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Area between Two Curves

Given below a...

Question

Given below are Matching Type Questions,with two columns(each having some items) each.Each item of column $I$ has to be matched with the items of column $I I$ , by encircling the correct match(es):

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Solution

$(A)$ It is clear from the graphs(shown below), $y_{1}$ and $y_{2}$ are periodic with period $π$ and area same.
and length of curves are also same.
A $\Rightarrow (1, 2, 3, 4)$
$(B)$ Periods of $y_{1}$ and $y_{2}$ are $2$ and $1$ respectively.
Hence,graphs are not the same.
B $\Rightarrow (5)$
$(C)$ Periods of $y_{1}$ and $y_{2}$ are $π$ and $2 π$ respectively.
C $\Rightarrow (1, 5)$

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a x^{2} + 2 h x y + b y^{2} + 2 g x + 2 f y + c = 0

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△ = a b c + 2 f g h - a f^{2} - b g^{2} - c h^{2}

⎛ ⎜ ⎝ \begin{matrix} a & h & g h & b & f g & f & c \end{matrix} ⎞ ⎟ ⎠

Now, match the entries from the following two columns

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