Mathmatics

Semicircle and sector of circle in a regular hexagon

This question was uploaded on 11/01/22 on social media accounts. Solution: Blue Area = A( ⌔ ABD) - A( ⌔ OBC) - A( Δ AOC) \[\Rightarrow Area=...

Admin 11 Jan, 2022

Question From Indian Math Olympiad Exam

This question was uploaded on 10/01/22 on social media accounts. Solution: \[\color{green} {a+b=1}\] \[\color{purple} {a^2+b^2=2}\] \[\color...

Admin 10 Jan, 2022

Equilateral triangle in a circle with a chord and angle bisector

This question was uploaded on 09/01/22 on social media accounts. Solution 1: By Ptolemy's theorem: \[\color{red} {(7)(x)+(11)(x)=(L)(x\s...

Admin 9 Jan, 2022

Triangle in a triangle such that one common angle and one similar angle are formed

This question was uploaded on 08/01/22 on social media accounts. Solution: Here, one angle is common and one angle is given similar, so both...

Admin 8 Jan, 2022

Question from Jee Advanced examination

This question was uploaded on 07/01/22 on social media accounts. This question is from IIT JEE Advanced examination. Solution: From the firs...

Admin 7 Jan, 2022

One isosceles triangle and two parallel lines

This question was uploaded on 06/01/22 on social media accounts. Solution: 2α = 20 or α = 10 Now, x = 20+α = 30 Step 1: Give all possible an...

Admin 6 Jan, 2022

Diagonal of a square and base of an equilateral triangle are on the same line

This question was uploaded on 05/01/22 on social media accounts. Solution 1: Blue area = A(ABC) - A(ADE) \[A(ADE)=\frac12(AD)(ED)=\frac12(4\...

Admin 5 Jan, 2022

Algebraic equations

This question was uploaded on 04/01/22 on social media accounts. Solution 1: Given equations: \[\color{red} {a+b=4}\] \[\color{blue} {a^2+b^...

Admin 4 Jan, 2022

One circle is completely inside the square and center of another circle in on vertex of the square

This question was uploaded on 03/01/22 on social media accounts. Solution 1: Green length: Intersecting chord theorem in blue circle: \[(r+a...

Admin 3 Jan, 2022

Area between two isosceles triangles in a square

This question was uploaded on 02/01/22 on social media accounts. Solution 1: Triangle ABC is 1/4 of the area of the square, Let, the area of...

Admin 2 Jan, 2022