Request a call back

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

CBSE Class 12-science Answered

9-x^2 < mod of x-a, then this has atleast one negative solution.then find the possible value of a?
Asked by Ranbir Singh | 16 Sep, 2012, 08:26: PM
answered-by-expert Expert Answer

9-x^2 is the equation of downward parabola with vertex at (0,9).

9-x^2 < mod of x-a, then this has atleast one negative solution only if |x-a| will neither touch nor intersect the parabola in other words will always lie above parabola.

The equation of tangent to parabola will be in slope form

X=m(9-y)+1/4m

Considering for x>0 line y=-x+a is same line

Comparing these two lines m=1 and a=37/4

So 9-x^2 < mod of x-a, then this has atleast one negative solution only if |a|>37/4
Answered by | 18 Nov, 2012, 07:57: PM
CBSE 12-science - Maths
Asked by srisrinivasa.mcrl | 04 Feb, 2024, 10:39: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by shubh31122006 | 23 Dec, 2023, 02:27: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by lailavafra08 | 26 Oct, 2023, 07:24: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by saisidh05 | 04 Jul, 2022, 03:04: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by agarwalgolu318 | 13 Aug, 2020, 08:09: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by givduf | 11 Jul, 2020, 09:00: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by clbalaji.cnhalli | 05 Feb, 2020, 08:30: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by dineshchem108 | 09 Oct, 2019, 07:04: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×