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Mathematics
List of top Mathematics Questions
The number
\(π\)
is a
TS POLYCET - 2022
TS POLYCET
Mathematics
Irrational Numbers
The sum of roots of a quadratic equation
\(3x^2 -7x+11=0\)
is
TS POLYCET - 2022
TS POLYCET
Mathematics
Quadratic Equation
The degree of a quadratic equation
\(ax^2+bx+c=0, \ a≠0\)
is
TS POLYCET - 2022
TS POLYCET
Mathematics
Quadratic Equation
The roots of a quadratic equation
\(x^2-3x-10=0\)
are
TS POLYCET - 2022
TS POLYCET
Mathematics
Quadratic Equation
The sum of first 'n' natural numbers is
TS POLYCET - 2022
TS POLYCET
Mathematics
Natural Number
The pair of equations x=0 and x=5 has
TS POLYCET - 2022
TS POLYCET
Mathematics
Solution of a Linear Equation
How many two-digit numbers are divisible by 3?
TS POLYCET - 2022
TS POLYCET
Mathematics
Divisibility Rules
If the H.C.F. of any two numbers is equal to '1' then those numbers are called as
TS POLYCET - 2022
TS POLYCET
Mathematics
Some Problems on HCF and LCM
If
\(α, β\)
are the roots of a quadratic equation
\(ax^2+bx+c=0,\ a≠0\)
then
\(α^2+β^2\)
TS POLYCET - 2022
TS POLYCET
Mathematics
Quadratic Equation
In an A.P. if the first term is 4 and 9
th
term is 20 then 15
th
term is
TS POLYCET - 2022
TS POLYCET
Mathematics
Arithmetic Progression
If A= {a, b, c, d} then number of subsets of A are
TS POLYCET - 2022
TS POLYCET
Mathematics
Subsets
If A is a skew symmetric matrx, then \(A^ {2021}\) is
KCET - 2022
KCET
Mathematics
Probability
Let L
1
be the line joining (0, 0, 0) and (1, 2, 3) and L
2
be the line joining (2, 3, 4) and (3, 4, 5). The point of intersection of L
1
and L
2
is
KEAM - 2022
KEAM
Mathematics
Three Dimensional Geometry
If \( U_{n+1} = 3U_n - 2U_{n-1} \) and \( U_0 = 2, U_1 = 3 \), then \( U_n \) is equal to
COMEDK UGET - 2022
COMEDK UGET
Mathematics
Sequence and series
If \( 4^n + 15n + P \) is divisible by 9 for all \( n \in \mathbb{N} \), then the least negative integral value of \( P \) is
COMEDK UGET - 2022
COMEDK UGET
Mathematics
Sequence and series
\( (2^{3n} - 1) \) is divisible by
COMEDK UGET - 2022
COMEDK UGET
Mathematics
Sequence and series
If \( S = \frac{2^2 - 1}{2} + \frac{3^2 - 2}{6} + \frac{4^2 - 3}{12} + \ldots\) \text{ upto 10 terms, then S is equal to
}
COMEDK UGET - 2022
COMEDK UGET
Mathematics
Sequence and series
\( \sum_{n=1}^{m} n \cdot n! \) is equal to
COMEDK UGET - 2022
COMEDK UGET
Mathematics
Sequence and series
The first and fifth terms of an A.P. are -14 and 2 respectively and the sum of its $n$ terms is 40. The value of $n$ is
COMEDK UGET - 2022
COMEDK UGET
Mathematics
Sequence and series
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
COMEDK UGET - 2022
COMEDK UGET
Mathematics
Vectors
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
COMEDK UGET - 2022
COMEDK UGET
Mathematics
Vectors
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
COMEDK UGET - 2022
COMEDK UGET
Mathematics
Vectors
The line \( \frac{x-3}{4} = \frac{y-4}{5} = \frac{z-5}{6} \) is parallel to the plane.
COMEDK UGET - 2022
COMEDK UGET
Mathematics
Vectors
The angle between the lines \( \frac{x+4}{3} = \frac{y-1}{5} = \frac{z+3}{4} \) and \( \frac{x+1}{1} = \frac{y-4}{1} = \frac{z-5}{2} \)
COMEDK UGET - 2022
COMEDK UGET
Mathematics
Vectors
The point of intersection of the lines \( \frac{x - 1}{1} = \frac{y - 1}{2} = \frac{z - 2}{3} \) and \( \frac{x - 5}{2} = \frac{y - 2}{1} = \frac{z - 5}{2} \)
COMEDK UGET - 2022
COMEDK UGET
Mathematics
Vectors
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