For the area bounded by the curve y=a x, the line x=2 and x -axis to be 2 sq. units, the value of a must be equal to

Question

For the area bounded by the curve y=a x, the line x=2 and x -axis to be 2 sq. units, the value of a must be equal to (A) 2 (B) 4 (C) 5 (D) None of these

Tardigrade Admin · Accepted Answer

Area =2=∫ limits02 text ax dx ⇒ 2= a [( x 2/2)]02 ⇒ 2= a [(4/2)-0]=2 a which gives a=1

Q. For the area bounded by the curve $y = a x$ , the line $x = 2$ and $x$ -axis to be 2 sq. units, the value of a must be equal to

2

4

5

None of these

Area $= 2 = 0 \int 2 ax d x$
$\Rightarrow 2 = a [\frac{x ^{2}}{2}]_{0}^{2}$
$\Rightarrow 2 = a [\frac{4}{2} - 0] = 2 a$
which gives $a = 1$

Q. For the area bounded by the curve y=ax, the line x=2 and x -axis to be 2 sq. units, the value of a must be equal to

2

4

5

None of these

Area =2=0∫2​ ax dx ⇒2=a[2x2​]02​ ⇒2=a[24​−0]=2a which gives a=1

Q. For the area bounded by the curve $y = a x$ , the line $x = 2$ and $x$ -axis to be 2 sq. units, the value of a must be equal to

Area $= 2 = 0 \int 2 ax d x$
$\Rightarrow 2 = a [\frac{x ^{2}}{2}]_{0}^{2}$
$\Rightarrow 2 = a [\frac{4}{2} - 0] = 2 a$
which gives $a = 1$