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1.

Examples: Find the area of the region bounded by the curve `y^2 = 2y - x` and the y-axis.A. `(2)/(3)` sq. unitsB. `(4)/(3)` sq. unitsC. 2 sq. unitsD. None of these

Answer» Correct Answer - B
Discussion
2.

Find the area enclosed by the parabola `4y=3x^2` and the line`2y = 3x + 12`.A. 18 sq. unitsB. 24 sq. unitsC. 27 sq. unitsD. None of these

Answer» Correct Answer - C
Discussion
3.

Find the area enclosed by the parabola `4y=3x^2` and the line`2y = 3x + 12`.A. 27 sq. units.B. 17 sq. units.C. 26 sq. units.D. 28 sq. units.

Answer» Correct Answer - A
Discussion
4.

The area of the region bounded by the circle `x^(2)+y^(2)=1` and the line `x+y=1` is :A. `((pi)/(2)-(1)/(2))` sq. unitsB. `(pi)/(4)` sq. unitsC. `(1)/(2)` sq. unitsD. None of these

Answer» Correct Answer - A
Discussion
5.

FInd the area bounded by the curves `y^2=9xandx^2=9y.`A. 26 sq. units.B. 27 sq. units.C. 28 sq. units.D. 29 sq. units.

Answer» Correct Answer - B
Discussion
6.

The vertices of a triangle are (1, 0), (4, 0) and (4, 4). Its area is :A. 4 sq. unitsB. 6 sq. unitsC. 8 sq. unitsD. None of these

Answer» Correct Answer - B
Discussion
7.

Area of the ellipse `x^2/a^2+y^2/b^2=1`is `piab`A. `(1)/(4)pi ab` sq. unitsB. `(1)/(2)pi ab` sq. unitsC. `pi ab` sq. unitsD. None of these

Answer» Correct Answer - C
Discussion
8.

Find the area of the region included between theparabolas `y^2=4a xa n dx^2=4a y ,w h e r ea > 0.`A. `(16a^(2))/(3)` sq. unitsB. `(8a^(2))/(3)` sq. unitsC. `(4a^(2))/(3)` sq. unitsD. None of these

Answer» Correct Answer - A
Discussion
9.

Find the area bounded by the parabola `y^2 = 4ax` and the line `y = 2ax`.A. 3a sq. unitsB. `(1)/(3a)` sq. unitsC. `(2)/(3a)` sq. unitsD. None of these

Answer» Correct Answer - B
Discussion
10.

The area of region bounded by circles `x^(2) +y^(2)=1` and `(x-1)^(2)+y^(2)=1` is :A. `(2pi)/(3)` sq. unitsB. `(sqrt(3))/(2)` sq. unitsC. `((2pi)/(3)-(sqrt(3))/(2))` sq. unitsD. None of these

Answer» Correct Answer - C
Discussion
11.

Find the area of the region bounded by: the parabola `y=x^2` and the line `y = x`A. `(9)/(2)` sq. unitsB. `(9)/(4)` sq. unitsC. `(9)/(8)` sq. unitsD. 9 sq. units

Answer» Correct Answer - A
Discussion
12.

Find the area of the region bounded by: the parabola `y=x^2` and the line `y = x`A. 1 sq. unitB. `(1)/(2)` sq. unitC. `(1)/(4)` sq. unitD. None of these

Answer» Correct Answer - B
Discussion
13.

The area of the region bounded by `y = |x - 1|` and `y = 1` isA. 1 sq. unitB. 2 sq. unitsC. 3 sq. unitsD. None of these

Answer» Correct Answer - A
Discussion
14.

The area of the loop of the curve `a y^2=x^2(a-x)`is`4a^2s qdotu n i t s`(b) `(8a^2)/(15)s qdotu n i t s``(16 a^2)/9s qdotu n i t s`(d) None of theseA. `(4a^(2))/(15)` sq. unitsB. `(7a^(2))/(15)` sq. unitsC. `(8a^(2))/(15)` sq. unitsD. None of these

Answer» Correct Answer - C
Discussion
15.

The area bounded by the curves `y=x e^x ,y=x e^(-x)`and the line `x=1`is`2/e s qdotu n i t s`(b) `1-2/e s qdotu n i t s``1/e s qdotu n i t s`(d) `1-1/e s qdotu n i t s`A. `(1)/(e)` sq. unitsB. `(2)/(e)` sq. unitsC. `(1-(1)/(e))` sq. unitsD. None of these

Answer» Correct Answer - B
Discussion