Application of Integrals Test

Result

Application of Integrals Test - 70

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

The area of the region bounded by the curve
$$x={ y }^{ 2 }-2\quad and\quad x=y\quad is$$

A
$$\frac { 9 }{ 4 } $$

B
9

C
$$\frac { 9 }{ 2 } $$

D
$$\frac { 9 }{ 7 } $$

Solution
Question 2
1 / -0

The area bounded by the curve $$y=\begin{cases} x^{ 2 };x<0 \\ x;x\ge 0 \end{cases}$$ and the line $$y=4$$ is

A
$$\cfrac{20}{41}$$

B
$$\cfrac{20}{147}$$

C
$$\cfrac{40}{3}$$

D
$$\cfrac{20}{21}$$

Solution
Question 3
1 / -0

The area enclosed between the curve $${x^2} + {y^2} = 16$$ and the coordinates axes in the first quadrant is

A
$$\pi \,\,sq.\,\,units$$

B
$$2\pi \,\,sq.\,\,units$$

C
$$3\pi \,\,sq.\,\,units$$

D
$$4\pi \,\,sq.\,\,units$$

Solution
Question 4
1 / -0

y= f(x) is a function which satisfies -
(i)f(0)=0 (ii)f''(x)= f'(x) and (iii) f'(0)=1
then the area bounded by the graph of y = f(x), the lines x=0,x-1=0 and y+1=0 is -

A
e

B
e-2

C
e-1

D
e+1

Solution
Question 5
1 / -0

The area of region bounded by $$x = 0,2 x - 3 y = - 6$$ and $$2 x + 3 y = 18$$ is

A
$$2$$ square unit

B
$$4$$ square unit

C
$$6$$ square unit

D
$$9$$ square unit

E
None of these
Question 6
1 / -0

Area of the region bounded by curves y=x log x and $$y={ 2x-x }^{ 2 }$$ is

A
1/12

B
7/12

C
5/12

D
none of these
Question 7
1 / -0

Area of the region bounded by the curve $$( y - x ) ^ { 2 } = x ^ { 3 }$$ and the line $$x = 1$$ is

A
$$\frac {5} {4}$$

B
$$\frac {3} {4}$$

C
$$\frac {4} {5}$$

D
$$\frac {4} {3}$$

Solution
Question 8
1 / -0

Area enclosed by the curve $$y = f ( x )$$ defined parametrical as $$x = \frac { 1 - t ^ { 2 } } { 1 + t ^ { 2 } } , y = \frac { 2 t } { 1 + t ^ { 2 } }$$

A
$$\pi$$ sq. units

B
$$\frac { \pi } { 2 }$$ sq. units

C
$$\frac { 3 \pi } { 4 }$$ sq. units

D
$$\frac { 3 \pi } { 2 }$$ sq. units

Solution
Question 9
1 / -0

The area (in sq units) of the region bounded by the curve $$y=\sqrt { x } $$ and the lines $$y=0,y=x-2$$, is

A
$$\frac { 10 }{ 3 } $$

B
$$\frac { 8 }{ 3 } $$

C
$$\frac { 4 }{ 3 } $$

D
$$\frac { 16 }{ 3 } $$

Solution
Question 10
1 / -0

The area bounded by the curve y=$${ x }^{ 3 },$$ x-axis and two ordinates x=1 to x=2 equal to

A
15/2 sq.unit

B
15/4 sq.unit

C
17/2 sq.unit

D
17/4 sq.unit

Solution