The fundamental note

1) ABZP is a rectangle and ABCD and CXYZ are squares whose areas add up to 1 .

Maximum possible area of the rectangle ABZP-

2) Let A , B and C be 3 circles lying in the same quadrant each touching both the axes . Suppose also that A touches B and B touches C . If the area of the smallest circle is 1 unit , then area of largest circle is -

3) Consider an equilateral triangle ABC with side 2.1 cm. You want to place a number of smaller equilateral triangles , each with side 1 cm , over the triangle ABC , so that triangle ABC is fully covered. What is the minimum number of smaller triangles needed

NCERT problems

4) $\displaystyle \int \dfrac{\sqrt{x}}{\sqrt{a^3 - x^3}} dx$

5) $\displaystyle For~ all~ g: R \to R ~ \int_{0}^{1} (t - g(t))^2 dt ~is~ positive$

6) f(x) is a non-negative continuous function such that $f(x) + f(\dfrac{1}{2} + x) = 1$ for all $x , 0 \leq x \leq \dfrac{1}{2}$ , then $\displaystyle \int_{0}^{1} f(x)dx =$

Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

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Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

LOL ! If All These are NCERT Problem in this Year , Then I think Math will be tough for This Year CBSE Board , And Thank god I passed 12th Board earlier :) Just Joking

Karan Shekhawat - 6 years, 4 months ago

Seriously they are a kind of NCERT problem ( contains very basic concepts)

U Z - 6 years, 4 months ago

Hi, in which college are you studying ?

A Former Brilliant Member - 6 years, 4 months ago

Hi , I'am not in collage . I'm in 13th

Karan Shekhawat - 6 years, 4 months ago

@Karan Shekhawat – @Azhaghu Roopesh M @KARAN SHEKHAWAT try atleast one question

U Z - 6 years, 4 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$