Skip to content
Related Articles

Related Articles

Improve Article

GATE | GATE-CS-2014-(Set-1) | Question 65

  • Last Updated : 28 Jun, 2021

A function is continuous in the interval [0, 2]. It is known that f(0) = f(2) = -1 and f(1) = 1. Which one of the following statements must be true.
(A) There exist a y in the interval (0, 1), such that f(y) = f(y+1)
(B) For every y in the interval (0, 1) , f(y) = f(2-y)
(C) The maximum value of the function in the interval (0, 2) is 1
(D) There exist a y in the interval (0, 1), such that f(y) = -f(2-y)


Answer: (A)

Explanation: solution

Since the function is continuous, there must be point between 0 and 1 where it becomes 0 and there must also be a point between 1 and 2 where it becomes 0.

Quiz of this Question

Attention reader! Don’t stop learning now.  Practice GATE exam well before the actual exam with the subject-wise and overall quizzes available in GATE Test Series Course.

Learn all GATE CS concepts with Free Live Classes on our youtube channel.

My Personal Notes arrow_drop_up
Recommended Articles
Page :