List of top Mathematics Questions

The distance of point (2, 4) from the x-axis is?
The maximum number of parallel tangents that can be drawn to a circle is:
The number of complex numbers \( z \), satisfying \( |z| = 1 \) and \[ \left| \frac{z}{\overline{z}} + \frac{\overline{z}}{z} \right| = 1, \] is:
A person wants to invest at least ₹20,000 in plan A and \₹30,000 in plan B. The return rates are 9% and 10% respectively. He wants the total investment to be ₹80,000 and investment in A should not exceed investment in B. Which of the following is the correct LPP model (maximize return $ Z $)?
Let \( \vec{p} = 2\hat{i} - 3\hat{j} - \hat{k} \), \( \vec{q} = -3\hat{i} + 4\hat{j} + \hat{k} \) and \( \vec{r} = \hat{i} + \hat{j} + 2\hat{k} \). Express \( \vec{r} \) in the form of \( \vec{r} = \lambda \vec{p} + \mu \vec{q} \) and hence find the values of \( \lambda \) and \( \mu \).
The roots of quadratic equation \( 2x^2 + x - 4 = 0 \) are:
A regular brick is in the shape of:
Two cars are seen from the top of a tower of height 75 m with angles of depression \(30^\circ\) and \(45^\circ\). If the cars are on opposite sides of the tower along the same line, the distance between them is:
All the circles are -------:
If \( a, b, c \) are in A.P., then \( \frac{a - b}{b - c} \) is equal to:
In \( \triangle ABC \), \( DE \) is a line such that \( \frac{AD}{DB} = \frac{AE}{EC} \) and \( \angle EDA = \angle ACB \), then \( \triangle ABC \) is a/an:
\( \log 2 \) is:
The distance between two parallel tangents of a circle of radius 4 cm is:
A line which intersects a circle at two points is called as:
The parallelogram circumscribing a circle is a:
If the angle between two radii of a circle is \( 120^\circ \), then the angle between the tangent and the ends of the radii is:
The ratio of the areas of two similar triangles is equal to the ratio of the------ their corresponding sides.
In \( \triangle PQR \), \( ST \parallel QR \), \( PQ = 12 \) cm, \( PR = 24 \) cm, and \( SP = 4 \) cm, then \( PT = \)
In \( \triangle ABC \), if \( AB = 6\sqrt{3} \) cm, \( AC = 12 \) cm and \( BC = 6 \) cm, then the angle \( B \) is:
A cylinder and a cone have bases of equal radii and heights, then the ratio of volumes is:
If \( 3^x = 9^{x-1} \), then the value of \( x \) is:
If the mean of \( x, y, 3, 4 \) is 5, then \( x + y = ? \)
LCM of 9, 12 and 15 is?
The mean and mode of 5, 3, 9, 1, 9, 8, 9, 4 are m and n respectively, the value of m+n is?
Mode of the data \( 19, 2, 6, 12, 12, 3, 5, 6, 18, 14, 6, 17, 2 \) is: