Math by DS Sir

Construct a regular hexagon

Draw a regular pentagon without using a scale

Draw a circle without a compass

Draw an oval or an ellipse

Draw an equilateral triangle, without using compass and protractor

constructing an equilateral triangle

Construct an equilateral triangle.

Proof of a square- b square = (a+b)(a-b)

Draw a rhombus without a scale

Construct a regular hexagon

Proof of (a+b)square =a square +2ab + b square

Draw a regular hexagon without a compass or protractor

Construct a regular pentagon inscribed in a circle

De Moivres theorem and trigonometric identity

Find the domain of the function f(x)= square root of log (x^2-6x+6) |math Olympiad|, | IIT JEE|

Solve for positive integers x, y, z, that satisfy the equality 4^x+4^y+4^z=192 | Math Olympiad |

Simplify the number √(√9-√8) that is simplify square root of ( square root 9- square root 8 )

Solve for a, b. if √a+√b=10, √ab=10 |math Olympiad|

Find all the integers a, b if 2^a - 2^b=2016, | math olympiad |

Solve for a positive integer x, 8^x +2^x =130 |Math Olympiad|

Solve the equation x^6 - x^2 =2 | Math Olympiad |

Solve the equation square root of x =equals to -1 in the set of real numbers

Which number is greater 40^41 or 41^40 ? (Calculator not allowed), a math olympiad question

Evaluate the line integral along a circle

Apply Gauss divergence theorem to evaluate the surface integral

Is square root (-8 × -9 ) =(square root -8) × square root (-9) Is √((-8)×(-9))=√(-8)×√(-9) ? in C

Solve the differential equation dy/dx =1/(x+y)

Evaluate the integral

Evaluate the integral of 1 by e^x+e^-x

Solve for x , √(1+√(1+x)) = x^(1/3) | Math Olympiad |

Evaluate the integral of 1/(e^x+e^-x)

Solve for x, 1/x+1/m+1/n= 1/(x+m+n)

Evaluate ∫_0^1 √(-log x) dx

Integrate x / (1+ sin x)

If x+y=10, xy=20, find 1/x + 1/y

Simplify (1+i)^18

Verify greens theorem

Greens theorem, proof

Solve the equation a^4=(a-1)^4, a math olympiad question

Evaluate the integral of tan inverse x

Evaluate the integral 2x(1+sin x)/(1+ cos^2 x) I IIT JEE I

Solve the equation Ix+6I+Ix-1I=6, sum of modulus of x+ 6 and x-1 is equal to 6

Verify greens theorem

Verify Greens Theorem

Integral 0 to pi/2 1/1+sinx