Day 125: JEE Mains Maths

1. A.
   $x^{2} + y^{2} = 169$
2. B.
   $144x^{2} + 25y^{2} = 3600$
3. C.
   $25x^{2} + 12y^{2} = 3600$
4. D.
   $x^{2} + y^{2} = 60$

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1. A.
   $\pi^{2}$
2. B.
   $2\pi^{2}$
3. C.
   $4\pi^{2}$
4. D.
   $4\pi$

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1. A.
   $\frac{1}{2}e^{2}$
2. B.
   $2e$
3. C.
   $\frac{1}{2}\sqrt{e}$
4. D.
   $2e^{2}$

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1. A.
   $y^{3}(x - 2) = x^{2}$
2. B.
   $x^{3}(x - 2) = y^{2}$
3. C.
   $y^{2}(x - 2) = x^{3}$
4. D.
   $x^{2}(x - 2) = y^{3}$

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1. A.
   continuous in $\lbrack - 2,2\rbrack$ but not differentiable at more than four points in $( - 2,2)$
2. B.
   not continuous at exactly three points in $\lbrack - 2,2\rbrack$
3. C.
   continuous in $\lbrack - 2,2\rbrack$ but not differentiable at exactly three points in $( - 2,2)$
4. D.
   not continuous at exactly four points in $\lbrack - 2,2\rbrack$

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