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Recent questions tagged ch14

Show that the statement " If $x$ is real number such that $x^3+4x=0$, then $x$ is 0." is true using contra positive method.

asked Jul 26, 2014 by rvidyagovindarajan_1

1 answer

Show that the statement " If $x$ is real number such that $x^3+4x=0$, then $x$ is 0." is true using contradiction method.

asked Jul 26, 2014 by rvidyagovindarajan_1

1 answer

Show that the statement " If $x$ is real number such that $x^3+4x=0$, then $x$ is 0." is true using direct method.

asked Jul 25, 2014 by rvidyagovindarajan_1

1 answer

For the statement "If a quadrilateral is a parallelogram then its diagonals bisect each other"' is the statement "If the diagonals of a quadrilateral bisecyt then it is a parallelogram" contra positive or converse?

asked Jul 22, 2014 by rvidyagovindarajan_1

1 answer

For the statement "If a quadrilateral is a parallelogram then its diagonals bisect each other"' is the statement "If the diagonals of a quadrilateral do not bisect then it is not a parallelogram" contra positive or converse?

asked Jul 22, 2014 by rvidyagovindarajan_1

1 answer

For the statement "If you live in Delhi then you have winter clothes.' is the statement "If you have winter clothes then you live in Delhi" contra positive or converse?

asked Jul 22, 2014 by rvidyagovindarajan_1

1 answer

For the statement "If you live in Delhi then you have winter clothes.' is the statement "If you do not have winter clothes then you do not live in Delhi" contra positive or converse?

asked Jul 22, 2014 by rvidyagovindarajan_1

1 answer

Write the statement "To get 'A' in the class it is necessary that you do all the exercises of the book." in 'if-then' form.

asked Jul 22, 2014 by rvidyagovindarajan_1

1 answer

Write the statement "A quadrilateral is a parallelogram if its diagonals bisect each other" in 'if-then' form.

asked Jul 22, 2014 by rvidyagovindarajan_1

1 answer

Write the statement " The banana tree will bloom if it stays warm for a month.' in 'if-then' form

asked Jul 22, 2014 by rvidyagovindarajan_1

1 answer

Write the statement "You get a job implies that your credentials are good" in 'if-than' form.

asked Jul 22, 2014 by rvidyagovindarajan_1

1 answer

Write the converse and contra positive statements of the statement "$x$ is an even number implies that $x$ is divisible by $4$.

asked Jul 21, 2014 by rvidyagovindarajan_1

1 answer

Write the converse and contra positive statements of the statement "You cannot comprehend geometry if you do not know how to reason deductively."

asked Jul 21, 2014 by rvidyagovindarajan_1

1 answer

Write the converse and contra positive statements of the statement "Something cold implies that it has low temperature."

asked Jul 21, 2014 by rvidyagovindarajan_1

1 answer

Write the converse and contra positive statement of the statement " If the two lines are parallel then they do not intersect in the same plane."

asked Jul 21, 2014 by rvidyagovindarajan_1

1 answer

Write the contrapositive and converse of the statement: "If $x$ is prime then $x$ is odd."

asked Jul 21, 2014 by rvidyagovindarajan_1

1 answer

Rewrite the the statement " $If\: a\:natural\:number\:is\:odd,\: then\:its\:square\:is\:also\:odd."$ in five different ways conveying the same meaning.

asked Jul 21, 2014 by rvidyagovindarajan_1

1 answer

State whether 'or' used in the statement " All integers are positive or negative" is inclusive or or exclusive or. Give reason.

asked Jul 16, 2014 by rvidyagovindarajan_1

1 answer

State whether the 'or' in the statement "To apply for a driving licence, you should have a ration card or a passport." is inclusive or or exclusive or. Give reason.

asked Jul 16, 2014 by rvidyagovindarajan_1

1 answer

State whether 'or' used in the statement given "Sun rises or Moon sets" is exclusive or inclusive.

asked Jul 16, 2014 by rvidyagovindarajan_1

1 answer

Check whether the two statements given are negation of each other or not. Give reason " $p: x+y=y+x$ is true for every real number $x\:\:and\:\:y$. $q:$ There exists real numbers $x\:\:and\:\:y$ for which $x+y=y+x$.

asked Jul 16, 2014 by rvidyagovindarajan_1

1 answer

Identify the quantifier and and write the negation of the statement "There exists a capital for every state in India."

asked Jul 16, 2014 by rvidyagovindarajan_1

1 answer

Identify the quantifier and and write the negation of the statement "For every real number $x, \:\:x$ is less that $x+1$."

asked Jul 16, 2014 by rvidyagovindarajan_1

1 answer

Identify the quantifier and write the negation of the statement "There exists a number which is equal to its square."

asked Jul 16, 2014 by rvidyagovindarajan_1

1 answer

Identify the connecting word and and write the components of the statement "$x=2\:\:and\:\:x=3$ are the roots of the equation $3x^2-x-10=0$."

asked Jul 16, 2014 by rvidyagovindarajan_1

1 answer

Identify the connecting word and and write the components of the statement "The sand heats up quickly in the Sun and does not cool down fast at night"

asked Jul 16, 2014 by rvidyagovindarajan_1

1 answer

Identify the connecting word and and write the components of the statement "Square of an integer is positive or negative."

asked Jul 16, 2014 by rvidyagovindarajan_1

1 answer

Identify the connecting word and and write the components of the statement "All rational numbers are real and all real numbers are not complex."

asked Jul 16, 2014 by rvidyagovindarajan_1

1 answer

Write the components of the statement "$100$ is divisible by $3,\:11$ and $5$ Also check whether it is true or false.

asked Jul 14, 2014 by rvidyagovindarajan_1

1 answer

Write the component of the compound statement "All integers are positive or negative." Also check whether it is true of false.

asked Jul 14, 2014 by rvidyagovindarajan_1

1 answer

Write the components of the compound statement "Number $3$ is prime or it is odd" and also find whether it is true or false.

asked Jul 14, 2014 by rvidyagovindarajan_1

1 answer

Are the pair of statements "The number $x$ is a rational number." and "The number $x$ is an irrational number." negation of each other?

asked Jul 14, 2014 by rvidyagovindarajan_1

1 answer

Are the pair of statements "The number $x$ is not a rational number." and "The number $x$ is not an irrational number." negation of each other?

asked Jul 14, 2014 by rvidyagovindarajan_1

1 answer

Write the negation of "Every natural number is an integer."

asked Jul 14, 2014 by rvidyagovindarajan_1

1 answer

Write the negation of "The number $2$ is greater than the number $7$."

asked Jul 14, 2014 by rvidyagovindarajan_1

1 answer

Write the negation of "All triangles are not equilateral triangle."

asked Jul 14, 2014 by rvidyagovindarajan_1

1 answer

Write the negation of "$\sqrt 2$ is not a complex number."

asked Jul 14, 2014 by rvidyagovindarajan_1

1 answer

Write the negation of "Chennai is the capital of Tamil Nadu."

asked Jul 14, 2014 by rvidyagovindarajan_1

1 answer

Selenium (Se) is a group VI element (i.e. two columns to the right of Silicon on the periodic table). An extrinsic semiconductor is produced by doping Silicon (Si) with 1020 Selenium atoms per m3. Assuming saturation, calculate the conductivity of the extrinsic semiconductor.

asked Jul 13, 2014 by balaji.thirumalai

1 answer

Given $n_i = 2.4 \times 10^{19} m^{-3}, \; \mu_n = 0.39\;m^2/V.S, \; \mu_p = 0.19\;m^2/V.s$ for intrinsic Ge at room temperature of $300^{\circ}\;K$, calculate the conductivity of the sample.

asked Jul 13, 2014 by balaji.thirumalai

1 answer

Estimate the conductivity ($\sigma_i$) and resistivity ($\rho_i$) of silicon atoms and electron-hole pairs at room temperature of $300^{\circ}\;K$ if every 10-millionth silicon atom is replaced by an atom of Indium.

asked Jul 13, 2014 by balaji.thirumalai

1 answer

Estimate the intrinsic conductivity ($\sigma_i$) and resistivity ($\rho_i$) of silicon atoms and electron-hole pairs at room temperature of $300^{\circ}\;K$.

asked Jul 13, 2014 by balaji.thirumalai

1 answer

C, Si and Ge atoms have 4 Valence electrons each. Their valence and conduction bands are separated by energy band gaps represented by $E_C, E_{Si}, E_{Ge}$ respectively. Which of the following relationship is true in their case?

asked Jul 13, 2014 by balaji.thirumalai

1 answer

Which of the following statements about intrinsic semiconductors are incorrect?

asked Jul 13, 2014 by balaji.thirumalai

1 answer

Suppose a pure Si crystal has $5 \times 10^{28} \text{atoms} / m^3$. It is doped by 1 ppm concentration of pentavalent As. Calculate the number of electrons and holes, given that $n_i = 1.5 \times 10^{16} \;/m^3$

asked Jul 13, 2014 by balaji.thirumalai

1 answer

A semiconductor has an electron concentration of $0.45 \times 10^{22} \; /m^3$ and a hole concentration of $5 \times 10^{20} \;/ m^3$. Find its conductivity.

asked Jul 13, 2014 by balaji.thirumalai

1 answer

A p type semiconductor has acceptor level of 57 mev above the valance band. Find the maximum wave length of light which can create a hole.

asked Jul 13, 2014 by balaji.thirumalai

1 answer

Give three examples of sentences which are not statements. Give reason.

asked Jul 4, 2014 by rvidyagovindarajan_1

1 answer

'All real numbers are complex numbers.' Is this sentence a statement? How?

asked Jul 4, 2014 by rvidyagovindarajan_1

1 answer

'Today is a windy day.' Is this sentence a statement? why?

asked Jul 4, 2014 by rvidyagovindarajan_1

1 answer

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