The denominator of a fraction is 1 more than 9 times the numerator. If the sum of the fraction and its reciprocal is \(\frac {101}{10}\) then, what will be the fraction?(a) \(\frac {89}{10}\)(b) \(\frac {10}{89}\)(c) \(\frac {1}{10}\)(d) 10This question was addressed to me in examination.The doubt is from Solution of Quadratic Equation by Factorisation in division Quadratic Equation of Mathematics – Class 10

The denominator of a fraction is 1 more than 9 times the numerator. If

1.	The denominator of a fraction is 1 more than 9 times the numerator. If the sum of the fraction and its reciprocal is \(\frac {101}{10}\) then, what will be the fraction?(a) \(\frac {89}{10}\)(b) \(\frac {10}{89}\)(c) \(\frac {1}{10}\)(d) 10This question was addressed to me in examination.The doubt is from Solution of Quadratic Equation by Factorisation in division Quadratic Equation of Mathematics – Class 10
Answer» The correct option is (c) \(\FRAC {1}{10}\) To elaborate: Let the numerator be X. Denominator of a fraction is 1 more than 9 times the numerator. Denominator = 1+9x The fraction is \(\frac {x}{11+9x}\) Fraction + RECIPROCAL = \(\frac {101}{10}\) \(\frac {x}{1+9x}+\frac {1+9x}{x}=\frac {101}{10}\) \(\frac {x^2+(1+9x)^2}{x(1+9x)}=\frac {101}{10}\) 10(x^2+1+81x^2+18x)=101X(1+9x) 10(82x^2+18x+1)=101x+909x^2 820x^2+180x+10=101x+909x^2 89x^2-79x-10=0 89x^2-89x+10x-10x=0 89x(x-1)+10(x-1)=0 (x-1)(89x+10)=0 x=1, \(\frac {-10}{89}\) The fraction is \(\frac {1}{10}\)

Discussion

No Comment Found

Related InterviewSolutions

What will be the nature of the roots of the quadratic equation 2x^2 + 10x + 9?(a) Imaginary(b) Real(c) Irrational(d) EqualI had been asked this question in a job interview.Question is taken from Quadratic Equation in chapter Quadratic Equation of Mathematics – Class 10
A metro travels at the speed of 396 km at a uniform speed. If the speed had been 5 km/hr. more, it would have taken 2 hours less for the same journey. What is the speed of the train?(a) 32 km/hr(b) 30 km/hr(c) 20.06 km/hr(d) 29.06 km/hrThe question was asked in my homework.This question is from Solution of Quadratic Equation by Squaring Method in chapter Quadratic Equation of Mathematics – Class 10
The denominator of a fraction is 1 more than 9 times the numerator. If the sum of the fraction and its reciprocal is \(\frac {101}{10}\) then, what will be the fraction?(a) \(\frac {89}{10}\)(b) \(\frac {10}{89}\)(c) \(\frac {1}{10}\)(d) 10This question was addressed to me in examination.The doubt is from Solution of Quadratic Equation by Factorisation in division Quadratic Equation of Mathematics – Class 10
The sum of the length and the breadth of a rectangle are 97 and the area of the rectangle is 1752. What will be the value of the length and breadth of the rectangle?(a) 42, 76(b) 73, 24(c) 45, 73(d) 22, 77The question was asked in examination.My doubt is from Solution of Quadratic Equation by Factorisation in section Quadratic Equation of Mathematics – Class 10
If the n^th term of the AP is 5n+2. What will be the value of n so that the sum of the first n terms is 295?(a) 9(b) 10(c) 11(d) 4This question was posed to me during an interview.Enquiry is from Solution of Quadratic Equation by Factorisation topic in division Quadratic Equation of Mathematics – Class 10
The sum of two numbers is 13 and the sum of their reciprocals is \(\frac {13}{40}\). What are the two numbers?(a) 76(b) 49(c) 58(d) 94This question was posed to me during an online interview.My doubt stems from Solution of Quadratic Equation by Factorisation topic in section Quadratic Equation of Mathematics – Class 10
What will be the nature of the roots of the quadratic equation 5x^2 – 11x + 13?(a) Imaginary(b) Real(c) Irrational(d) EqualI had been asked this question in an internship interview.Enquiry is from Quadratic Equation in section Quadratic Equation of Mathematics – Class 10
What are the roots of the equation x^2-9x-10?(a) 9, 1(b) -9, -1(c) -10, 1(d) 10, -1This question was addressed to me in an interview for job.The above asked question is from Solution of Quadratic Equation by Squaring Method topic in chapter Quadratic Equation of Mathematics – Class 10
If the sides of the right angled triangle is x+2, x+1, x then what is the value of x?(a) 1(b) 2(c) 3(d) 4I had been asked this question during an interview.Question is taken from Solution of Quadratic Equation by Factorisation topic in chapter Quadratic Equation of Mathematics – Class 10
The equation 9x^2 – 2x + 5 is not true for any real value of x.(a) False(b) TrueI got this question in an interview.My doubt is from Quadratic Equation in chapter Quadratic Equation of Mathematics – Class 10

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment