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

## Comments

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TopNewestLOL ! 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 · 2 years, 7 months ago

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– U Z · 2 years, 7 months ago

Seriously they are a kind of NCERT problem ( contains very basic concepts)Log in to reply

– Azhaghu Roopesh M · 2 years, 7 months ago

Hi, in which college are you studying ?Log in to reply

– Karan Shekhawat · 2 years, 7 months ago

Hi , I'am not in collage . I'm in 13thLog in to reply

@Azhaghu Roopesh M @KARAN SHEKHAWAT try atleast one question – U Z · 2 years, 7 months ago

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