Q.

Match the following curves in column I, with the areas bounded by the curve and x - axis

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a

a. →r; b. →s;c.→q; d→p

b

a. →r; b. →s;c.→p; d. →q

c

a. →q; b. →p;c.→s; d. →r

d

a. →q; b. →s;c.→p; d. →p

answer is D.

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Detailed Solution

a. [x]2=[y]2, where 1≤x≤4⇒[x]=±[y]b.[|x|]+[|y|]=2 The graph is symmetrical about both x-axis and y-axis.  For x,y>0;[x]+[y]=2. ⇒[x]=0 and [y]=2,[x]=1 and [y]=1 or [x]=2 and [y]=0c.[|x|][|y|]=2 The graph is symmetrical about both x-axis and y-axis.  For x,y>0;[x][y]=2⇒[x]=1 and [y]=2 or [x]=2 and [y]=1 d. [|x|][|y|]=2, where −5≤x≤5.  The graph is symmetrical about both the axes.  For x,y>0,[x]=2[y],[y]≠0⇒[x]=2 and [y]=1 or [x]=4 and [y]=2
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