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Highest voted questions in Engineering Mathematics

2 votes
5 answers
3031
expectation
A fair coin is tossed repeatedly till both head and tail appear atleast once. Average no of tosses required is ?
A fair coin is tossed repeatedly till both head and tail appear atleast once. Average no of tosses required is ?
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2 votes
2 answers
3032
coin
A fair coin is tossed n times .find probability of difference between head and tails is n-3
A fair coin is tossed n times .find probability of difference between head and tails is n-3
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2 votes
1 answer
3033
system of equations
value of k for which system of equations x+2y+kz=1 2x+ky+8z=3 has no solution 1)0 2)2 3)4 4) 8
value of k for which system of equations x+2y+kz=1 2x+ky+8z=3 has no solution 1)02)23)44) 8
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2 votes
1 answer
3035
TIFR-2014-Maths-A-3
Let $f: \mathbb{R} \to \mathbb{R}$ be a differentiable function such that $\displaystyle \lim_{x \to +\infty} f'(x)=1$, then $f$ is bounded $f$ is increasing $f$ is unbounded $f'$ is bounded
Let $f: \mathbb{R} \to \mathbb{R}$ be a differentiable function such that $\displaystyle \lim_{x \to +\infty} f'(x)=1$, then$f$ is bounded $f$ is increasing $f$ is unboun...
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2 votes
1 answer
3037
TIFR-2011-Maths-B-13
Any non-singular $k \times k$-matrix with real entries can be made singular by changing exactly one entry.
Any non-singular $k \times k$-matrix with real entries can be made singular by changing exactly one entry.
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2 votes
1 answer
3039
TIFR-2011-Maths-B-8
If $A$ and $B$ are $3 \times 3$ matrices and $A$ is invertible, then there exists an integer $n$ such that $A + nB$ is invertible.
If $A$ and $B$ are $3 \times 3$ matrices and $A$ is invertible, then there exists an integer $n$ such that $A + nB$ is invertible.
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2 votes
0 answers
3040
TIFR-2011-Maths-B-7
There is a non-trivial group homomorphism from $S_{3}$ to $\mathbb{Z}/3\mathbb{Z}$.
There is a non-trivial group homomorphism from $S_{3}$ to $\mathbb{Z}/3\mathbb{Z}$.
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2 votes
1 answer
3041
TIFR-2011-Maths-B-5
The symmetric group $S_{5}$ consisting of permutations on $5$ symbols has an element of order $6$.
The symmetric group $S_{5}$ consisting of permutations on $5$ symbols has an element of order $6$.
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2 votes
1 answer
3042
TIFR-2011-Maths-A-22
There exists a group with a proper subgroup isomorphic to itself.
There exists a group with a proper subgroup isomorphic to itself.
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2 votes
0 answers
3043
TIFR-2011-Maths-A-18
Consider the map $T$ from the vector space of polynomials of degree at most $5$ over the reals to $R \times R$, given by sending a polynomial $P$ to the pair $(P(3), P' (3))$ where $P'$ is the derivative of $P$. Then the dimension of the kernel is $3$.
Consider the map $T$ from the vector space of polynomials of degree at most $5$ over the reals to $R \times R$, given by sending a polynomial $P$ to the pair $(P(3), P' (...
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2 votes
1 answer
3044
TIFR-2011-Maths-A-13
$A$ is $3 \times 4$-matrix of rank $3$. Then the system of equations, $Ax = b$ has exactly one solution.
$A$ is $3 \times 4$-matrix of rank $3$. Then the system of equations,$Ax = b$has exactly one solution.
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2 votes
1 answer
3045
TIFR-2011-Maths-A-11
For any real number $c$, the polynomial $x^{3}+x+c$ has exactly one real root.
For any real number $c$, the polynomial $x^{3}+x+c$ has exactly one real root.
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2 votes
1 answer
3046
TIFR-2011-Maths-A-5
The differential equation $\frac{dy}{dx}= y^{1/3}, y(0)=0$ has A unique solution No nontrivial solution Finite number of solutions Infinite number of solutions
The differential equation$\frac{dy}{dx}= y^{1/3}, y(0)=0$ hasA unique solutionNo nontrivial solution Finite number of solutionsInfinite number of solutions
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2 votes
1 answer
3047
TIFR-2011-Maths-A-4
The groups $Z_{9}$ and $Z_{3} \times Z_{3}$ are Isomorphic Abelian Non abelian Cyclic
The groups $Z_{9}$ and $Z_{3} \times Z_{3}$ are Isomorphic AbelianNon abelianCyclic
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2 votes
0 answers
3048
bijection, surjection please confirm the ans
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2 votes
0 answers
3050
recurrence relation
for the recurrence relation an=6an-1-9an-2 + F n , what will be the particular solution if case 1; F n = 3n 5n+1 case 2; F n = 2n 5n+1
for the recurrence relation an=6an-1-9an-2 + F n , what will be the particular solutionif case 1; F n = 3n 5n+1 case 2; F n = 2n 5n+1
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