If F(x)= (f ( x 2 ) )^ 2 + (g ( x 2 ) )^ 2 where f ′′ ( x ) = – f ( x ) and g ( x ) = f ′…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
If \(F(x)=\left(f\left(\frac{x}{2}\right)\right)^{2}+\left(g\left(\frac{x}{2}\right)\right)^{2}\)where f ′′(x) = –f (x) and g (x) = f ′(x) and given that F(5) = 5, then F(10) is equal to
- 5
- 10
- 0
- 15
Answer
(A) 5
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- _ n 1 n (1+e^ 1 / n +e^ 2 / n + +e^ n-1 n ) is equal to
- AP is a diameter of a unit circle with centre at O. Let AC be an arc of this circle, which subtends angle θ…
- The value of Limit _ x 0 ( x)- x x^ 4 is equal to
- Limit _ x 5 x^ 2 -9 x+20 x-[x] where [x] is the greatest integer not greater than x
- If f(x)= aligned 3 x^ 2 +12 x-1, & -1 x 2 37-x, & 2<x 3 aligned .
- Let f: [- 2 , 2 ] R be a continuous function such that f(0)=1 and _ 0 ^ 3 f(t) d t=0 Then which of the…
- Let g(x)= (x-1)^ n ^ m (x-1) ; 0 x m and n are integers, m ≠ 0, n > 0, and let p be the left hand derivative…
- Let p ( x ) = a 0 + a 1 x 2 + a 2 x 4 + - - - - - a n x 2 n be a polynomial in a real variable x with 0 a 0 a…
More Limit, Continuity and Differentiability questions · Browse all practice questions