Property 7

Q.

Area between the curve y = cos x and x- axis when 0 $\le$ x is [MP PET 1997]

1. 2

2. 4

3. 3
4. 0

Q.

Area bounded by curve y = k sin x between x = $\pi$ and x = $x=2\pi$ is

1. 2k sq. unit
2. 0

3. $\frac{k^2}{2}$ sq. unit

4. k sq. unit

Q.

Area bounded by curve xy = c, x - axis between x=1 and x=4, is

1. c log 3 sq. unit
2. 2 log c sq.unit

3. 2 c log 2 sq. unit

4. 2c log 5 sq. unit

Q.

If area bounded by the curves $y^2=4axandy=mxis\frac{a^2}{3}$ then the value of m is

1. 2
2. None of these
3. -2

4. 
   

Q. Find the area enclosed between sin(x) & cos(x) between x = 0 & $x=\frac{\pi }{2}$.

1. $2$
2. $2\sqrt{2}$
3. $2\sqrt{2}-2$
4. $2\sqrt{2}+2$

Q.

Area bounded by the curve $y=x{e}^{x^2}$ x - axis and the ordinates x = 0, x = a

1. $\frac{e^{a^2}+1}{2}sq.unit$
2. $\frac{e^{a^2}-1}{2}sq.unit$
3. $e^{a^2}+1sq.unit$
4. $e^{a^2}-1sq.unit$

Q.

Area under the curve $y=\sqrt{3x+4}$between x=0 and x=4, is

1. $\frac{56}{9}sq.unit$

2. $\frac{64}{9}sq.unit$

3. 8 sq. unit

4. None of these

Q.

Area bounded by the lines y = x, x = -1, x = 2 and x-axis is

1. $\frac{3}{2}sq.unit$

2. $\frac{1}{2}sq.unit$

3. $Noneofthese$

4. $\frac{5}{2}sq.unit$

Q.

Area bounded by the curve y = sin x between x = 0 and x = 2$\pi$ is

1. 2 sq. unit

2. 4 sq. unit

3. None of these

4. 8 sq. unit

Q. If the area function ${\int }_a^{x}f\left(x\right)dx=x^2-a^2$ then f(x)is -

1. 2x
2. none of these
3. $\frac{x^3}{3}$
4. $3x^3$