Correct Option is (C)
According to the given condition,
Integrating w.r.t. , we get
As curve passes through , we get
The equation of the curve is .
Required area
1. ⇒ (MHT CET 2023 11th May Evening Shift )
The slope of the tangent to a curve at is . If the curve passes through the point , then the area (in sq. units), bounded by the curve, the -axis and the line , is
A.
B.
C.
D.
Correct Option is (C)
According to the given condition,
Integrating w.r.t. , we get
As curve passes through , we get
The equation of the curve is .
Required area
2. ⇒ (MHT CET 2023 10th May Evening Shift )
The area bounded by the -axis and the curve is
A. sq. units
B. sq. units
C. sq. units
D. sq. units
Correct Option is (A)
Required area
3. ⇒ (MHT CET 2023 10th May Morning Shift )
Area of the region bounded by the curve and -axis is
A. sq. units
B. sq. units
C. sq. units
D. sq. units
Correct Option is (B)
4. ⇒ (MHT CET 2023 9th May Evening Shift )
The area (in sq. units) bounded by the curve -axis and the lines and is
A.
B.
C. 1
D.
Correct Option is (A)
5. ⇒ (MHT CET 2021 21th September Evening Shift )
The area bounded by the parabola , the straight line and axis is
A. sq. units
B. sq. units
C. sq. units
D. sq. units
Correct Option is (B)
Refer figure
Required area is shaded.
Point of intersection of and is .