Maths-
General
Easy

Question

The two Circles below are concentric, the radius of the larger Circle is 10 cm and that of the smaller Circle is 6cm. What is the length of the chord AB ?

  1. 14 cm    
  2. 12 cm    
  3. 16 cm    
  4. 18 cm    

The correct answer is: 16 cm

Related Questions to study

General
maths-

Given O is center of smaller Circle, BD is common chord, ABC, EDO are straight lines. If AED =130°, then C O D =

Given O is center of smaller Circle, BD is common chord, ABC, EDO are straight lines. If AED =130°, then C O D =

maths-General
General
maths-

In the figure x y z=

In the figure x y z=

maths-General
General
maths-

From the figure left floor P B R equals

From the figure left floor P B R equals

maths-General
parallel
General
Maths-

In the fig. ‘O’ is the centre of Circle. Chords AC and BD intersect at right angles at E, if stack ∣ O A B with _ below= 35° then left floor E B C equals

In the fig. ‘O’ is the centre of Circle. Chords AC and BD intersect at right angles at E, if stack ∣ O A B with _ below= 35° then left floor E B C equals

Maths-General
General
chemistry-

About 2 to 5% of gypsum left parenthesis C a S O subscript 4.2 H subscript 2 O right parenthesis is added to Portland cement. It is just to

About 2 to 5% of gypsum left parenthesis C a S O subscript 4.2 H subscript 2 O right parenthesis is added to Portland cement. It is just to

chemistry-General
General
Maths-

If sec to the power of 4 space theta plus sec squared space theta equals 10 plus tan to the power of 4 space theta plus tan squared space theta text  then  end text sin squared text end text theta =

If sec to the power of 4 space theta plus sec squared space theta equals 10 plus tan to the power of 4 space theta plus tan squared space theta text  then  end text sin squared text end text theta =

Maths-General
parallel
General
biology

Osmosis is the phenomenon expressed by :

Osmosis is the phenomenon expressed by :

biologyGeneral
General
Maths-

If 4 n alpha equals pi comma then the numerical value of tan space alpha tan space 2 alpha tan space 3 alpha horizontal ellipsis horizontal ellipsis tan space left parenthesis 2 n minus 1 right parenthesis alpha is equal to

4 n minus alpha equals pi rightwards double arrow alpha equals fraction numerator pi over denominator 4 n end fraction
n equals tan alpha. tan 2 alpha. tan 3 alpha....... tan left parenthesis 2 n minus 1 right parenthesis alpha
A s comma space left parenthesis 2 n minus 1 right parenthesis alpha equals 2 n alpha minus alpha equals pi over 2 minus alpha
tan left parenthesis 2 n minus 1 right parenthesis alpha equals tan open parentheses pi over 2 minus alpha close parentheses equals c o t space alpha
tan left parenthesis 2 n minus 2 right parenthesis alpha equals tan open parentheses pi over 2 minus 2 alpha close parentheses equals c o t space 2 alpha
S o comma space n equals tan alpha. tan 2 alpha. tan 3 alpha....... tan left parenthesis 2 n minus 1 right parenthesis alpha
equals tan alpha. tan 2 alpha. tan 3 alpha.... c o t space 3 alpha. c o t 2 alpha. c o t alpha
equals left parenthesis tan alpha. c o t alpha right parenthesis left parenthesis tan 2 alpha. c o t alpha right parenthesis left parenthesis tan 3 alpha. c o t 3 alpha right parenthesis......
equals 1.1.1....
equals 1

If 4 n alpha equals pi comma then the numerical value of tan space alpha tan space 2 alpha tan space 3 alpha horizontal ellipsis horizontal ellipsis tan space left parenthesis 2 n minus 1 right parenthesis alpha is equal to

Maths-General
4 n minus alpha equals pi rightwards double arrow alpha equals fraction numerator pi over denominator 4 n end fraction
n equals tan alpha. tan 2 alpha. tan 3 alpha....... tan left parenthesis 2 n minus 1 right parenthesis alpha
A s comma space left parenthesis 2 n minus 1 right parenthesis alpha equals 2 n alpha minus alpha equals pi over 2 minus alpha
tan left parenthesis 2 n minus 1 right parenthesis alpha equals tan open parentheses pi over 2 minus alpha close parentheses equals c o t space alpha
tan left parenthesis 2 n minus 2 right parenthesis alpha equals tan open parentheses pi over 2 minus 2 alpha close parentheses equals c o t space 2 alpha
S o comma space n equals tan alpha. tan 2 alpha. tan 3 alpha....... tan left parenthesis 2 n minus 1 right parenthesis alpha
equals tan alpha. tan 2 alpha. tan 3 alpha.... c o t space 3 alpha. c o t 2 alpha. c o t alpha
equals left parenthesis tan alpha. c o t alpha right parenthesis left parenthesis tan 2 alpha. c o t alpha right parenthesis left parenthesis tan 3 alpha. c o t 3 alpha right parenthesis......
equals 1.1.1....
equals 1
General
Maths-

3 tan to the power of 6 space 10 to the power of ring operator minus 27 tan to the power of 4 space 10 to the power of ring operator plus 33 tan squared space 10 to the power of ring operator space=

3 tan to the power of 6 space 10 to the power of ring operator minus 27 tan to the power of 4 space 10 to the power of ring operator plus 33 tan squared space 10 to the power of ring operator
A s comma space tan space 30 degree equals fraction numerator 1 over denominator square root of 3 end fraction
rightwards double arrow tan 3 left parenthesis 10 degree right parenthesis equals fraction numerator 1 over denominator square root of 3 end fraction
space rightwards double arrow fraction numerator left parenthesis 3 tan 10 degree minus tan cubed 10 degree right parenthesis over denominator left parenthesis 1 minus 3 tan squared 10 degree right parenthesis end fraction equals fraction numerator 1 over denominator square root of 3 end fraction
S q u a r i n g space b o t h space s i d e s comma space w e space g e t colon
rightwards double arrow left parenthesis 3 tan 10 degree minus tan cubed 10 degree right parenthesis squared over left parenthesis 1 minus 3 tan squared 10 degree right parenthesis squared equals 1 third
rightwards double arrow fraction numerator 9 tan squared 10 degree minus 6 tan to the power of 4 10 degree plus tan to the power of 6 10 degree over denominator 1 minus 6 tan squared 10 degree plus 9 tan to the power of 4 10 degree end fraction equals 1 third
rightwards double arrow 27 tan squared 10 degree minus 18 tan to the power of 4 10 degree plus 3 tan to the power of 6 10 degree equals 1 minus 6 tan squared 10 degree plus 9 tan to the power of 4 10 degree
rightwards double arrow 3 tan to the power of 6 space 10 to the power of ring operator minus 27 tan to the power of 4 space 10 to the power of ring operator plus 33 tan squared space 10 to the power of ring operator equals 1

3 tan to the power of 6 space 10 to the power of ring operator minus 27 tan to the power of 4 space 10 to the power of ring operator plus 33 tan squared space 10 to the power of ring operator space=

Maths-General
3 tan to the power of 6 space 10 to the power of ring operator minus 27 tan to the power of 4 space 10 to the power of ring operator plus 33 tan squared space 10 to the power of ring operator
A s comma space tan space 30 degree equals fraction numerator 1 over denominator square root of 3 end fraction
rightwards double arrow tan 3 left parenthesis 10 degree right parenthesis equals fraction numerator 1 over denominator square root of 3 end fraction
space rightwards double arrow fraction numerator left parenthesis 3 tan 10 degree minus tan cubed 10 degree right parenthesis over denominator left parenthesis 1 minus 3 tan squared 10 degree right parenthesis end fraction equals fraction numerator 1 over denominator square root of 3 end fraction
S q u a r i n g space b o t h space s i d e s comma space w e space g e t colon
rightwards double arrow left parenthesis 3 tan 10 degree minus tan cubed 10 degree right parenthesis squared over left parenthesis 1 minus 3 tan squared 10 degree right parenthesis squared equals 1 third
rightwards double arrow fraction numerator 9 tan squared 10 degree minus 6 tan to the power of 4 10 degree plus tan to the power of 6 10 degree over denominator 1 minus 6 tan squared 10 degree plus 9 tan to the power of 4 10 degree end fraction equals 1 third
rightwards double arrow 27 tan squared 10 degree minus 18 tan to the power of 4 10 degree plus 3 tan to the power of 6 10 degree equals 1 minus 6 tan squared 10 degree plus 9 tan to the power of 4 10 degree
rightwards double arrow 3 tan to the power of 6 space 10 to the power of ring operator minus 27 tan to the power of 4 space 10 to the power of ring operator plus 33 tan squared space 10 to the power of ring operator equals 1
parallel
General
Maths-

sin space 20 to the power of ring operator open parentheses 4 plus sec space 20 to the power of ring operator close parentheses =

space space space space space sin space 20 to the power of ring operator open parentheses 4 plus sec space 20 to the power of ring operator close parentheses
equals 4 sin space 20 degree plus fraction numerator sin space 20 degree over denominator cos space 20 degree end fraction
equals fraction numerator 4 sin 20 degree. cos 20 degree plus sin space 20 degree over denominator cos space 20 degree end fraction
equals fraction numerator 2 left parenthesis 2 sin space 20 degree. cos space 20 degree right parenthesis plus sin space 20 degree over denominator cos space 20 degree end fraction
equals fraction numerator 2 sin space 40 degree plus sin space 20 degree over denominator cos space 20 degree end fraction
equals fraction numerator 2 sin space left parenthesis 60 minus 20 right parenthesis degree plus sin space 20 degree over denominator cos space 20 degree end fraction
equals fraction numerator 2 open parentheses sin space 60 degree cos space 20 degree minus cos space 60 degree sin space 20 degree close parentheses plus sin space 20 degree over denominator cos space 20 degree end fraction
equals fraction numerator 2 open parentheses begin display style fraction numerator square root of 3 over denominator 2 end fraction end style cos space 20 degree minus begin display style 1 half end style sin space 20 degree close parentheses plus sin space 20 degree over denominator cos space 20 degree end fraction
equals fraction numerator square root of 3 cos space 20 degree minus sin space 20 degree plus sin space 20 degree over denominator cos space 20 degree end fraction
equals fraction numerator square root of 3 cos space 20 degree over denominator cos space 20 degree end fraction
equals square root of 3

sin space 20 to the power of ring operator open parentheses 4 plus sec space 20 to the power of ring operator close parentheses =

Maths-General
space space space space space sin space 20 to the power of ring operator open parentheses 4 plus sec space 20 to the power of ring operator close parentheses
equals 4 sin space 20 degree plus fraction numerator sin space 20 degree over denominator cos space 20 degree end fraction
equals fraction numerator 4 sin 20 degree. cos 20 degree plus sin space 20 degree over denominator cos space 20 degree end fraction
equals fraction numerator 2 left parenthesis 2 sin space 20 degree. cos space 20 degree right parenthesis plus sin space 20 degree over denominator cos space 20 degree end fraction
equals fraction numerator 2 sin space 40 degree plus sin space 20 degree over denominator cos space 20 degree end fraction
equals fraction numerator 2 sin space left parenthesis 60 minus 20 right parenthesis degree plus sin space 20 degree over denominator cos space 20 degree end fraction
equals fraction numerator 2 open parentheses sin space 60 degree cos space 20 degree minus cos space 60 degree sin space 20 degree close parentheses plus sin space 20 degree over denominator cos space 20 degree end fraction
equals fraction numerator 2 open parentheses begin display style fraction numerator square root of 3 over denominator 2 end fraction end style cos space 20 degree minus begin display style 1 half end style sin space 20 degree close parentheses plus sin space 20 degree over denominator cos space 20 degree end fraction
equals fraction numerator square root of 3 cos space 20 degree minus sin space 20 degree plus sin space 20 degree over denominator cos space 20 degree end fraction
equals fraction numerator square root of 3 cos space 20 degree over denominator cos space 20 degree end fraction
equals square root of 3
General
Maths-

In the figure P Q greater than P R comma QS and RS are the bisectors of stack ∣ Q with _ below and stack R with _ below respectively then


PQ>PR
=anglePRQ>anglePQR           [angle opposite to the longer side of triangle is greater]
=1/2 anglePRQ> 1/2anglePQR
=angleSRQ>angleSQR           [as QR is the bisector of anglePQR and RS is the bisector of anglePRQ]
= SQ>SR             [as side opposite to greater angle is greatest]
So, SQ>SR

In the figure P Q greater than P R comma QS and RS are the bisectors of stack ∣ Q with _ below and stack R with _ below respectively then

Maths-General

PQ>PR
=anglePRQ>anglePQR           [angle opposite to the longer side of triangle is greater]
=1/2 anglePRQ> 1/2anglePQR
=angleSRQ>angleSQR           [as QR is the bisector of anglePQR and RS is the bisector of anglePRQ]
= SQ>SR             [as side opposite to greater angle is greatest]
So, SQ>SR
General
Maths-

If AB=AC and A C D equals 115 to the power of ring operator end exponent then stack B with _ below A C equals

If AB=AC and A C D equals 115 to the power of ring operator end exponent then stack B with _ below A C equals

