KC+CET PYQs for Area Between Two Curves with Solutions: Practice KCET Previous Year Questions

Updated on - Feb 16, 2026

Area Between Two Curves is an important topic in the Mathematics section in KCET exam. Practising this topic will increase your score overall and make your conceptual grip on KCET exam stronger.

This article gives you a full set of KCET PYQs for Area Between Two Curves with explanations for effective preparation. Practice of KCET Mathematics PYQs including Area Between Two Curves questions regularly will improve accuracy, speed, and confidence in the KCET 2026 exam.

KCET PYQs for Area Between Two Curves with Solutions

1.
In the interval (0, π/2), area lying between the curves y = tan x and y = cot x and the X-axis is
- 4 log 2 sq. units
- 3 log 2 sq. units
- log 2 sq. units
- 2 log 2 sq. units
View Solution
2.
The area bounded by the curve $ y= \begin{cases} x^2,x<0 & \quad\\ x,x \geq 0 & \quad \\ \end{cases} $ and the line $y = 4$ is
- $\frac {40}{3}$
- $\frac {16}{3}$
- $\frac {32}{3}$
- $\frac {8}{3}$
View Solution
3.
The area of the region bounded by the line $y = x$ and the curve $y = x^3$ is:
- $0.2$ sq. units
- $0.3$ sq. units
- $0.4$ sq. units
- $0.5$ sq. units
View Solution
4.
The area bounded between the parabola $y^2= 4x$ and the line $y = 2x - 4$ is equal to
- $15\, s\, units$
- $\frac{17}{3}sunits$
- $\frac{19}{3}sunits$
- $9 sunits$
View Solution
5.
The area of the region bounded by the curve y²=8x and the line y = 2x is
- $\frac{16}{3}$sq. units
- $\frac{4}{3}$sq. units
- $\frac{3}{4}$sq. units
- $\frac{8}{3}$sq. units
View Solution
6.
The area of the region bounded by the line y = 2x + 1, x-axis and the ordinates x = -1 and x = 1 is
- $\frac{9}{4}$
- 2
- $\frac{5}{2}$
- 5
View Solution
7.
Slope of Normal to the curve $y=x^2 - \frac {1}{x^2}$ at $(-1,0)$ is
- $\frac {1}{4}$
- $- \frac {1}{4}$
- $4$
- $-4$
View Solution
8.
The area of the region bounded by the line y = x +1, and the lines x = 3 and x = 5 is
- $\frac{11}{2}$ sq. units
- 10 sq. units
- 7 sq. units
- $\frac{7}{2}$ sq. units
View Solution
9.
The area of the region bounded by the line $y = 3x$ and the curve $y = x^3$ in sq. units is:
- $10$
- $\frac{9}{2}$
- $9$
- $5$
View Solution

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KCET PYQs for Area Between Two Curves with Solutions

1.In the interval (0, π/2), area lying between the curves y = tan x and y = cot x and the X-axis is

2.The area bounded by the curve $ y= \begin{cases} x^2,x<0 & \quad\\ x,x \geq 0 & \quad \\ \end{cases} $ and the line $y = 4$ is

3.The area of the region bounded by the line $y = x$ and the curve $y = x^3$ is:

4.The area bounded between the parabola $y^2= 4x$ and the line $y = 2x - 4$ is equal to

5.The area of the region bounded by the curve y2=8x and the line y = 2x is

6.The area of the region bounded by the line y = 2x + 1, x-axis and the ordinates x = -1 and x = 1 is

7.Slope of Normal to the curve $y=x^2 - \frac {1}{x^2}$ at $(-1,0)$ is

8.The area of the region bounded by the line y = x +1, and the lines x = 3 and x = 5 is

9.The area of the region bounded by the line $y = 3x$ and the curve $y = x^3$ in sq. units is:

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1.
In the interval (0, π/2), area lying between the curves y = tan x and y = cot x and the X-axis is

2.
The area bounded by the curve $ y= \begin{cases} x^2,x<0 & \quad\\ x,x \geq 0 & \quad \\ \end{cases} $ and the line $y = 4$ is

3.
The area of the region bounded by the line $y = x$ and the curve $y = x^3$ is:

4.
The area bounded between the parabola $y^2= 4x$ and the line $y = 2x - 4$ is equal to

5.
The area of the region bounded by the curve y²=8x and the line y = 2x is

6.
The area of the region bounded by the line y = 2x + 1, x-axis and the ordinates x = -1 and x = 1 is

7.
Slope of Normal to the curve $y=x^2 - \frac {1}{x^2}$ at $(-1,0)$ is

8.
The area of the region bounded by the line y = x +1, and the lines x = 3 and x = 5 is

9.
The area of the region bounded by the line $y = 3x$ and the curve $y = x^3$ in sq. units is: