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CBSE Class 10 Answered

Q1) Solve the following pair of equations by cross-multiplication method a²x+b²y=c² and b²x+a²y=d²
Asked by mkmishra101 | 21 Jun, 2016, 02:31: PM
answered-by-expert Expert Answer
begin mathsize 12px style Begin space by space writing space the space equations space in space the space general space form. straight a squared straight x plus straight b squared straight y equals straight c squared space becomes space straight a squared straight x plus straight b squared straight y minus straight c squared space equals 0 space and space straight b squared straight x plus straight a squared straight y equals straight d squared space becomes space straight b squared straight x plus straight a squared straight y minus straight d squared space equals 0 end style
 
begin mathsize 12px style fraction numerator straight x over denominator negative straight b squared straight d squared plus straight a squared straight c squared end fraction equals fraction numerator straight y over denominator negative straight c squared straight b squared plus straight a squared straight d squared end fraction equals fraction numerator 1 over denominator straight a to the power of 4 minus straight b to the power of 4 end fraction rightwards double arrow straight x equals fraction numerator negative straight b squared straight d squared plus straight a squared straight c squared over denominator straight a to the power of 4 minus straight b to the power of 4 end fraction space and space straight y space equals space fraction numerator negative straight c squared straight b squared plus straight a squared straight d squared over denominator straight a to the power of 4 minus straight b to the power of 4 end fraction Hence space the space solution space is space straight x equals fraction numerator negative straight b squared straight d squared plus straight a squared straight c squared over denominator straight a to the power of 4 minus straight b to the power of 4 end fraction space and space straight y space equals space fraction numerator negative straight c squared straight b squared plus straight a squared straight d squared over denominator straight a to the power of 4 minus straight b to the power of 4 end fraction. end style
Answered by Rebecca Fernandes | 21 Jun, 2016, 03:39: PM

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CBSE 10 - Maths
from the pair of linear equations in the following problems and find their solution graphically 10 students of class 10 to part in a mathematic quiz if the number of girls is for more than the number of boys find the number of boys and girls who took part in the quiz
Asked by muttenenimalleswarrao | 29 Mar, 2024, 08:32: PM
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CBSE 10 - Maths
The value of 'x' and 'y' when x+y=6 and x-y=10 a) (8,-2) b) (-2,8) c) (8,2) d) (2,8)
Asked by suvarnam458 | 23 Feb, 2024, 06:18: PM
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CBSE 10 - Maths
Present age of 'A' is 4 years less than that of 'B'. Age of 'C', 4 years hence from now will be 60% more than the age of 'B', 4 years ago from now. Find the present average age of 'A' and 'B' together if the sum of present age of 'A' and 'C' is 48 years.
Asked by jhajuhi19 | 01 Feb, 2024, 08:43: AM
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CBSE 10 - Maths
Data given below is related to daily routine [study time (in hours), entertainment time (in hours) and rest time (in hours)] of three students A, B and C.    Daily routine (24 hours) = Study time + Entertainment time + Rest time   A's study time is 1 hour less than B's study time and A's rest time is 7 hours more than his entertainment time. Ratio of A's entertainment time to B's entertainment time is 1: 2. Average of study time of A, B and C is 6 hours. Average of rest time of A and B is 9 hours. Ratio of C's entertainment time to his rest time is 4: 3.   If B's study and entertainment time is m% more than C's study and entertainment time together, then find that B's study and entertainment time together is what percent more than A's study and entertainment time together?
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Asked by jhajuhi19 | 31 Jan, 2024, 11:21: PM
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CBSE 10 - Maths
find the zero of 2x+3 graphically
Asked by imalakondarayudu1 | 30 Jan, 2024, 06:43: AM
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CBSE 10 - Maths
If 8x+5y=9&mx+10y=15 are an inconsistent pair of linear equations, then the value of m is
Asked by sbalmeeri | 29 Jan, 2024, 07:19: PM
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CBSE 10 - Maths
the numerator of fractions is 4 less than the denominator. if the numerator is decreased by 2 and the denominator is increased by 1 , then the denominator is 8 times the numerator. find the fraction.
Asked by am.mansi628 | 29 Nov, 2023, 05:38: PM
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CBSE 10 - Maths
10 students of class 10 took part in a mathematics quiz . if the number of girls is 4 more than the number of boys then ,find find the numbers of boys and number of girls who took part in the quiz
Asked by jaanooru | 13 Oct, 2023, 10:23: PM
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CBSE 10 - Maths
write an equation which represents a coincident to the line represented by the equation2x-3y+5=0
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Asked by mindu2109 | 05 Oct, 2023, 06:19: AM
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CBSE 10 - Maths
solve this
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Asked by simmysingh1aug | 21 Sep, 2023, 01:48: PM
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