Home
Class 12
MATHS
Let phi:[0,1]->[0,1] be a continuous and...

Let `phi:[0,1]->[0,1]` be a continuous and one-one function. Let `phi(0)=0,phi(1)=1,phi(1/2)=p and phi(1/4)=q` then

A

`p gt 0`

B

`p lt q`

C

p = q

D

No comparison between p and q

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - I) Subjective Type Questions|15 Videos
  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION-J (aakash challengers questions)|13 Videos
  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - J) Aakash Challengers|12 Videos

Similar Questions

Explore conceptually related problems

Let phi:[0,1]rarr[0,1] be a continuous and one-one function.Let phi(0)=0,phi(1)=1,phi((1)/(2))=p and phi((1)/(4))=q then

If phi(x)=int(phi(x))^(-2)dx and phi(1)=0 then phi(x) is

If phi(x)=phi'(x) and phi(1)=2, then phi(3) equals

Let f(x)=|x-a| phi(x), where is phi continuous function and phi(a)!=0. Then

A continuously differentiable function phi(x)in (0,pi//2) satisfying y'=1+y^(2),y(0)=0 , is

int(tan phi+tan^(3)phi)/(1+tan^(3)phi)d phi

If phi(x) is a polynomial function and phi'(x)>phi(x)AA x>=1 and phi(1)=0, then phi(x)>=0AA x>=1 phi(x) =1phi(x)=0AA x>=1 (d) none of these

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)