List of top Questions asked in Maharashtra Class X Board

Write the following equation in the form \(ax^2 + bx + c = 0\), then write the values of \(a, b, c\):
\[ 2y = 10 - y^2 \]
Write an A.P. whose first term is \(a = 10\) and common difference \(d = 5\).
Out of the following equations, which one is not a quadratic equation?
For the given A.P. \(a = 3.5, \, d = 0\), find \(t_n = \, ?\)
Find the common difference of the following A.P.: \[ 2, \, 4, \, 6, \, 8, \ldots \]
On a certain article, if the rate of CGST is 9%, then what is the rate of SGST?
If one coin is tossed, write the sample space ‘S’.
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.
The radii of the circular ends of a frustum are 14 cm and 6 cm respectively, and its height is 6 cm. Find its curved surface area. ($\pi = 3.14$)
In $\triangle ABC$, seg $DE \parallel BC$. If $2A(\triangle ADE) = A(\triangle DBCE)$, find $AB : AD$ and show that $BC = \sqrt{3 \, DE$.}
An ice-cream pot has a right circular cylindrical shape. The radius of the base is 12 cm and the height is 7 cm. This pot is completely filled with ice-cream. The entire ice-cream is given to students in the form of right circular cones having diameter 4 cm and height 3.5 cm. If each student is given one cone, how many students can be served?
Eliminate $\theta$ if $x = r \cos \theta$ and $y = r \sin \theta$.
To draw the graph of \(4x + 5y = 19\), find \(y\) when \(x = 1\):
Find the length of the diagonal of a rectangle whose length is 35 cm and breadth is 12 cm.
Show that points A($-1, -1$), B($0, 1$), and C($1, 3$) are collinear.
A person is standing at a distance of 50 m from a temple looking at its top. The angle of elevation is $45^\circ$. Find the height of the temple.
In $\triangle ABC$, seg $AP$ is a median. If $BC = 18$, and $AB^2 + AC^2 = 260$, find $AP$.
In $\triangle RST$, $\angle S = 90^\circ$, $\angle T = 30^\circ$, and $RT = 12$ cm, then find $RS$.
If the radius of a circle is 5 cm, then find the length of the longest chord of the circle.
Find the distance between the points $O(0, 0)$ and $P(3, 4)$.
Show that, $\cot \theta + \tan \theta = \csc \theta \times \sec \theta$
Find the surface area of a sphere of radius 7 cm.
If $a$, $b$, $c$ are sides of a triangle and $a^2 + b^2 = c^2$, name the type of triangle:
Chords AB and CD of a circle intersect inside the circle at point E. If AE = 4, EB = 10, and CE = 8, then find ED:
Co-ordinates of origin are: