Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let f: [0, 
) 
R be a continuous function such that
for all 
. Then, which of the following statement(s) is (are) TRUE ?
A
The curve y = f(x) passes through the point (1,2)
B
The curve y = f(x) passes through the point (2, -1)
C
The area of the region 
is 
is
D
The area of the region 
is 
is
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(b, c)
put x = 0, f(0) = 1 
C = 0
f(x)=1-x
which passes through (2, -1)
area 
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
PART I: PHYSICS
SECTION 1 (Maximum Marks: 24)
• This section contains SIX (06) questions.
• Each qu…
Consider a body of mass 1.0 kg at rest at the origin at time t = 0. A force is applied on the body…
A uniform capillary tube of inner radius r is dipped vertically into a beaker filled with water. Th…
In the figure below, the switches S 1 and S 2 are closed simultaneously at t = 0 and a current star…
Two infinitely long straight wires lie in the xy-plane along the lines x = ±R. The wire located at …
One mole of a monatomic ideal gas undergoes a cyclic process as shown in the figure (where V is the…