# 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 $$\displaystyle \int_{0}^{1} f(x)dx =$$

Note by U Z
3 years, 7 months ago

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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

- 3 years, 7 months ago

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

- 3 years, 7 months ago

Hi, in which college are you studying ?

- 3 years, 7 months ago

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

- 3 years, 7 months ago

@Azhaghu Roopesh M @KARAN SHEKHAWAT try atleast one question

- 3 years, 7 months ago