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

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Shivam Yadav

Educational Content Expert | Updated on - Nov 26, 2025

Application of derivatives is an important topic in the Mathematics section in MHT CET exam. Practising this topic will increase your score overall and make your conceptual grip on MHT CET exam stronger.

This article gives you a full set of MHT CET PYQs for Application of derivatives with explanations for effective preparation. Practice of MHT CET Mathematics PYQs including Application of derivatives questions regularly will improve accuracy, speed, and confidence in the MHT CET 2026 exam.

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MHT CET PYQs for Application of derivatives with Solutions

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

      • $e$
      • $\frac{1}{e}$
      • $e^2$
      • $\frac{1}{e^2} $

    • 2.

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

        • p = –2, q = 7
        • p =2, q=–7
        • p = 2, q = 7
        • p =–2, q=–7

      • 3.
        The approximate value of $f\left(x\right)= x^{3}+5x^{2}-7x +9$ at $x=1.1 $ is

          • $8.6$
          • $8.5$
          • $8.4$
          • $8.3$

        • 4.

          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 m
            • 5 m
            • 2 m
            • 4 m

          • 5.

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

              •  a>0, b>0 
                 

              •  a>0, b<0 
                 

              •  a<0,b<0 
                 

              •  a=0, b=0

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