Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

<div>Q1) Find the values of p and q for which the system of equations have infinite number of solutions.</div> <div>2x+3y=7, (p+q+1)x+(p+2q+2)y=4(p+q)+1.</div> <div>Q2) Solve the following pair of equations by cross-multiplication method</div> <div>a&sup2;x+b&sup2;y=c&sup2; and b&sup2;x+a&sup2;y=d&sup2;</div> <div>Q3) 8 men and 12 boys can finish a piece of work in 10 days while 6 men and 8 boys can finish it in 14 days. Find the time taken to finish the work by one man alone.</div>
Asked by mkmishra101 | 18 Jun, 2016, 05:26: PM
Expert Answer
begin mathsize 12px style Kindly space ask space one space question space at space straight a space time.
2 straight x plus 3 straight y equals 7 space and space left parenthesis straight p plus straight q plus 1 right parenthesis straight x plus left parenthesis straight p plus 2 straight q plus 2 right parenthesis straight y equals 4 left parenthesis straight p plus straight q right parenthesis plus 1
Since space the space system space of space equations space has space infinite space number space of space solutions comma
fraction numerator 2 over denominator straight p plus straight q plus 1 end fraction equals fraction numerator 3 over denominator straight p plus 2 straight q plus 2 end fraction equals fraction numerator 7 over denominator 4 left parenthesis straight p plus straight q right parenthesis plus 1 end fraction
So comma space fraction numerator 2 over denominator straight p plus straight q plus 1 end fraction equals fraction numerator 3 over denominator straight p plus 2 straight q plus 2 end fraction space and space fraction numerator 3 over denominator straight p plus 2 straight q plus 2 end fraction equals fraction numerator 7 over denominator 4 left parenthesis straight p plus straight q right parenthesis plus 1 end fraction
rightwards double arrow 2 straight p plus 4 straight q plus 4 equals 3 straight p plus 3 straight q plus 3 rightwards double arrow straight p minus straight q equals 1 space and space
12 straight p plus 12 straight q plus 3 equals 7 straight p plus 14 straight q plus 14 rightwards double arrow 5 straight p minus 2 straight q equals 11
straight p minus straight q equals 1 rightwards double arrow straight p equals 1 plus straight q
Substitute space straight p space equals space 1 space plus space straight q space in space 5 straight p minus 2 straight q equals 11 comma space we space get
5 left parenthesis 1 plus straight q right parenthesis minus 2 straight q equals 11 rightwards double arrow 5 plus 5 straight q minus 2 straight q equals 11 rightwards double arrow 3 straight q equals 6 rightwards double arrow straight q equals 2
Thus comma space the space value space of space straight p space equals space 1 space plus space straight q space equals space 1 space plus thin space 2 space equals space 3
Hence space straight p space equals space 3 space and space straight q space equals space 2. end style
Answered by Rebecca Fernandes | 18 Jun, 2016, 07:29: PM
CBSE 10 - Maths
Asked by krishpatel20108 | 01 Jan, 2023, 07:56: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by bhawnabansal47809 | 01 Jun, 2022, 07:23: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by preetijain4723 | 27 Apr, 2022, 09:48: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by dhruvdilipschool | 07 Mar, 2022, 11:37: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by Senorita | 30 Dec, 2021, 11:23: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by hp8376321 | 08 Jul, 2021, 10:10: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by dhanviypatel | 24 May, 2021, 11:44: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by arindeep.singh | 16 Sep, 2020, 10:07: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
1+1
Asked by harshadunnisa4 | 13 Sep, 2020, 08:00: PM
ANSWERED BY EXPERT
Get FREE Sample Mock Papers for Final Exams
Download Now
×