Day 176: MHT-CET Maths

1. A.
   $-\frac{4}{7}\tan^{-4/7}x + c$
2. B.
   $\frac{4}{7}\tan^{4/7}x + c$
3. C.
   $-\frac{7}{4}\tan^{-4/7}x + c$
4. D.
   $\frac{7}{4}\tan^{4/7}x + c$

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1. A.
   $\ 4x - 3y - 2z + 1 = 0$
2. B.
   $\ 3x - 2y + 2z - 3 = 0$
3. C.
   $\ 8x - 5y - 11z + 8 = 0$
4. D.
   $\ 5x - 4y + 2z - 3 = 0$

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1. A.
   Three vertices of a triangle are represented by cube roots of unity and the triangle is not an equilateral triangle.
2. B.
   If a triangle is an equilateral triangle then the three vertices of a triangle are represented by cube roots of unity.
3. C.
   If three vertices of triangle are not represented by cube roots of unity then the triangle is not an equilateral triangle.
4. D.
   If a triangle is not an equilateral triangle then the three vertices of the triangle cannot be represented by cube roots of unity.

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1. A.
   $0.5$
2. B.
   $0.6$
3. C.
   $0.61$
4. D.
   $0.7$

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1. A.
   $30^\circ\mathrm{C}$
2. B.
   $15^\circ\mathrm{C}$
3. C.
   $25^\circ\mathrm{C}$
4. D.
   $20^\circ\mathrm{C}$

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