Tag: maths

Questions Related to maths

$\displaystyle 96^{0}$ is an example of-

maths construction of angles identifying angles acute and obtuse angles types of angle

  1. Acute

  2. Obtuse

  3. Right

  4. None of these

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Correct Option: B
Explanation:

obtuse angles are those angles which are greater than 90 degrees and less than 180 degrees..

so,96 degrees is an example of obtuse angle.. 

An angle which measures $\displaystyle 180^{0}$ is called-

maths construction of angles identifying angles acute and obtuse angles types of angle

  1. Acute

  2. Right

  3. Zero

  4. None of these

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Correct Option: D
Explanation:

an angle which measures 180 degrees is calles straight angle..

$\displaystyle 170^{0}$ is an example of-

maths construction of angles identifying angles acute and obtuse angles types of angle

  1. Acute

  2. Right

  3. Obtuse

  4. None of these

Show answer
Correct Option: C
Explanation:

angles greater than 90 degrees and less than 180 degrees are known as obtuse angles..

hence 170 degrees is an example of obtuse angle..

An angle which measures more than $\displaystyle 0^{0}$ and less than $\displaystyle 90^{0}$ is called-

maths construction of angles identifying angles acute and obtuse angles types of angle

  1. Obtuse

  2. Right

  3. Acute

  4. None of these

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Correct Option: C
Explanation:

an angle which measures more than 0 degree and less than 90 degree is called an acute angle..

What is the acute angle between the lines y = 3x + 2 and y = 4x + 9?

maths construction of angles identifying angles acute and obtuse angles types of angle

  1. 4.4$\displaystyle ^{\circ}$

  2. 28.3$\displaystyle ^{\circ}$

  3. 5.2$\displaystyle ^{\circ}$

  4. 18.6$\displaystyle ^{\circ}$

  5. none of these

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Correct Option: A
Explanation:

$y=3x+2$

$m _1=3$
$=>tan\theta _1=3$
$=>\theta _1=tan^{-1}(3)$
$=>\theta _1=71.57^{0}$
Again,
$y=4x+9$
$=>m _2=4$
$=>tan\theta _2=4$
$=>\theta _2=tan^{1}(4)$
$=>\theta _2=75.96^{0}$
$\therefore$ Angle between the lines
$=\theta _2-\theta _1$
$=75.96-71.56$
$=4.4^{0}$

An angle that is $\displaystyle  { 1 }^{ o }$ less than right angle is:

maths construction of angles identifying angles acute and obtuse angles types of angle

  1. Reflex angle

  2. Straight angle

  3. Obtuse angle

  4. Acute angle

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Correct Option: D
Explanation:

Right angle measures $\displaystyle  { 90 }^{ o }$
$\displaystyle  { 1 }^{ o }$ less of right angle = $\displaystyle { 90 }^{ o }-{ 1 }^{ o }$
$\displaystyle { 89 }^{ o }$
Which is an acute angle.

Acute angle is the angle which is greater than $\displaystyle { 0 }^{ o }$ and less than $\displaystyle { 90 }^{ o }$.

Obtuse angle is the angle which is greater than $\displaystyle { 90}^{ o }$ and less than $\displaystyle {180 }^{ o }$.
Right angle is the angle which is equal to $90^o$.
Reflex angle is the angle which is greater than $\displaystyle {180}^{ o }$ and less than $\displaystyle {360 }^{ o }$.

If the angle is greater than $\displaystyle { 0 }^{ o }$ and less than $\displaystyle { 90 }^{ o }$, then the angle is known as:

maths construction of angles identifying angles acute and obtuse angles types of angle

  1. Obtuse angle

  2. Right angle

  3. Acute angle

  4. Reflex angle

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Correct Option: C
Explanation:

Acute angle is the angle which is greater than $\displaystyle { 0 }^{ o }$ and less than $\displaystyle { 90 }^{ o }$.

Obtuse angle is the angle which is greater than $\displaystyle { 90}^{ o }$ and less than $\displaystyle {180 }^{ o }$.
Right angle is the angle which is equal to $90^o$.
Reflex angle is the angle which is greater than $\displaystyle {180}^{ o }$ and less than $\displaystyle {360 }^{ o }$.

The sum of two acute angles can be:

maths construction of angles identifying angles acute and obtuse angles types of angle

  1. Acute angles

  2. Obtuse angles

  3. Right angles

  4. All of the above

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Correct Option: D
Explanation:

Let one angle is $\displaystyle { 30 }^{ o }$ and the other angle is $\displaystyle { 40 }^{ o }$ then sum $\displaystyle { 70 }^{ o }$. which is an acute angle.
Let one angle be $\displaystyle { 70 }^{ o }$ and other angle is $\displaystyle { 80 }^{ o }$, then sum is $\displaystyle { 150 }^{ o }$ which is obtuse angle.
Let one angle is $\displaystyle { 45 }^{ o }$ and another angle is $\displaystyle { 45 }^{ o }$ then sum is $\displaystyle { 90 }^{ o }$ which is right angle.

Which of the following is obtuse angle?

maths construction of angles identifying angles acute and obtuse angles types of angle

  1. Two right angles

  2. One and half right angles

  3. One right angle

  4. Half a right angle

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Correct Option: B
Explanation:

Right angle $=90^{\circ}$

One and half right angle $=\dfrac { { 90 }^{ \circ  } }{ 2 } +{ 90 }^{ \circ  }={ 135 }^{ \circ  }$
which is greater than $90^{\circ}$
So it is an obtuse angle .
Option $B$ is correct.

Range of an obtuse angle is:

maths construction of angles identifying angles acute and obtuse angles types of angle

  1. $[0˚, 90˚)$

  2. $(0˚, 90˚]$

  3. $[90˚, 180˚)$

  4. $(90˚, 180˚)$

Show answer
Correct Option: D
Explanation:

Acute angle is the angle which is greater than $\displaystyle { 0 }^{ o }$ and less than $\displaystyle { 90 }^{ o }$.

Obtuse angle is the angle which is greater than $\displaystyle { 90}^{ o }$ and less than $\displaystyle {180 }^{ o }$.
Right angle is the angle which is equal to $90^o$.
Reflex angle is the angle which is greater than $\displaystyle {180}^{ o }$ and less than $\displaystyle {360 }^{ o }$.