List of top Mathematics Questions

The negative of the statement $\sim p \wedge( p \vee q )$ is
If p and q are positive integers such that \(^{p+q}P_2=42\ and\ ^{p-q}P_2=20\), then the values of p and q respectively
The vertices of a parallelogram are (2, −3), (6, 5), (-2, 1), (-6, -7) in this order. The point of intersection of the diagonals is
Let A and B be subsets of the universal set U. If n(A) = 24 , n (A∩B)=8 and n(U) = 63, then n( A'∪B') is equal to
The value of the integral, $\int_\limits{1}^{3}\left[ x ^{2}-2 x -2\right] dx ,$ where $[x]$ denotes the greatest integer less than or equal to $x$, is :
If the curve $y=a x^{2}+b x+c, x \in R,$ passes through the point (1,2) and the tangent line to this curve at origin is $y = x ,$ then the possible values of $a , b , c$ are :
Shade the feasible region for the inequalities \[ x + y \geq 2, \quad 2x + 3y \leq 6, \quad x \geq 0, \quad y \geq 0 \] in a rough figure.
If A, B, and C are mutually exclusive and exhaustive events of a random experiment such that P(B) = (3/2) P(A) and P(C) = (1/2) P(B), then P(A ∪ C) equals:
Find the maximum value of f(x) = (1 / (4x2 + 2x + 1)).
If (√3 + i)100 = 299 (a + ib), then a2 + b2 is equal to:
Number of terms in the binomial expansion of (x + a)53 + (x - a)53 is:
The coefficient of x10 in the expansion of 1 + (1 + x) + (1 + x)2 + … + (1 + x)20 is:
If f(x) = { ax + 3, for x ≤ 2
a(x - 1), for x > 2 }, then the values of a for which f is continuous for all x are:
The equation of the normal to the curve y = (1 + x)y + sin-1(sin2x) at x = 0 is:
If A ⋅ adj(A) = [ -2 0 0 ]
[ 0 -2 0 ]
[ 0 0 -2 ], then |adj(A)| equals:
If matrix A = [ 2 -2 ] [ -2 2 ] and A² = pA, then the value of p is:
If for any 2 × 2 square matrix A, we have A ⋅ adj(A) = [8 0; 0 8], then the value of det(A) is:
The distance of the point \( (1, 2) \) from the line \( x + y + 5 = 0 \) measured along the line parallel to \( 3x - y = 7 \) is:
The slopes of the lines, which make an angle 45° with the line \( 3x - y = -5 \), are:
Middle term in the expansion of \( \left( x^2 + \frac{1}{x^2} + 2 \right)^n \) is:
If 3 and 4 are intercepts of a line \( L = 0 \), then the distance of \( L = 0 \) from the origin is:
If a polygon of \( n \) sides has 275 diagonals, then \( n \) is equal to:
The number of triangles which can be formed by using the vertices of a regular polygon of \( (n + 3) \) sides is 220. Then, \( n \) is equal to:
Out of 8 given points, 3 are collinear. How many different straight lines can be drawn by joining any two points from these 8 points?
If two pairs of lines \( x^2 - 2mxy - y^2 = 0 \) and \( x^2 - 2nxy - y^2 = 0 \) are such that one of them represents the bisector of the angles between the other, then: