Day 158: NDA Maths

1. A.
   The local maximum value is larger than local minimum value
2. B.
   The local maximum value is smaller than local minimum value
3. C.
   The function has no local maximum
4. D.
   The function has no local minimum

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1. A.
   $\dfrac{3a^2}{4}$
2. B.
   $\dfrac{a^2}{2}$
3. C.
   $\dfrac{3\sqrt{3}a^2}{4}$
4. D.
   $\dfrac{\sqrt{3}a^2}{4}$

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1. A.
   They are collinear
2. B.
   They lie on a circle of radius $\sqrt{3}$
3. C.
   They form an equilateral triangle
4. D.
   None of the above

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1. A.
   $\left(-\sqrt{2}, \sqrt{2}\right)$
2. B.
   $\left(\sqrt{2}, -\sqrt{2}\right)$
3. C.
   (1, 1)
4. D.
   (1, -1)

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1. A.
   4
2. B.
   -4
3. C.
   8
4. D.
   -8

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