List of top Mathematics Questions

The number of tangents a circle can have from a point outside the circle is:
A ladder is leaned against a wall with angle of \(60^\circ\) with the ground and its foot is 6 feet away from the wall. Then the length of the ladder is:
The angle formed by the line of sight with the horizontal when it is above the horizontal level is:
Which of the following is true?
Let the line \( x + y = 1 \) meet the circle \( x^2 + y^2 = 4 \) at the points A and B. If the line perpendicular to AB and passing through the midpoint of the chord AB intersects the circle at C and D, then the area of the quadrilateral ABCD is equal to:
Let \( \vec{a} = 2\hat{i} - \hat{j} + 3\hat{k} \), \( \vec{b} = 3\hat{i} - 5\hat{j} + \hat{k} \), and \( \vec{c} \) be a vector such that \( \vec{a} \times \vec{c} = \vec{a} \times \vec{b} \) and \( (\vec{a} + \vec{c}) \cdot (\vec{b} + \vec{c}) = 168 \). Then the maximum value of \( |\vec{c}|^2 \) is:

If \( \triangle ODC \sim \triangle OBA \) and \( \angle BOC = 125^\circ \), then \( \angle DOC = ? \)

 

The number of zeroes of a polynomial \( y = p(x) \) as shown below is:

If \( M\left(\frac{p}{3}, 4\right) \) is the midpoint of the line segment joining \( A(-6, 5) \) and \( B(-4, 3) \), then \( p = ? \)
Which of the following are not similar figures?
The distance between the points \( (2, 3) \) and \( (4, 1) \) is
\( D \) and \( E \) are the midpoints of sides \( AB \) and \( AC \) of a triangle \( ABC \) respectively and \( BC = 10 \) cm. If \( DE \parallel BC \), then the length of \( DE \) is
The coordinates of the point \( P(x, y) \) which divides the line segment joining the points \( A(x_1, y_1) \) and \( B(x_2, y_2) \) internally in the ratio \( m_1 : m_2 \) are
The roots of the equation \( 6x^2 - x - 2 = 0 \) are
Find two numbers whose sum is 27 and product is 182.
The equation \( 3x^2 - 5x + 2 = 0 \) has
Each one of 100 boxes is filled with 50 one-rupee coins on the first day and 25 more coins are added every next day. The Arithmetic Progression (AP) representing this situation is
The sum of the first 22 terms of the AP \( 8, 3, -2, \dots \) is
Common difference of the AP \( 3, 1, -1, -3, \dots \) is
If \( x - 4y - 14 = 0 \) and \( 5x - y - 13 = 0 \) will have:
Which of the following is true?
The zero of linear polynomial \( ax + b \) is:
The lines \( 2x + 3y - 9 = 0 \) and \( 4x + 6y - 18 = 0 \) are:
The cumulative frequency of a class is the frequency obtained by:

\(\text{The number of solutions of the equation}\)\(\left(\frac{9}{x}-\frac{9}{\sqrt{x}}+2\right)\left(\frac{2}{x}-\frac{7}{\sqrt{x}}+3\right)=0\mathrm \; {is:}\)