Question

The curve y = x² – 7x + 10 intersects the x-axis at the points A and B. Then the area bounded by the curve and the line AB is

• A. 4$\frac { 1 } { 2 }$ sq. units
• B. 4 sq. units
• C. 6 sq. units
• D. 2 sq. units

Answer 1

Answer: (A)

4$\frac { 1 } { 2 }$ sq. units

Answer 2

The curve y = x² – 7x + 10 intersects the x-axis at the points A (2, 0) and B( 5, 0) .

Hence the required area

= –

= –$\left[ \frac { x ^ { 3 } } { 3 } - \frac { 7 x ^ { 2 } } { 2 } + 10 x \right] _ { 2 } ^ { 5 } = 4.5$.