B(9, 10)$, and $C(1, 16)$?

• A.The points are collinear
• B.The points form an isosceles triangle
• C.The points form an equilateral triangle
• D.The points form a right-angled triangle

What are the coordinates of $P'$ if point $P(-5, -3)$ is rotated $90^\circ$ counterclockwise about the origin?

• A.$(3, -5)$
• B.$(-3, 5)$
• C.$(5, 3)$
• D.$(-5, 3)$

Find the point which is equidistant from the points $(0, 1)$ and $(3, 3)$.

• A.$(3, 1)$
• B.$(1, 2)$
• C.$(2, 1.5)$
• D.$(1.5, 2)$

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

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

Which of the following statements is true about the points $A(-2, 0)$, $B(2, 0)$, and $C(0, \sqrt{12})$?

• A.The points are collinear
• B.The points form an equilateral triangle
• C.The points form a right-angled triangle
• D.The points form an isosceles triangle but not equilateral

The set of points $(x, y)$ such that $a - h \leq x \leq a + h$, $b - h \leq y \leq b + h$ determines:

• A.A square
• B.A circle
• C.A rectangle
• D.A triangle

In coordinate geometry, "rise over run" denotes ?

• A.$\frac{y_2 - y_1}{x_2 - x_1}$
• B.$\frac{x_2 - x_1}{y_2 - y_1}$
• C.$\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$
• D.$\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}$

Which of the following statements is true about the points $A(1, 2)$, $B(3, 4)$, and $C(0, -1)$?

• A.The points are collinear
• B.The points form an equilateral triangle
• C.The points form a scalene triangle
• D.The points form a right-angled isosceles triangle

In which quadrant does the point $P(2, -3)$ lie?

• A.1st quadrant
• B.2nd quadrant
• C.3rd quadrant
• D.4th quadrant