The area (in sq units) bounded by the curves y2 = 4x and x2 = 4y in the plane is 1) 8/3 2) 16/3 3) 32/3 4) 64/3 Solution: (2) 16/3... View Article
The area of the region bounded by the curve 9x2 + 4y2 – 36 = 0 is 1) 9Ï€ sq units 2) 4Ï€ sq units 3) 36Ï€ sq units 4) 6Ï€ sq units Solution: (4) 6Ï€ sq units... View Article
Area bounded by the curves y = x2 and y = 2 – x2 is 1) 8/3 sq units 2) 3/8 sq unit 3) 3/2 sq units 4) None of these Solution: (1) 8/3 sq units... View Article
The area enclosed between the curve y = loge (x + e) and the coordinate axes is 1) 4 sq units 2) 3 sq units 3) 2 sq units 4) 1 sq units Solution: (4) 1 sq units Required area = ∫1-e0 loge (x + e) dx =... View Article
The area bounded by the curves y = (x – 1)2, y = (x + 1)2 and y = 1/4 is 1) 1/3 sq unit 2) 2/3 sq units 3) 1/4 sq units 4) 1/5 sq units Solution: (1) 1/3 sq unit... View Article
The area enclosed within the curve |x| + |y| = 1 is 1) 1 sq unit 2) 2√2 sq units 3) √2 sq units 4) 2 sq units Solution: (4) 2 sq units... View Article
Area bounded by the curve y = loge x, x = 0, y ≤ 0 and x-axis is 1) 1 sq units 2) 1/2 sq unit 3) 2 sq units 4) None of these Solution: (1) 1 sq unit... View Article
The area bounded by y = log x, x-axis and ordinates x = 1, x = 2 is 1) (1 / 2) (log x)2 2) log (2/e) 3) log (4/e) 4) log 4 Solution: (3) log (4/e)... View Article
The area (in sq unit)bounded by the parabola y2 = 4ax and the line x = a and x = 4a is 1) 35a2 / 3 2) 4a2 / 3 3) 7a2 / 3 4) 56a2 / 3 Solution: (4) 56a2 / 3... View Article
The area (in sq units) enclosed between the curves y = x and y = 2x – x2 is 1) 1/2 2) 1/6 3) 1/3 4) 1/4 Solution: (2) â…™... View Article
The area (in sq units)bounded by the curves y = 3x and y = x2 is 1) 10 2) 5 3) 4.5 4) 9 Solution: (3) 4.5... View Article
The area (in sq unit) of the region enclosed by the curves y = x2 and y = x3 and the ordinates x = 1, x = 2 is 1) 17/12 2) 11/6 3) 13/3 4) 1 Solution: (1) 17/12... View Article
Area bounded by y2 = x, y = 0, x = 1, x = 4 is 1) (14 / 3) sq units 2) (3 / 28) sq units 3) (8 / 3) sq units 4) (4 / 3) sq units Solution: (1) (14 / 3) sq units... View Article
The area of the smaller segment cut off from the circle x2 + y2 = 9 by x = 1 is 1) [(1 / 2) (9 sec-1 3 - √8)] sq units 2) (9 sec-1 3 - √8) sq units 3) (√8 - 9 sec-1 3) sq unit 4) None of these Solution: (2) (9... View Article
Area bounded by the curve y2 = 16x and line y = mx is 2/3, then m is equal to 1) 3 2) 4 3) 1 4) 2 Solution: (2) 4... View Article
The area bounded by the parabola y2 = 8x and its latus rectum is 1) 16/3 sq units 2) 32/3 sq units 3) 8/3 sq units 4) 64/3 sq units 5) 4/3 sq units Solution: (2) 32/3 sq units... View Article
If f (x) is a non – negative continuous function such that the area bounded by the curve y = f (x), x-axis and the coordinates x = Ï€ / 4 and x = β > (Ï€ / 4) is (β sin β + (Ï€ / 4) cos β + √2β). Then f (Ï€ / 2) = 1) (1 - (π / 4) + √2) 2) (1 - (π / 4) - √2) 3) ((π / 4) - √2 + 1) 4) ((π / 4) + √2 - 1) Solution: (1) (1 - (Ï€ / 4) + √2)... View Article
The parabola y2 = 4x and x2 = 4y divided the square region bounded by the lines x = 4, y = 4 and the coordinate axes. If S1, S2, S3 are respectively the areas of these parts numbered from top to bottom, then S1 : S2 : S3 is equal to 1) 1 : 1 : 1 2) 2 : 1 : 2 3) 1 : 2 : 3 4) 1 : 2 : 1 Solution: (1) 1 : 1 : 1... View Article
The area of the region bounded by the curves y = |x – 2|, x = 1,x = 3 and the x-axis is 1) 1 2) 2 3) 3 4) 4 Solution: (1) 1... View Article
The area of the region bounded by the straight lines x = 0 and x = 2 and the curves y = 2x and y = 2x – x2 is equal to 1) [(2 / log 2) - (4 / 3)] 2) [(3 / log 2) - (4 / 3)] 3) [(1 / log 2) - (4 / 3)] 4) [(4 / log 2) - (3 / 2)] Solution: (2) [(3 / log... View Article
