List of top Mathematics Questions on Coordinate Geometry asked in Maharashtra Class X Board

Show that points P(1, -2), Q(5, 2), R(3, -1), S(-1, -5) are the vertices of a parallelogram.
Verify, whether points, A(1, -3), B(2, -5) and C(-4, 7) are collinear or not.
Distance of point (3, 4) from the origin is .................. .
Angle made by a line with the positive direction of X-axis is 30\(^\circ\). Find slope of that line.
\( \triangle ABC \sim \triangle LMN \). In \( \triangle ABC \), \( AB = 5.5 \, \text{cm} \), \( BC = 6 \, \text{cm} \), \( CA = 4.5 \, \text{cm} \). Construct \( \triangle ABC \) and \( \triangle LMN \) such that \( \frac{BC}{MN} = \frac{5}{4} \).
Find the slope of the line passing through the points \( A(2, 3) \) and \( B(4, 7) \).
A line makes an angle of \( 45^\circ \) with the positive direction of the X-axis. Find the slope of the line.
What is the slope of the X-axis?

Find the co-ordinates of point P where P is the midpoint of a line segment AB with A($-4$, 2) and B(6, 2). 

Draw the graph of the equation \(x + 2y = 4\). Find the area of the triangle formed by the line intersecting the X-axis and Y-axis.
Draw a circle of radius 3.3 cm. Draw a chord PQ of length 6.6 cm. Draw tangents to the circle at points P and Q.
Eliminate $\theta$ if $x = r \cos \theta$ and $y = r \sin \theta$.
Show that points A($-1, -1$), B($0, 1$), and C($1, 3$) are collinear.
Find the distance between the points $O(0, 0)$ and $P(3, 4)$.
Co-ordinates of origin are: