CBSE Class 11-science Answered
f(x)=x raise to 2( x square)-3x+1,find k if f(2k)=2f(k) and f(2k)=f(k).
Asked by pooja dev | 20 Nov, 2010, 12:00: AM
Expert Answer
Dear Student,
f (x) = x2 -3x +1
=> f (2k) = (2k)2 - 3(2k) + 1
=> f (2k) = 4k2 - 6k + 1
And f (k) = k2 -3k +1
As, f (2k) = 2f (k)
=> 4k2 - 6k + 1 = 2k2 -6k +2
=> 2k2 -1 = 0
=> k2 = 1/2
=> k = 1/√2 or -1/√2
And for f (2k) = f (k)
i.e. 4k2 - 6k + 1 = k2 -3k +1
=> 3k2 - 3k = 0
=> 3k (k-1) = 0
=> k = 0 or 1.
Regards Topperlearning.
Answered by | 21 Nov, 2010, 12:14: PM
Concept Videos
-
Trigonometric identities and problems
Fundamental trigonometric identities and problems based on them. Sign Conve... -
Degree measure and Radian measure ...
This video explains the concept of negative & positive angles, conversion o... -
Domain, period and range of trigonometric functions ...
Define the domain, period and range of the trigonometric functions and plot... -
Basic Trigonometric Formulae
Derive and apply the basic formulae of sine and cosine functions like sin(... -
Sign of Trigonometric Functions
This video covers values of trigonometric ratios of angles greater than 90 ...
CBSE 11-science - Maths
Asked by medanagaraju2022 | 03 May, 2024, 07:37: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by rajyothi64 | 05 Mar, 2024, 09:49: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by ghoshshawata62 | 04 Mar, 2024, 08:16: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by nayaktapaswini2007 | 29 Feb, 2024, 09:10: AM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by bimanmandal53361 | 15 Jan, 2024, 12:32: AM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by sreyas.katuri | 23 Sep, 2023, 07:12: AM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by 069.pks | 16 Sep, 2023, 10:06: AM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by surekhashriwas01 | 12 Sep, 2023, 08:39: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by mvr23467 | 12 Sep, 2023, 07:52: PM
ANSWERED BY EXPERT
