Coordinate Geometry MCQs with Answers

Which of the following statements is true about the points $A(5, -2)$, $B(1, 2)$, and $C(-2, 5)$?

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

Past Paper MCQ

In the $xy$-plane, points $(-3,5)$ and $(6,8)$ lie on line $l$. Which of the following points is also on line $l$?

• A.$(9,10)$
• B.$(3,7)$
• C.$(0,6)$
• D.$(-6,3)$

The equation of the tangent line to the curve $y = x^2$ at the point $(2, 4)$ is:

• A.$x - 4y = 2$
• B.$4x + y = 4$
• C.$2x - y = 0$
• D.$4x - y = 4$

If the points $(x + 5, 8)$ and $(9, y - 6)$ are equal, then the values of $x$ and $y$ will be _?

• A.$x = 9$, $y = 8$
• B.$x = 14$, $y = 4$
• C.$x = -4$, $y = 2$
• D.$x = 4$, $y = 14$

The slope-intercept form of the equation of a line is:

• A.$y - y_1 = m(x - x_1)$
• B.$ax + by + c = 0$
• C.$y = mx + c$
• D.$\frac{x}{a} + \frac{y}{b} = 1$

The orientation of the graph of $x = a$ with respect to the $y$-axis is?

• A.Parallel
• B.Perpendicular
• C.Coincident
• D.Intersecting at $45^\circ$

Distance between the points $(p, q)$ and $(p + 4, q + 5)$ is?

• A.$\sqrt{41}$
• B.$41$
• C.$9$
• D.$\sqrt{20}$

$A = (3, 1)$ and $B = (7, -5)$ are two points on the Cartesian plane. Calculate the distance between these points.

• A.$4\sqrt{5}$
• B.$4\sqrt{13}$
• C.$2\sqrt{5}$
• D.$2\sqrt{13}$

Distance between points $(2,3)$ and $(7,3)$ is ?

• A.$10$
• B.$4$
• C.$7$
• D.$5$

The lines represented by $ax^2 + 2hxy + by^2 = 0$ are real and distinct if:

• A.$h^2 + ab > 0$
• B.$h^2 - ab = 0$
• C.$h^2 - ab < 0$
• D.$h^2 - ab > 0$