Ask a Doubt
Request a call back

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

CBSE Class 11-science Answered

The quadratic equation, who's roots are reciprocal of the roots of the equation- ax^2+bx+c,is?
Asked by drhimasingh | 26 May, 2020, 11:31: PM
answered-by-expert Expert Answer
Let alpha and beta be the roots of the quadratic equation ax2+bx+c=0
Using space the space relation space between space the space roots space and space coefficients comma space we space have straight alpha plus straight beta equals negative straight b over straight a space and space αβ equals straight c over straight a 1 over straight alpha plus 1 over straight beta equals fraction numerator straight alpha plus straight beta over denominator αβ end fraction equals fraction numerator negative begin display style straight b over straight a end style over denominator begin display style straight c over straight a end style end fraction equals negative straight b over straight c 1 over straight alpha 1 over straight beta equals 1 over αβ equals fraction numerator 1 over denominator begin display style straight c over straight a end style end fraction equals straight a over straight c The space required space quadratic space equation space is space straight x squared plus open parentheses 1 over straight alpha plus 1 over straight beta close parentheses straight x plus open parentheses 1 over straight alpha 1 over straight beta close parentheses equals 0 rightwards double arrow straight x squared minus straight b over straight c straight x plus straight a over straight c equals 0 rightwards double arrow cx squared minus bx plus straight a equals 0
Answered by Renu Varma | 27 May, 2020, 11:50: AM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 11-science - Maths
For a real number r, the quadratics x² + (r - 1) x + 6 and x² + (2r + 1) x + 22 have a common real root. The sum of the possible values of r can be expressed as a/ b where a, b are relatively prime positive integers. Compute 10a + b
Asked by Bhaveshkr211 | 30 Jul, 2023, 05:21: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Pls solve
question image
Asked by sdmbotch1123 | 18 Jan, 2023, 11:01: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
complete solution set of the equation |x^2-3|+|2-x|=|x^2-x-1|
Asked by rajshekhara348 | 20 Jun, 2022, 11:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
let the equations be x^2+x+2=0 and ax^2+bx+1=0 have atleast one common root then a+b equals to
Asked by sandeepkumarbhadauria41 | 15 Sep, 2021, 02:52: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Please solve all of these questions with proper explanation
question image
Asked by Suchismitasingha18 | 07 Aug, 2021, 04:44: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
questions 6
question image
Asked by sohailsidmd002 | 11 Oct, 2020, 02:35: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
find the value of p and q if the equation px²+5x+2=0 and 3x²+10x+q=0 have both roots in common.
question image
Asked by ssroul.tcbls | 02 Jul, 2020, 07:15: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
   the equation x minus 2 to the power 2 + x - 2 - 2 = 0 has how many roots
Asked by avinashjha3012 | 22 Jun, 2020, 05:41: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
The quadratic equation, who's roots are reciprocal of the roots of the equation- ax^2+bx+c,is?
Asked by drhimasingh | 26 May, 2020, 11:31: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
write the quadratic equation, the arithmetic mean, Geometric mean of whose roots are A and G respectively
Asked by amanamit818 | 06 Oct, 2019, 11:03: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×