Maths-General
parallel
General
Maths-

In the figure A equals 30 to the power of ring operator end exponent & E B equals 50 to the power of ring operator end exponent then ACD=

In the figure A equals 30 to the power of ring operator end exponent & E B equals 50 to the power of ring operator end exponent then ACD=

Maths-General
General
Maths-

open parentheses sin to the power of 8 space 75 to the power of ring operator minus cos to the power of 8 space 75 to the power of ring operator close parentheses =

space space space open parentheses sin to the power of 8 space 75 to the power of ring operator minus cos to the power of 8 space 75 to the power of ring operator close parentheses
equals sin to the power of 8 open parentheses 90 minus 15 close parentheses degree minus cos to the power of 8 left parenthesis 90 minus 15 right parenthesis degree
equals cos to the power of 8 15 degree minus sin to the power of 8 15 degree
equals open parentheses cos to the power of 4 15 degree plus sin to the power of 4 15 degree close parentheses open parentheses cos to the power of 4 15 degree minus sin to the power of 4 15 degree close parentheses
equals open parentheses open parentheses cos squared 15 degree plus sin squared 15 degree close parentheses squared minus 2 sin squared 15 degree. cos squared space 15 degree close parentheses open parentheses cos squared 15 degree plus sin squared 15 degree close parentheses open parentheses cos squared 15 degree minus sin squared 15 degree close parentheses
equals open parentheses 1 minus open parentheses 2 sin space 15 degree. cos 15 degree close parentheses squared over 2 close parentheses 1 cross times cos open parentheses 2 cross times 15 close parentheses degree
equals open parentheses 1 minus fraction numerator s i n squared 30 degree over denominator 2 end fraction close parentheses cos space 30 degree
equals open parentheses 1 minus 1 over 8 close parentheses fraction numerator square root of 3 over denominator 2 end fraction
equals 7 over 8. fraction numerator square root of 3 over denominator 2 end fraction
equals fraction numerator 7 square root of 3 over denominator 16 end fraction

open parentheses sin to the power of 8 space 75 to the power of ring operator minus cos to the power of 8 space 75 to the power of ring operator close parentheses =

Maths-General
space space space open parentheses sin to the power of 8 space 75 to the power of ring operator minus cos to the power of 8 space 75 to the power of ring operator close parentheses
equals sin to the power of 8 open parentheses 90 minus 15 close parentheses degree minus cos to the power of 8 left parenthesis 90 minus 15 right parenthesis degree
equals cos to the power of 8 15 degree minus sin to the power of 8 15 degree
equals open parentheses cos to the power of 4 15 degree plus sin to the power of 4 15 degree close parentheses open parentheses cos to the power of 4 15 degree minus sin to the power of 4 15 degree close parentheses
equals open parentheses open parentheses cos squared 15 degree plus sin squared 15 degree close parentheses squared minus 2 sin squared 15 degree. cos squared space 15 degree close parentheses open parentheses cos squared 15 degree plus sin squared 15 degree close parentheses open parentheses cos squared 15 degree minus sin squared 15 degree close parentheses
equals open parentheses 1 minus open parentheses 2 sin space 15 degree. cos 15 degree close parentheses squared over 2 close parentheses 1 cross times cos open parentheses 2 cross times 15 close parentheses degree
equals open parentheses 1 minus fraction numerator s i n squared 30 degree over denominator 2 end fraction close parentheses cos space 30 degree
equals open parentheses 1 minus 1 over 8 close parentheses fraction numerator square root of 3 over denominator 2 end fraction
equals 7 over 8. fraction numerator square root of 3 over denominator 2 end fraction
equals fraction numerator 7 square root of 3 over denominator 16 end fraction
General
Maths-

If tan space alpha equals fraction numerator 1 over denominator square root of x open parentheses x squared plus x plus 1 close parentheses end root end fraction comma tan space beta equals fraction numerator square root of x over denominator square root of x squared plus x plus 1 end root end fraction and tan space gamma equals square root of x to the power of negative 3 end exponent plus x to the power of negative 2 end exponent plus x to the power of negative 1 end exponent end root then alpha plus beta =

