Tag: maths

Questions Related to maths

   Subtract $2536$ from $4162$ using Ekanyunena purvena and Param Mitra Ank 

addition and subtraction vedic methods of multiplication vedic mathematics history of mathematics maths

  1. 1568

  2. 1126

  3. 1626

  4. 1965

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Correct Option: C

Subtract $17964$ from $24892$ using Ekhadhikena Purvena and Param Mitra Ank

addition and subtraction vedic methods of multiplication vedic mathematics history of mathematics maths

  1. $6982$

  2. $7982$

  3. $8982$

  4. $5682$

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Correct Option: C

In $523$ Ekanyunena Purvena of digit $2$ is?

addition and subtraction vedic methods of multiplication vedic mathematics history of mathematics maths

  1. $123$

  2. $323$

  3. $423$

  4. $623$

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Correct Option: C

 In $47$ Ekadhikena Purvena of digit $7$ is

addition and subtraction vedic methods of multiplication vedic mathematics history of mathematics maths

  1. $57$

  2. $48$

  3. $46$

  4. $37$

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Correct Option: A

State true or false.
Sector is the region between the chord and its corresponding arc.

maths circle and its elements angle subtended by arc sector of a circle arcs and sectors

  1. True

  2. False

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Correct Option: B
Explanation:

Sector is the region between an arc and two radii joining. The centre to the end points of the arc.

False.

$r$ is the radius and $l$  is the length of an arc. The area of a sector is ______.

maths circle and its elements angle subtended by arc sector of a circle arcs and sectors

  1. $\dfrac { 1 } { 2 } r l$

  2. $\dfrac { 3 } { 2 } r ^ { 2 } l$

  3. $\dfrac { 4 } { 3 } r l$

  4. $\dfrac { 3 } { 2 } r l$

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Correct Option: A
Explanation:

$\begin{array}{l} Area\, of\, a\, \sec  tor\, =\dfrac { 1 }{ 2 } { r^{ 2 } }\theta  \ =\dfrac { 1 }{ 2 } \times r\times r\theta  \ =\dfrac { 1 }{ 2 } \times r\times l \ Hence,\, option\, A\, is\, \, the\, \, correct\, \, answer. \end{array}$

State true or false:


Sector is the region between the chord and its corresponding arc.

maths circle and its elements angle subtended by arc sector of a circle arcs and sectors

  1. False

  2. True 

  3. cannot be determined

  4. none of the above

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Correct Option: A
Explanation:

Segment is the region between the chord and its corresponding arc.

Say true or false:

A sector is a region between the chord and its corresponding arc.

maths circle and its elements angle subtended by arc sector of a circle arcs and sectors

  1. True

  2. False

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Correct Option: B
Explanation:

False.
The region between an arc and the two radii, joining the centre to the end points of the arc is called a sector

A circular disc of radius $10 cm$ is divided into sectors with angles $120^o$ and $150^o$, then the ratio of the area of two sectors is

maths circle and its elements angle subtended by arc sector of a circle arcs and sectors

  1. $4 : 5$

  2. $5 : 4$

  3. $2 : 1$

  4. $8 : 7$

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Correct Option: A
Explanation:

Area of sector formed from angle $\theta=\dfrac{\theta}{360^\circ}\pi r^2$, where $r$ is the radius of the circle
Now, if angle is $120^\circ$, $150^\circ$ then the ratio of area of sector will be

$\Rightarrow\dfrac{\dfrac{120^\circ}{360^\circ}\pi r^2}{\dfrac{150^\circ}{360^\circ}\pi r^2}$

$\Rightarrow \dfrac{4}{5}$
Hence, the required ratio is $4:5$. 

The region between an arc and two radii joining the centre to the end points of the arc is called

maths circle and its elements angle subtended by arc sector of a circle arcs and sectors

  1. sector

  2. segment

  3. semicircle

  4. non of these

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Correct Option: A
Explanation:

The region between an arc and two radii joining the center to the end points of the arc is called sector.The minor are corresponds to minor sector  and  major arc correspond to major sector.