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CBSE Class 10 Answered

P is a prime no. Find all possible integer solutions of the equation m²-n²=P
Asked by Sushil | 17 Apr, 2016, 02:42: PM
answered-by-expert Expert Answer
begin mathsize 12px style m squared minus n squared equals p rightwards double arrow open parentheses m minus n close parentheses open parentheses m plus n close parentheses equals p S i n c e comma space b o t h space m space a n d space n space a r e space i n t e g e r s comma space m minus n space s h o u l d space b e space apostrophe 1 apostrophe space f o r space t h e space p r o d u c t space t o space b e space p r i m e. m minus n equals 1 space left parenthesis c o n s e c u t i v e space i n t e g e r s right parenthesis rightwards double arrow m plus n equals p S o l v i n g space b o t h comma space w e space g e t m equals fraction numerator p plus 1 over denominator 2 end fraction space a n d space n equals fraction numerator p minus 1 over denominator 2 end fraction W h e r e space p equals 3 comma space 5 comma space 7 comma space 11 space e t c. left parenthesis N o t e colon space w e space d o space n o t space t a k e space 2 space a s space t h e r e space a r e space n o space t w o space c o n s e c u t i v e space i n t e g e r s space f o r space w h i c h space m plus n equals 2 right parenthesis end style
Answered by satyajit samal | 18 Apr, 2016, 02:47: PM

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CBSE 10 - Maths
A blacksmith has a rectangular sheet of iron. He has to make a cylindrical vessel both circular ends are closed. When he minimizes the wastage of the sheet of iron, then what is the ratio of the wastage to the utilised area of sheet?
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Asked by jagdishdabang79 | 18 Mar, 2024, 08:40: PM
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CBSE 10 - Maths
A square with perimeter p cm has more area than a circle with circumference p cm. State true or false with explanation
Asked by Trisha Gupta | 07 Oct, 2021, 03:48: PM
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CBSE 10 - Maths
if area of circle numricle double its perimeter find the radius of circle 4units
Asked by sohamsuryawanshi7824 | 22 Sep, 2020, 06:29: AM
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CBSE 10 - Maths
If a truck covers 2.2 km and each wheel makes 350 complete revolution.Find the radius of the wheel  
Asked by kibaisato00 | 04 Jul, 2020, 11:39: AM
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CBSE 10 - Maths
the forewheel of tractor makes 120 revolution more than the rear wheel in going 720m. if the diameter of the forewheel is doubled and the diameter of the rear wheel in increased by half times the present diameter then the forewheel makes 20 revolution more than the rear wheel in going the same distance find the circumference of each wheel
Asked by patil.gopi400 | 01 Jun, 2020, 10:18: PM
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CBSE 10 - Maths
Hello Sir, Please clarify my doubt 1) A wire is in the form of a square of side121cm.It is cut and made into the shape of a circle.Find the diameter of the circle. 2) a wire is in the form of a triangle of sides 28cm,26cm and 30cm.The wire is cut and made into a circle.Will the area of the circle be the same as that of the triangle? Thank You.
Asked by seeni2005 | 24 Nov, 2019, 03:48: PM
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CBSE 10 - Maths
Hello sir, please explain the questions that follow: 1) Find the width of the race track which is of a ring shape if the inner circumference is 528m and the outer circumference is 616m. 2) A wire is in the form of a square of side121cm.It is cut and made into the shape of a circle.Find the diameter of the circle. 3) a wire is in the form of a triangle of sides 28cm,26cm and 30cm.The wire is cut and made into a circle.Will the area of the circle be the same as that of the triangle? Thank You.  
Asked by seeni2005 | 20 Nov, 2019, 10:10: PM
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CBSE 10 - Maths
A bicycle wheel makes 5000 revolutions in moving 11km. Find diameter of wheel?
Asked by vedantsagrawal23 | 01 Aug, 2019, 06:48: PM
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CBSE 10 - Maths
A triangle has side lengts 2,3,4. a tangent is drawn to the incircle parallel to side 2cm cutting the other two sides at M and N .Find the lenght MN.  
Asked by sandy72434 | 07 Jul, 2019, 01:52: PM
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CBSE 10 - Maths
Four identical coins are placed in a square. For each coin, the ratio of area to circumference is same as the ratio of circumference to area. Then, find the area of the square that is not covered by the coins. CAT Mensuration Test
Asked by rushabhjain.av | 07 Feb, 2019, 03:46: PM
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