Home
Class 11
MATHS
" (d) "f(x)=x(x-1)^(2)" in "[0,1]...

" (d) "f(x)=x(x-1)^(2)" in "[0,1]

Promotional Banner

Similar Questions

Explore conceptually related problems

Let f:[0,1]toR (the set of all real numbers ) be a function. Suppose the function f is twice differentiable,f(0)=f(1)=0 and satisfies f''(x)-2f'(x)+f(x)gee^(x),x in [0,1] Consider the statements. I. There exists some x in R such that, f(x)+2x=2(1+x^(2)) (II) There exists some x in R such that, 2f(x)+1=2x(1+x)

Let f:[0,1]toR (the set of all real numbers ) be a function. Suppose the function f is twice differentiable,f(0)=f(1)=0 and satisfies f''(x)-2f'(x)+f(x)gee^(x),x in [0,1] Consider the statements. I. There exists some x in R such that, f(x)+2x=2(1+x^(2)) (II) There exists some x in R such that, 2f(x)+1=2x(1+x)

Let f(x)=(x+1)^2-1, xgeq-1. Then the set {x :f(x)=f^(-1)(x)} is {0,1,(-3+isqrt(3))/2,(-3-isqrt(3))/2} (b) {0,1,-1 {0,1,1} (d) e m p t y

Let f(x)=(x+1)^2-1, xgeq-1. Then the set {x :f(x)=f^(-1)(x)} is {0,1,(-3+isqrt(3))/2,(-3-isqrt(3))/2} (b) {0,1,-1 {0,1,1} (d) e m p t y

Let f(x)=(x+1)^2-1, xgeq-1. Then the set {x :f(x)=f^(-1)(x)} is {0,1,(-3+isqrt(3))/2,(-3-isqrt(3))/2} (b) {0,1,-1 {0,1,1} (d) e m p t y

Let f(x)=(x+1)^(2)-1,x>=-1. Then the set {x:f(x)=f^(-1)(x)} is (a){0,1,(-3+i sqrt(3))/(2),(-3-i sqrt(3))/(2)}(b){0,-1}(c){0,1}(d) empty

Let f''(x)gt0 and phi(x)=f(x)+f(2-x),x in(0,2) be a function then the function phi(x) is (A) increasing in (0,1) and decreasing (1,2) (B) decreasing in (0, 1) and increasing (1,2) (C) increasing in (0, 2) (D) decreasing in (0,2)

Let f(x)=(x+1)^2-1, xgeq-1. Then the set {x :f(x)=f^(-1)(x)} is (a) {0,1,(-3+isqrt(3))/2,(-3-isqrt(3))/2} (b) {0,-1} (c) {0,1} (d) e m p t y

Let f(x)=(x+1)^2-1, xgeq-1. Then the set {x :f(x)=f^(-1)(x)} is (a) {0,1,(-3+isqrt(3))/2,(-3-isqrt(3))/2} (b) {0,-1} (c) {0,1} (d) e m p t y

Let f(x)=(x+1)^2-1, xgeq-1. Then the set {x :f(x)=f^(-1)(x)} is (a) {0,1,(-3+isqrt(3))/2,(-3-isqrt(3))/2} (b) {0,-1} (c) {0,1} (d) e m p t y