Register

TIFR-2017-Maths-A: 7

• edited by
129 views
0 votes
0 votes

True/False Question :

Let $H_{1},H_{2},H_{3},H_{4}$ be four hyperplanes in $\mathbb{R}^{3}$. The maximum possible number of connected components of $\mathbb{R}^{3}-\left (H_{1}\cup H_{2}\cup H_{3}\cup H_{4} \right )$ is $14.$

• edited by
User Avatar

Please log in or register to answer this question.

Voting & Accepting an answer helps improve the community
Answer:
← PreviousNext →
← Previous in categoryNext in category →

Related questions

0 votes
0 votes
0 answers
1
soujanyareddy13 asked Aug 30, 2020
122 views
TIFR-2017-Maths-A: 1
True/False Question : Let $f:\left [ 0,1 \right ]\rightarrow \mathbb{R}$ be a continuous function such that $f\left ( x \right )\geq x^{3}$ for all $x \in \left [ 0,1 \right ]$ with $\int_{0}^{1}f\left ( x \right )dx=\frac{1}{4}$. Then $f\left ( x \right )=x^{3}$ for all $x \in \mathbb{R}$.
True/False Question :Let $f:\left [ 0,1 \right ]\rightarrow \mathbb{R}$ be a continuous function such that $f\left ( x \right )\geq x^{3}$ for all $x \in \left [ 0,1 \rig...
User Avatar
0 votes
0 votes
0 answers
2
soujanyareddy13 asked Aug 30, 2020
174 views
TIFR-2017-Maths-A: 2
True/False Question : Suppose $a, b, c$ are positive real numbers such that $\left ( 1+a+b+c \right )\left ( 1+\frac{1}{a}+\frac{1}{b}+\frac{1}{c} \right )=16.$ Then $a+b+c=3.$
True/False Question :Suppose $a, b, c$ are positive real numbers such that$$\left ( 1+a+b+c \right )\left ( 1+\frac{1}{a}+\frac{1}{b}+\frac{1}{c} \right )=16.$$Then $a+b+...
User Avatar
0 votes
0 votes
0 answers
3
soujanyareddy13 asked Aug 30, 2020
112 views
TIFR-2017-Maths-A: 3
True/False Question : There exists a function $f:\mathbb{R} \rightarrow \mathbb{R}$ satisfying, $f\left ( -1 \right )=-1, f(1)=1$ and $\left | f\left ( x \right )-f\left ( y \right )\left | \leq \right |x-y \right |^{\frac{3}{2}},$ for all $x,y \in \mathbb{R}.$
True/False Question :There exists a function $f:\mathbb{R} \rightarrow \mathbb{R}$ satisfying,$f\left ( -1 \right )=-1, f(1)=1$ and $\left | f\left ( x \right )-f\left ( ...
User Avatar
0 votes
0 votes
0 answers
4
soujanyareddy13 asked Aug 30, 2020
132 views
TIFR-2017-Maths-A: 4
True/Flase Question : Over the real line, $\underset{x\rightarrow \infty }{lim}\: log\left ( 1+\sqrt{4+x} -\sqrt{1+x}\right )=log\left ( 2 \right ).$
True/Flase Question :Over the real line,$$\underset{x\rightarrow \infty }{lim}\: log\left ( 1+\sqrt{4+x} -\sqrt{1+x}\right )=log\left ( 2 \right ).$$
User Avatar
Link Copied!