List of top Mathematics Questions asked in COMEDK UGET

If 2 and 3 are intercepts of a line \( L = 0 \), then the distance of \( L \equiv 0 \) from the origin is
The point of intersection of the lines \( \frac{x - 1}{1} = \frac{y - 1}{2} = \frac{z - 2}{3} \) and \( \frac{x - 5}{2} = \frac{y - 2}{1} = \frac{z - 5}{2} \)
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:
If A, B, and C are three mutually exclusive and exhaustive events such that \( P(A) = 2P(B) = 3P(C) \). What is \( P(B) \)?
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
Five persons A, B, C, D and E are in queue at a shop. The probability that A and B are always together is.
If the probability for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A or B fail is.
Total number of elements in the power set of a set $A$ containing 17 elements is
How many numbers greater than 50000 can be formed by using digits 2, 5, 5, 6, 7?
The circle \( x^2 + y^2 + 4x - 7y + 12 = 0 \) cuts an intercept on the Y-axis of length
If two circles \( (x - 1)^2 + (y - 3)^2 = r^2 \) and \( x^2 + y^2 - 8x + 2y + 8 = 0 \) are given, then
If the tangent to the curve \( xy + ax + by = 0 \) at \( (1, 1) \) is inclined at an angle \( \tan^{-1}{2} \) with the X-axis, then
The value of \( 3\log_5{5} - 5\log_4{3} \) is

What is the argument of the complex number \(\frac{(1 + i)(2 + i)}{3 - i}\), where \( i = \sqrt{-1} \) ?

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: