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Maths-

General

Easy

Question

If f(x) = $fraction numerator text x end text to the power of 2 end exponent over denominator text a+x end text end fraction blank$ then $blank f to the power of 1 end exponent open parentheses a close parentheses equals$

4a
$\frac{1}{8a}$
$\frac{1}{4a}$
8

The correct answer is: $fraction numerator text 1 end text over denominator text 4a end text end fraction$

Related Questions to study

$x greater than 0 comma x to the power of y end exponent equals blank e to the power of x minus y end exponent blank rightwards double arrow blank fraction numerator d y over denominator d x end fraction equals$

$x greater than 0 comma x to the power of y end exponent equals blank e to the power of x minus y end exponent blank rightwards double arrow blank fraction numerator d y over denominator d x end fraction equals$

If f: R $not stretchy rightwards arrow$ R is an even function having derivatives of all orders, then an odd function among the following is

If f: R $not stretchy rightwards arrow$ R is an even function having derivatives of all orders, then an odd function among the following is

If f: R $not stretchy rightwards arrow$ R is an even function which is twice differentiable on R and $f to the power of ´ ´ end exponent open parentheses pi close parentheses equals$

If f: R $not stretchy rightwards arrow$ R is an even function which is twice differentiable on R and $f to the power of ´ ´ end exponent open parentheses pi close parentheses equals$

parallel

Half life of $B i to the power of 210 end exponent$ is 5 days. If we start with 50,000
atoms of this isotope, the number of atoms left over after 10
days is

Half life of $B i to the power of 210 end exponent$ is 5 days. If we start with 50,000
atoms of this isotope, the number of atoms left over after 10
days is

Physics-General

If radius of the $scriptbase A l end scriptbase presubscript 13 end presubscript presuperscript 27 end presuperscript$ nucleus is estimated to be 3.6 Fermi then the radius of $scriptbase T e end scriptbase presubscript 52 end presubscript presuperscript 125 end presuperscript$ nucleus be nearly

If radius of the $scriptbase A l end scriptbase presubscript 13 end presubscript presuperscript 27 end presuperscript$ nucleus is estimated to be 3.6 Fermi then the radius of $scriptbase T e end scriptbase presubscript 52 end presubscript presuperscript 125 end presuperscript$ nucleus be nearly

Physics-General

In any fission process the ratio $fraction numerator text mass of fission products end text over denominator text mass of parent nucleus end text end fraction$ is

In any fission process the ratio $fraction numerator text mass of fission products end text over denominator text mass of parent nucleus end text end fraction$ is

Physics-General

parallel

The nuclear reaction $2 H plus to the power of 2 end exponent H rightwards arrow to the power of 4 end exponent H e$ (mass of deuteron = 2.0141 a.m.u. and mass of He = 4.0024 a.m.u.) is

The nuclear reaction $2 H plus to the power of 2 end exponent H rightwards arrow to the power of 4 end exponent H e$ (mass of deuteron = 2.0141 a.m.u. and mass of He = 4.0024 a.m.u.) is

Physics-General

The average number of prompt neutrons produced per fission of $U to the power of 235 end exponent$ is

The average number of prompt neutrons produced per fission of $U to the power of 235 end exponent$ is

Physics-General

In a nuclear fission reaction

In a nuclear fission reaction

Physics-General

parallel

Figure given below shows two identical parallel plate capacitors connected to a battery with switch $S$ closed. The switch is now opened and the free space between the plate of capacitors is filled with a dielectric of dielectric constant 3. What will be the ratio of total electrostatic energy stored in both capacitors before and after the introduction of the dielectric

Figure given below shows two identical parallel plate capacitors connected to a battery with switch $S$ closed. The switch is now opened and the free space between the plate of capacitors is filled with a dielectric of dielectric constant 3. What will be the ratio of total electrostatic energy stored in both capacitors before and after the introduction of the dielectric

Physics-General

In the figure below, what is the potential difference between the point A and B and between B and C respectively in steady stat

In the figure below, what is the potential difference between the point A and B and between B and C respectively in steady stat

Physics-General

An infinite number of identical capacitors each of capacitance $1 mu F$ are connected as in adjoining figure. Then the equivalent capacitance between $A$ and $B$ is

An infinite number of identical capacitors each of capacitance $1 mu F$ are connected as in adjoining figure. Then the equivalent capacitance between $A$ and $B$ is

Physics-General

parallel

Five identical plates each of area A are joined as shown in the figure. The distance between the plates is d. The plates are connected to a potential difference of $V v o l t s$ . The charge on plates 1 and 4 will be

Five identical plates each of area A are joined as shown in the figure. The distance between the plates is d. The plates are connected to a potential difference of $V v o l t s$ . The charge on plates 1 and 4 will be

Physics-General

A charged particle q is shot towards another charged particle Q which is fixed, with a speed $nu$ . It approaches Q upto a closest distance r and then returns. If q were given a speed $2 nu$ , the closest distances of approach would be

A charged particle q is shot towards another charged particle Q which is fixed, with a speed $nu$ . It approaches Q upto a closest distance r and then returns. If q were given a speed $2 nu$ , the closest distances of approach would be

Physics-General

Six charges, three positive and three negative of equal magnitude are to be placed at the vertices of a regular hexagon such that the electric field at O is double the electric field when only one positive charge of same magnitude is placed at R. Which of the following arrangements of charges is possible for P, Q, R, S, T and U respectively

Six charges, three positive and three negative of equal magnitude are to be placed at the vertices of a regular hexagon such that the electric field at O is double the electric field when only one positive charge of same magnitude is placed at R. Which of the following arrangements of charges is possible for P, Q, R, S, T and U respectively

Physics-General

parallel

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