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Consider two curves C1: y^2=4[sqrt(y)]x ...

Consider two curves `C_1: y^2=4[sqrt(y)]x a n dC_2: x^2=4[sqrt(x)]y ,` where [.] denotes the greatest integer function. Then the area of region enclosed by these two curves within the square formed by the lines `x=1,y=1,x=4,y=4` is `8/3s qdotu n i t s` (b) `(10)/3s qdotu n i t s` `(11)/3s qdotu n i t s` (d) `(11)/4s qdotu n i t s`

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The area bounded by the curve y^2=8x\ a n d\ x^2=8y is (16)/3s qdotu n i t s b. 3/(16)s qdotu n i t s c. (14)/3s qdotu n i t s d. 3/(14)s qdotu n i t s

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The area bounded by the two branches of curve (y-x)^2=x^3 and the straight line x=1 is 1/5s qdotu n i t s (b) 3/5s qdotu n i t s 4/5s qdotu n i t s (d) 8/4s qdotu n i t s

The area of the region bounded by x=0,y=0,x=2,y=2,ylt=e^x a n dygeq1nx is 6-41n2s qdotu n i t s (b) 41n2-2s qdotu n i t s 21n2-4s qdotu n i t s (d) 6-21n2s qdotu n i t s

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Let f(x)=m in i mu m(x+1,sqrt(1-x)) for all xlt=1. Then the area bounded by y=f(x) and the x-axis is 7/3s qdotu n i t s 1/6s qdotu n i t s (11)/6s qdotu n i t s (d) 7/6s qdotu n i t s

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