MHT CET PYQs for Application of derivatives with Solutions: Practice MHT CET Previous Year Questions

Applications Of Derivatives is a Class 12 chapter in the Mathematics section of the MHT CET for candidates who are preparing for the PCM (Physics, Chemistry, and Mathematics).

The key topics covered in Applications Of Derivatives PYQs are:

Rate of change of a quantity
Tangent and normal to a curve
Maxima and minima
Increasing and decreasing functions
Mean value theorem, Rolle's theorem and approximations

Practising Applications Of Derivatives MHT CET PYQ helps candidates to understand question pattern, improve calculation speed, and identify concepts which were asked in previous exams.

Based on chapter-wise analysis of the MHT CET Mathematics paper, you can get about 7 marks per paper by covering Applications Of Derivatives. The chapter recorded 308 questions across the 80 shifts in the data, and 113 of them came in the 2025 and 2026 papers, which is about 3 of the 50 Mathematics questions in a typical shift.

MHT CET Applications Of Derivatives Chapter: Question Count, Marks and Weightage:

What it shows	Number
Questions in the PDF (2016-2026)	308
Questions in the 2025 and 2026 papers (33 shifts)	113
Questions in the 2018 to 2026 papers (80 shifts)	302
Typical number of Mathematics questions from this topic in one shift	About 4 out of 50
Marks for each question	2

The PDF holds 308 questions from MHT CET 2026 to 2016, newest first, each with its exam date and shift. Options are as printed and answer keys are not included.

Applications Of Derivatives PYQ Statistics (2022-2026)

The table below shows the number of questions asked in MHT CET Applications Of Derivatives PYQs. Every shift has 50 Mathematics questions, and the last column is the number of questions asked divided by the shifts held, rounded to a whole number.

Year	Questions Asked	Shifts Held	Typical Questions in One Shift
2026	52	16	About 3 out of 50
2025	61	17	About 4 out of 50
2024	75	18	About 4 out of 50
2023	62	12	About 5 out of 50
2022	4	1	About 4 out of 50

The 2018 to 2021 papers in the PDF add 48 more questions: 2021 had 27, 2020 had 8, 2019 had 10, 2018 had 3; the papers before 2018 add 3 from 2017, 3 from 2016.

MHT CET Applications Of Derivatives Important Questions: Topic-Wise Breakdown

The major types of questions asked from Applications Of Derivatives in MHT CET cover the following topics:

Topic	Questions in the PDF	Share of the PDF
Rate Of Change Of Quantity	67	22%
Maxima And Minima	53	17%
Tangent And Normal	53	17%
Mean Value Theorem	18	6%
Increasing decreasing function	17	6%
Approximations	14	5%
Monotonicity	13	4%
Rolle's theorem	11	4%
Other topics tagged in the PDF	62	20%

Pair PYQs with Other Study Material for MHT CET 2027

Click on the link to practise problems and time management skills:

Resource	Link
MHT CET Sample Paper	Check Here
MHT CET Mock Test	Check Here

Question Style in MHT CET Applications Of Derivatives PYQs

Every question in this PDF is a single-correct MCQ. Most are calculations that need one derivative and a condition from the question.

Question Style	What it Tests
Rate of change	The rate of increase of the radius when a volume is increasing at a given rate
Tangent and normal	The equation of the tangent to a curve at the point where it crosses the Y-axis, and the equation of the normal that is parallel to a given line
Increasing and decreasing	The interval in which a function is increasing or decreasing, and the range of values of a for which a function is increasing
Maxima and minima	The dimensions that make the printed area of a sheet maximum, and the maximum value of a given function
Mean value theorem and approximation	The points where the slope of the tangent is given by the mean value theorem, and the approximate value of an expression

How to Use the Applications Of Derivatives PYQ PDF for MHT CET

Start with the 2025 and 2026 papers first, because they hold 113 of the 308 questions.
For rate of change questions, write the formula for the quantity first and differentiate with respect to time.
For maxima and minima, find the critical points with the first derivative and test them with the second derivative.
Solve year-wise PYQs by timing yourself, as time management is crucial.
Re-attempt only the questions you got wrong, and note which formula or step you missed.

Video: Applications Of Derivatives PYQs and MCQs

Source: Logic Institute | IIT-JEE, MHT-CET, NEET

Applications Of Derivatives PYQ for MHT CET Mathematics FAQs

Ques. How many questions come from Applications Of Derivatives every year?

Ans. In this PDF, the questions are 52 from 2026, 61 from 2025, 75 from 2024, 62 from 2023 and 4 from 2022 and the rest from earlier papers. In 2025 and 2026 together the chapter had 113 questions across 33 shifts, which is about 3 in a typical shift.

Ques. Which topics are asked most frequently in MHT CET Applications Of Derivatives?

Ans. Rate Of Change Of Quantity is the largest topic tag in the PDF with 67 of the 308 questions, about 22%.

Ques. What kind of questions are asked from Applications Of Derivatives?

Ans. Single-correct MCQs, mostly calculations. Common ones ask for a rate of change, the equation of a tangent or a normal, an interval of increase or decrease, or a maximum or minimum value.

Ques. What is the best way to practise Applications Of Derivatives PYQs?

Ans. First solve the 2025 and 2026 questions completely, then the older ones, and finally re-attempt the questions you got wrong.

Ques. Can I score full marks from Applications Of Derivatives?

Ans. In 2025 and 2026 together the chapter had 113 questions across 33 shifts. Learning the rules of differentiation and how to apply them to tangents, rates and extreme values is enough to secure it. Each Mathematics question in MHT CET is worth 2 marks.

Ques. Does the Applications Of Derivatives PYQ PDF include solutions?

Ans. No. The PDF contains the questions with their exam date and shift, without answer keys or solutions.

MHT CET PYQs for Application of derivatives with Solutions: Practice MHT CET Previous Year Questions

Applications Of Derivatives PYQ Statistics (2022-2026)

MHT CET Applications Of Derivatives Important Questions: Topic-Wise Breakdown

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Applications Of Derivatives PYQs

How to Use the Applications Of Derivatives PYQ PDF for MHT CET

Video: Applications Of Derivatives PYQs and MCQs

Applications Of Derivatives PYQ for MHT CET Mathematics FAQs

1.
Given \( f(x) = x - 1 \), \( h(1) = 4 \), and \( h'(1) = -2 \). If \( g(x) = (f[4(h(x)) + 3])^2 \), find the value of \( g'(1) \).

2.
The perpendicular distance between the lines given by \( (x - 2y + 1)^2 + \text{k(x - 2y + 1) = 0 \) is \( \sqrt{5} \), then k =}

3.
If $f(x) = [8x] - 3$, where $[x]$ is the greatest integer function of $x$, then $f(\pi) =$ (where $\pi = 3.14$)

4.
If lines represented by the equation $px^2 - qy^2 = 0$ are distinct, then

5.
The maximum value of $f(x) = \frac{\log \, x }{x} (x \neq 0 , x \neq 1)$ is

6.
The equation of tangent to the curve $y = \cos(x + y)$ where $-2\pi \le x \le 2\pi$ and which is parallel to the line $x + 2y = 0$, is

7.
20 meters of wire is available to fence of a flowerbed in the form of a circular sector. If the flowerbed is to have maximum surface area, then the radius of the circle is

8.
If the line ax+by+c=0 is a normal to the curve xy=1, then

9.
If two curves $x^2 - 4y^2 = 2$ and $8x^2 = 40 - my^2$ are orthogonal to each other then m =

10.
The equation of tangent to the curve $y = \cos(x + y)$ where $-2\pi \le x \le 2\pi$ and which is parallel to the line $x + 2y = 0$, is

11.
If \[ y=(x-1)(x-2)(x-3)\cdots(x-100) \] and the value of \( \dfrac{dy}{dx} \) at \(x=0\) is equal to \[ \lambda\left(\frac{100!}{^{100}C_5}\right) \] then \( \lambda \) is:

12.
If two curves $x^2 - 4y^2 = 2$ and $8x^2 = 40 - my^2$ are orthogonal to each other then m =

13.
If y = 4x – 5 is tangent to the curve y² =px³ +q at (2, 3), then

14.
The perpendicular distance between the lines given by \( (x - 2y + 1)^2 + \text{k(x - 2y + 1) = 0 \) is \( \sqrt{5} \), then k =}

15.
The slant height of a right circular cone is $\sqrt{3}\text{ cm}$. The height of the cone for maximum volume is

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Applications Of Derivatives PYQ Statistics (2022-2026)

MHT CET Applications Of Derivatives Important Questions: Topic-Wise Breakdown

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Applications Of Derivatives PYQs

How to Use the Applications Of Derivatives PYQ PDF for MHT CET

Video: Applications Of Derivatives PYQs and MCQs

Applications Of Derivatives PYQ for MHT CET Mathematics FAQs

1.Given \( f(x) = x - 1 \), \( h(1) = 4 \), and \( h'(1) = -2 \). If \( g(x) = (f[4(h(x)) + 3])^2 \), find the value of \( g'(1) \).