tan space alpha equals fraction numerator 1 over denominator square root of x open parentheses x squared plus x plus 1 close parentheses end root end fraction comma space tan space beta equals fraction numerator square root of x over denominator square root of x squared plus x plus 1 end root end fraction space a n d space tan space gamma equals square root of x to the power of negative 3 end exponent plus x to the power of negative 2 end exponent plus x to the power of negative 1 end exponent end root
space space space space tan space left parenthesis alpha plus beta right parenthesis
equals fraction numerator tan space alpha plus tan space beta over denominator 1 minus tan space alpha. tan space beta end fraction
equals fraction numerator fraction numerator 1 over denominator square root of x open parentheses x squared plus x plus 1 close parentheses end root end fraction plus fraction numerator square root of x over denominator square root of x squared plus x plus 1 end root end fraction over denominator 1 minus fraction numerator 1 over denominator square root of x open parentheses x squared plus x plus 1 close parentheses end root end fraction. fraction numerator square root of x over denominator square root of x squared plus x plus 1 end root end fraction end fraction
equals fraction numerator square root of x squared plus x plus 1 end root plus x square root of x squared plus x plus 1 end root over denominator square root of x left parenthesis x squared plus x plus 1 right parenthesis minus square root of x end fraction
equals fraction numerator open parentheses x plus 1 close parentheses square root of x squared plus x plus 1 end root over denominator square root of x open parentheses x squared plus x plus 1 minus 1 close parentheses end fraction
equals fraction numerator left parenthesis x plus 1 right parenthesis square root of x squared plus x plus 1 end root over denominator x square root of x open parentheses x plus 1 close parentheses end fraction
equals fraction numerator square root of x squared plus x plus 1 end root over denominator square root of x cubed end root end fraction
equals square root of fraction numerator x squared plus x plus 1 over denominator x cubed end fraction end root
equals square root of 1 over x plus 1 over x squared plus 1 over x cubed end root
equals square root of x to the power of negative 3 end exponent plus x to the power of negative 2 end exponent plus x to the power of negative 1 end exponent end root
equals tan space gamma
A s comma space tan space left parenthesis alpha plus beta right parenthesis equals tan space gamma
rightwards double arrow alpha plus beta equals gamma

If tan space alpha equals fraction numerator 1 over denominator square root of x open parentheses x squared plus x plus 1 close parentheses end root end fraction comma tan space beta equals fraction numerator square root of x over denominator square root of x squared plus x plus 1 end root end fraction and tan space gamma equals square root of x to the power of negative 3 end exponent plus x to the power of negative 2 end exponent plus x to the power of negative 1 end exponent end root then alpha plus beta =

Maths-General
tan space alpha equals fraction numerator 1 over denominator square root of x open parentheses x squared plus x plus 1 close parentheses end root end fraction comma space tan space beta equals fraction numerator square root of x over denominator square root of x squared plus x plus 1 end root end fraction space a n d space tan space gamma equals square root of x to the power of negative 3 end exponent plus x to the power of negative 2 end exponent plus x to the power of negative 1 end exponent end root
space space space space tan space left parenthesis alpha plus beta right parenthesis
equals fraction numerator tan space alpha plus tan space beta over denominator 1 minus tan space alpha. tan space beta end fraction
equals fraction numerator fraction numerator 1 over denominator square root of x open parentheses x squared plus x plus 1 close parentheses end root end fraction plus fraction numerator square root of x over denominator square root of x squared plus x plus 1 end root end fraction over denominator 1 minus fraction numerator 1 over denominator square root of x open parentheses x squared plus x plus 1 close parentheses end root end fraction. fraction numerator square root of x over denominator square root of x squared plus x plus 1 end root end fraction end fraction
equals fraction numerator square root of x squared plus x plus 1 end root plus x square root of x squared plus x plus 1 end root over denominator square root of x left parenthesis x squared plus x plus 1 right parenthesis minus square root of x end fraction
equals fraction numerator open parentheses x plus 1 close parentheses square root of x squared plus x plus 1 end root over denominator square root of x open parentheses x squared plus x plus 1 minus 1 close parentheses end fraction
equals fraction numerator left parenthesis x plus 1 right parenthesis square root of x squared plus x plus 1 end root over denominator x square root of x open parentheses x plus 1 close parentheses end fraction
equals fraction numerator square root of x squared plus x plus 1 end root over denominator square root of x cubed end root end fraction
equals square root of fraction numerator x squared plus x plus 1 over denominator x cubed end fraction end root
equals square root of 1 over x plus 1 over x squared plus 1 over x cubed end root
equals square root of x to the power of negative 3 end exponent plus x to the power of negative 2 end exponent plus x to the power of negative 1 end exponent end root
equals tan space gamma
A s comma space tan space left parenthesis alpha plus beta right parenthesis equals tan space gamma
rightwards double arrow alpha plus beta equals gamma
parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.