Sanjeev Kumar

I am a Mentor of Mathematics, with 25 years experience of teaching offline and online. I not only solve mathematical problems, but also guide how to solve them.  

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Study a proof of Pythagoras theorem, which is based on the concept of Area like the original proof but is simple unlike it.

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High School Geometry: Area

Study a proof of Pythagoras theorem, which is based on the concept of Area like the original proof but is simple unlike it.

Visit the above Link

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Senior School Calculus: Functions

If one can visualize the objects in a mathematical problem, it becomes easier to understand and hence solve the problem. Visit the link to see an illustration (You will need to view the Guidelines at the problem’s page:

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Senior School Calculus: Functions

Find all possible linear functions that can be defined on an interval [a,b] onto another interval [c,d], where a,b,c,d are real numbers.

For Guidelines and Solution, Visit the above Link.

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A mathematician remarked, "Mathematics is for those who want to climb the intellectual heights". And Himalayas, for me, are the best reminders of the heights of mathematics. Everything that is there in mathematics, is just fascinating!

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High School Algebra: Real Numbers

Given any natural number n, not a perfect square, prove that there is no rational number whose square equals n.

For Guidelines and Solution, Visit the above Link.

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High School Geometry: Angles

Suppose it is known that the sum of the interior angles of a triangle is constant. That is, every triangle has the sum of its interior angles same. However it is not known what the sum equals to. Using the concept of ‘Complete Angle’, find the sum.

For Guidelines and Solution, Visit the above Link.