2.The perpendicular distance between the lines given by \( (x - 2y + 1)^2 + \text{k(x - 2y + 1) = 0 \) is \( \sqrt{5} \), then k =}

3.If $f(x) = [8x] - 3$, where $[x]$ is the greatest integer function of $x$, then $f(\pi) =$ (where $\pi = 3.14$)

4.If lines represented by the equation $px^2 - qy^2 = 0$ are distinct, then

5.The maximum value of $f(x) = \frac{\log \, x }{x} (x \neq 0 , x \neq 1)$ is

6.The equation of tangent to the curve $y = \cos(x + y)$ where $-2\pi \le x \le 2\pi$ and which is parallel to the line $x + 2y = 0$, is

7.20 meters of wire is available to fence of a flowerbed in the form of a circular sector. If the flowerbed is to have maximum surface area, then the radius of the circle is

8.If the line ax+by+c=0 is a normal to the curve xy=1, then

9.If two curves $x^2 - 4y^2 = 2$ and $8x^2 = 40 - my^2$ are orthogonal to each other then m =

10.The equation of tangent to the curve $y = \cos(x + y)$ where $-2\pi \le x \le 2\pi$ and which is parallel to the line $x + 2y = 0$, is

11.If \[ y=(x-1)(x-2)(x-3)\cdots(x-100) \] and the value of \( \dfrac{dy}{dx} \) at \(x=0\) is equal to \[ \lambda\left(\frac{100!}{^{100}C_5}\right) \] then \( \lambda \) is:

12.If two curves $x^2 - 4y^2 = 2$ and $8x^2 = 40 - my^2$ are orthogonal to each other then m =

13.If y = 4x – 5 is tangent to the curve y2 =px3 +q at (2, 3), then

14.The perpendicular distance between the lines given by \( (x - 2y + 1)^2 + \text{k(x - 2y + 1) = 0 \) is \( \sqrt{5} \), then k =}

15.The slant height of a right circular cone is $\sqrt{3}\text{ cm}$. The height of the cone for maximum volume is

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1.
Given \( f(x) = x - 1 \), \( h(1) = 4 \), and \( h'(1) = -2 \). If \( g(x) = (f[4(h(x)) + 3])^2 \), find the value of \( g'(1) \).

2.
The perpendicular distance between the lines given by \( (x - 2y + 1)^2 + \text{k(x - 2y + 1) = 0 \) is \( \sqrt{5} \), then k =}

3.
If $f(x) = [8x] - 3$, where $[x]$ is the greatest integer function of $x$, then $f(\pi) =$ (where $\pi = 3.14$)

4.
If lines represented by the equation $px^2 - qy^2 = 0$ are distinct, then

5.
The maximum value of $f(x) = \frac{\log \, x }{x} (x \neq 0 , x \neq 1)$ is

6.
The equation of tangent to the curve $y = \cos(x + y)$ where $-2\pi \le x \le 2\pi$ and which is parallel to the line $x + 2y = 0$, is

7.
20 meters of wire is available to fence of a flowerbed in the form of a circular sector. If the flowerbed is to have maximum surface area, then the radius of the circle is

8.
If the line ax+by+c=0 is a normal to the curve xy=1, then

9.
If two curves $x^2 - 4y^2 = 2$ and $8x^2 = 40 - my^2$ are orthogonal to each other then m =

10.
The equation of tangent to the curve $y = \cos(x + y)$ where $-2\pi \le x \le 2\pi$ and which is parallel to the line $x + 2y = 0$, is

11.
If \[ y=(x-1)(x-2)(x-3)\cdots(x-100) \] and the value of \( \dfrac{dy}{dx} \) at \(x=0\) is equal to \[ \lambda\left(\frac{100!}{^{100}C_5}\right) \] then \( \lambda \) is:

12.
If two curves $x^2 - 4y^2 = 2$ and $8x^2 = 40 - my^2$ are orthogonal to each other then m =

13.
If y = 4x – 5 is tangent to the curve y² =px³ +q at (2, 3), then

14.
The perpendicular distance between the lines given by \( (x - 2y + 1)^2 + \text{k(x - 2y + 1) = 0 \) is \( \sqrt{5} \), then k =}

15.
The slant height of a right circular cone is $\sqrt{3}\text{ cm}$. The height of the cone for maximum volume is