Day 97: MHT-CET Maths

1. A.
   $\frac{3}{7}\hat{i}-\frac{6}{7}\hat{j}+\frac{2}{7}\hat{k}$
2. B.
   $\frac{2}{7}\hat{i}-\frac{6}{7}\hat{j}+\frac{3}{7}\hat{k}$
3. C.
   $\frac{6}{7}\hat{i}-\frac{2}{7}\hat{j}+\frac{3}{7}\hat{k}$
4. D.
   $\frac{1}{7}\hat{i}+\frac{1}{7}\hat{j}-\frac{3}{7}\hat{k}$

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1. A.
   If X is not an equilateral triangle, then X is not an isosceles triangle
2. B.
   X is neither isosceles nor equilateral triangle
3. C.
   X is isosceles but not an equilateral triangle
4. D.
   If X is not an isosceles triangle, then X is not an equilateral triangle.

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1. A.
   $\sqrt{\dfrac{\pi}{6}}$
2. B.
   $\sqrt{\dfrac{\pi}{4}}$
3. C.
   $-\sqrt{\dfrac{\pi}{6}}$
4. D.
   $-\sqrt{\dfrac{\pi}{4}}$

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1. A.
   $\dfrac{x^2}{y^2}\sqrt{\dfrac{1 - x^6}{1 - y^6}}$
2. B.
   $\dfrac{y^2}{x^2}\sqrt{\dfrac{1 - y^6}{1 - x^6}}$
3. C.
   $\dfrac{x^2}{y^2}\sqrt{\dfrac{1 - y^6}{1 - x^6}}$
4. D.
   $0$

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1. A.
   $-\dfrac{1}{192}[9\cos 2x - \cos 6x] + c$
2. B.
   $\dfrac{1}{192}[9\cos 2x - \cos 6x] + c$
3. C.
   $-\dfrac{1}{32}[\cos 2x - \cos 6x] + c$
4. D.
   $\dfrac{1}{32}[\cos 2x - \cos 6x] + c$

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