Related InterviewSolutions

• Find the area enclosed by circle `x^(2) + y^(2) = 4` ,parabola `y = x^(2) + x + 1` , the curve `y = [|sin^2 ""(x)/(4) + cos""(x)/(4)|]` and x-axis
• Find the ratio in which the area bounded by the curves `y^2=12 xa n dx^2=12 y`is divided by the line `x=3.`A. `15 : 16`B. `15 : 49`C. `1 : 2`D. `15 : 29`
• Find the area of the region bounded by the curve `y^2= x`and the lines `x = 1, x = 4`and the x-axis.
• Let `f(x)=` maximum `{x^2, (1-x)^2, 2x(1 - x)}` where `x in [0, 1].` Determine the area of the region bounded by the curve `y=f(x)` and the lines `y = 0,x=0, x=1.`
• The area of the region in first quadrant bounded by the curves `y = x^(3)` and `y = sqrtx` is equal toA. `(12)/(5)` sq. unitsB. `(5)/(12)` sq. unitsC. `(5)/(3)` sq. unitsD. `(3)/(5)` units
• The area of the region bounded by the curve `y = x^(2) - 2` and line y = 2 , is equal toA. `(32)/(3)` sq. unitB. `(19)/(2)` sq. unitC. `(21)/(5)` unitD. `(16)/(3)` sq. unit
• The area of figure bounded by the curves `y=a^x(a gt 1) and y=b^-x (b gt 1)` and the straight line `x = 1` is (1) `1/(loga) (a-1)+1/(logb) (1/b-1)` (2) `loga(a-1)+logb(1/b-1)` (3) `1/(loga)(a-1)+1/(log b)(b-1)` (4) `loga(a-1)+logb.(b-1)`A. `(1)/(log a)""(a-1) + (1)/(log b) ((1)/(b) - 1)`B. log a (a - 1) + log `((1)/(b) - 1)`C. `(1)/(log a) (a-1)+ (1)/(log b) (b-1)`D. log (a-1) + log (b-1)
• The area bounded between curves `y^2 = x and y= |x|`A. `(1)/(3)`B. `(2)/(3)`C. 1D. `(1)/(6)`
• The area between the curves `y= x^(2)` and `y = (2)/(1 + x^(2))` is equal toA. `pi - (1)/(3)` sq. unitsB. `pi - 2` sq. unitsC. `pi - (2)/(3)` sq. unitsD. `pi + (2)/(3)` sq. units
• STATEMENT-1 : The area bounded by the region `{(x,y) : 0 le y le x^(2) + 1 , 0 le y le x + 1 , 0 le x le 2}` is `(23)/(9)` sq. units and STATEMENT-2 : Required Area is ` int_(a)^(b) (y_(2) - y_(1)) `dxA. Statement-1 is True , Statement-2 is True , Statement-2 is a correct explanation for Statement-1B. Statement-1 is True , Statement-2 is True , Statement-2 is NOT a correct explanation for Statement-1C. Statement-1 is True , Statement-2 is FalseD. Statement-1 is False , Statement-2 is True