Tag: maths

Questions Related to maths

The value of $p$ if $\dfrac 3p+\dfrac 4p=1$

maths solving equations numerically finding roots by iteration fundamental theorem of algebra complex numbers and linear inequations

  1. 7

  2. 3

  3. 4

  4. 1

Show answer
Correct Option: A
Explanation:

$\dfrac 3p+\dfrac 4p=1\3+4=p\p=7$

Simplify $(3x-11y) -(17x+13y)$ and choose the right answer. 

maths solving equations numerically finding roots by iteration fundamental theorem of algebra complex numbers and linear inequations

  1. $7x - 12y$

  2. $14x - 54y$

  3. $-3 (5x-4y)$

  4. $-2 (7x+12y)$

Show answer
Correct Option: D
Explanation:
$\left(3x-11y\right)-\left(17x+13y\right)$

$=3x-11y-17x-13y$

$=-14x-24y$

$=-2\left(7x+12y\right)$

Solve $\frac { 7 y + 4 } { y + 2 } = \frac { - 4 } { 3 }$

maths solving equations numerically finding roots by iteration fundamental theorem of algebra complex numbers and linear inequations

  1. -4$/ 5$

  2. 5$/9$

  3. -9$/2$

  4. 4$/5$

Show answer
Correct Option: A
Explanation:

Given $\dfrac{7 y+4}{y+2}=\dfrac{-4}{3}$

$\implies 3(7 y+4)=-4(y+2)$
$\implies 21 y+12=-4{y}-8$
$\implies 25 y=-20$
$\implies y=\dfrac{-20}{25}$
$\implies y=-\dfrac{4}{5}$

The product of $\left( { 23 x }^{ 2 }{ y }^{ 2 }z \right)$ and $\left( -15{ x }^{ 3 }{ yz }^{ 2 } \right) $ is .........................  .

maths solving equations numerically finding roots by iteration fundamental theorem of algebra complex numbers and linear inequations

  1. $-345 { x }^{ 5 } { y }^{ 3 } { z }^{ 3 }$

  2. $345 { x }^{ 2 } { y }^{ 2 } { z }^{ 3 }$

  3. $145 { x }^{ 2 } { y }^{ 2 } { z }^{ 3 }$

  4. $170 { x }^{ 2 } { y }^{ 2 } { z }^{ 3 }$

Show answer
Correct Option: A
Explanation:
$\left(23{x}^{2}{y}^{2}z\right)\times\left(-15{x}^{3}y{z}^{2}\right)$
$=-345‬{x}^{2+3}{y}^{2+1}{z}^{1+2}$
$=-345{x}^{5}{y}^{3}{z}^{3}$

The number of integers (positive, negative or zero) solutions of
$xy-6(x+y)=0$ with x is less than or equal to y is:

maths solving equations numerically finding roots by iteration fundamental theorem of algebra complex numbers and linear inequations

  1. 5

  2. 10

  3. 12

  4. none of these

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Correct Option: A

The degree of polynomial $p(x)=x^ {2}-3x-4x^ {3}-6$ is

maths solving equations numerically finding roots by iteration fundamental theorem of algebra complex numbers and linear inequations

  1. $2$

  2. $1$

  3. $3$

  4. $6$

Show answer
Correct Option: C
Explanation:

Given : $p{\left( x \right)} = {x}^{2} - 3x - 4 {x}^{3} - 6$


Since the greatest exponent in $p{\left( x \right)}$ is $3$, thus the degree of $p{\left( x \right)}$ is $3$.

The method of finding solution by trying out various values for the variable is called

maths solving equations numerically finding roots by iteration fundamental theorem of algebra complex numbers and linear inequations

  1. Rrror method

  2. Trial and error method

  3. Testing method

  4. Checking method

Show answer
Correct Option: B
Explanation:

The required method is called "Trial and error method"

If $a\times b=\frac {a}{b}+\frac {b}{a}-ab$, then the value of $1^*2$ is

maths solving equations numerically finding roots by iteration fundamental theorem of algebra complex numbers and linear inequations

  1. 2

  2. 1/2

  3. 2/3

  4. 1

Show answer
Correct Option: B
Explanation:

$1^*2=\frac {1}{2}+\frac {2}{1}-1\times 2=\frac {1+4-4}{2}=\frac {1}{2}$

If $(8x)^2 + (6x)^2 = d^2$ and $d = 200$, then $8x \times 6x$ is equal to

maths solving equations numerically finding roots by iteration fundamental theorem of algebra complex numbers and linear inequations

  1. 18,200

  2. 18,500

  3. 18,900

  4. 19,200

Show answer
Correct Option: D
Explanation:

$(8x)^2+(6x)^2=d^2$
or $64x^2+36x^2=d^2$
or $100x^2=d^2$
or $d=\sqrt {100x^2}=10x$
$10x=200$
$\therefore x=\frac {200}{10}=20$
Hence, $8x\times 6x=8\times 20\times 6\times 20=19,200$

If $2\pi rh = 2\pi r^2$ and $h = 5$, then r is equal to

maths solving equations numerically finding roots by iteration fundamental theorem of algebra complex numbers and linear inequations

  1. 5

  2. 110

  3. 15

  4. 12

Show answer
Correct Option: A
Explanation:

$2\pi r h=2\pi r^2$
$2\pi \times r\times 5=2\pi r^2$ or $r=5$