List of top Mathematics Questions

The roots of a quadratic equation \(x^2-3x-10=0\) are
The number \(π\) is a
The sum of first 'n' natural numbers is
The pair of equations x=0 and x=5 has
The sum of roots of a quadratic equation \(3x^2 -7x+11=0\) is
In an A.P. if the first term is 4 and 9th term is 20 then 15th term is
If A is a skew symmetric matrx, then \(A^ {2021}\) is
Let L1 be the line joining (0, 0, 0) and (1, 2, 3) and L2 be the line joining (2, 3, 4) and (3, 4, 5). The point of intersection of L1 and L2 is
If \( \theta \) be the angle between the vectors \( a = 2\hat{i} + 2\hat{j} - \hat{k} \) and \( b = 6\hat{i} - 3\hat{j} + 2\hat{k} \), then
If \( x, y \) and \( z \) are non-zero real numbers and \( a = x\hat{i} + 2\hat{j}, b = y\hat{j} + 3\hat{k} \) and \( c = x\hat{i} + y\hat{j} + z\hat{k} \) are such that \( a \times b = z\hat{i} - 3\hat{j} + \hat{k} \), then \( [abc] \) is equal to
If \( p = \hat{i} + \hat{j}, q = 4\hat{k} - \hat{j} \) and \( r = \hat{i} + \hat{k} \), then the unit vector in the direction of \( 3p + q - 2r \) is
The line \( \frac{x-3}{4} = \frac{y-4}{5} = \frac{z-5}{6} \) is parallel to the plane.
The angle between the lines \( \frac{x+4}{3} = \frac{y-1}{5} = \frac{z+3}{4} \) and \( \frac{x+1}{1} = \frac{y-4}{1} = \frac{z-5}{2} \)
The point of intersection of the lines \( \frac{x - 1}{1} = \frac{y - 1}{2} = \frac{z - 2}{3} \) and \( \frac{x - 5}{2} = \frac{y - 2}{1} = \frac{z - 5}{2} \)
The point \( (-3, -2) \) lies
The maximum of \( Z \) is where, \( Z = 4x + 2y \) subject to constraints \[ 4x + 2y \geq 46, \quad x + 3y \leq 24, \quad x, y \geq 0 \]
Maximum value of \( z = 12x + 3y \), subject to constraints \( x \geq 0, y \geq 0, x + y \leq 5 \) and \( 3x + y \leq 9 \) is
The equation of the pair of angle bisectors of the line \( x^2 - 4xy - 5y^2 = 0 \) is:
The distance of point \( (1, 2) \) from line \( x + y + 2 = 0 \) measured along the line parallel to \( 2x - y = 5 \) is equal to:
The slope of lines which makes an angle \( 45^\circ \) with the line \( 2x - y = -7 \)
If 2 and 3 are intercepts of a line \( L = 0 \), then the distance of \( L \equiv 0 \) from the origin is
If \( ^nC_3 = 220 \), then \( n = \ ? \)
There are 12 points in a plane out of which 3 points are collinear. How many straight lines can be drawn by joining any two of them?
A regular polygon of \( n \) sides has 170 diagonals. Then \( n \) is equal to:
The probability of choosing randomly a number \( c \) from the set \( \{1, 2, 3, \dots, 9\} \) such that the quadratic equation \( x^2 + 4x + c = 0 \) has real roots, is