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 complete st of values for K,for which the quaratic equation x squared minus k x plus k plus 2 equals 0 has real roots,consists of-
a.2 plus square root of 12 space end root space space space b.2 root index plus minus of 12 space space c.2 minus square root of 12 space space space d. minus 2 minus square root of 2
Asked by Aastha | 04 Sep, 2014, 12:33: AM
answered-by-expert Expert Answer
T h e space q u a d r a t i c space e q u a t i o n space a x squared plus b x plus c equals 0 space h a s space r e a l space r o o t s space i f space b squared minus 4 a c greater than 0. T h e space g i v e n space e q u a t i o n space i s space x squared minus k x plus k plus 2 equals 0 C o m p a r i n g space t h e space c o e f f i c i e n t s comma space w e space h a v e comma a equals 1 comma space b equals minus k space a n d space c equals k plus 2 T h u s comma space t h e space c o n d i t i o n space b squared minus 4 a c greater than 0 space b e c o m e s comma open parentheses minus k close parentheses squared minus 4 cross times 1 cross times open parentheses k plus 2 close parentheses greater than 0 rightwards double arrow k squared minus 4 k minus 8 greater than 0 rightwards double arrow k squared minus 4 k greater than 8 rightwards double arrow k squared minus 4 k plus 4 greater than 8 plus 4 rightwards double arrow k squared minus 4 k plus 4 greater than 12 rightwards double arrow open parentheses k minus 2 close parentheses squared greater than 12 rightwards double arrow open parentheses k minus 2 close parentheses greater than plus-or-minus square root of 12 rightwards double arrow open parentheses k minus 2 close parentheses plus 2 greater than 2 plus-or-minus square root of 12 rightwards double arrow k plus 2 greater than 2 plus-or-minus square root of 12 H e n c e space t h e space c o r r e c t space o p t i o n space i s space left parenthesis b right parenthesis.
Answered by Vimala Ramamurthy | 04 Sep, 2014, 10:02: 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
×