12 - Maths - Unit 7 - Integral Calculus And Its Applications

19 Questions | Total Attempts: 845

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Prepared by, R VISVANATHAN, PG ASST IN MATHS, GHSS, PERIYATHACHUR, TINDIVANAM TK-605651   ; &nbs p; & www. Padasalai. Net

• 1.
The value of   is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 2.
The value of  is (1)     (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 3.
The value of  is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 4.
The value of  is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 5.
The value of  is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 6.
The value of  is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 7.
The value of  is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 8.
The area bounded by the line y =x, the x- axis, the ordinates x = 1,  x = 2 is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 9.
The area of the region bounded by the graph of  and  between  and  is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 10.
The area between the ellipse and its auxillary circle is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 11.
The area bounded by the parabola and its latus rectum is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 12.
The volume of the solid obtained by revolving about the minor axis is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 13.
The volume generated when the region bounded by y = x, y = 1, x = 0 is rotated about x-axis is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 14.
Volume of solid obtained by revolving the area of the ellipse about minor and major axes are in the ratio (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 15.
The volume, when the curve  from  to  is rotated about x-axis is (1)    (2)    (3)     (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 16.
The volume generated by rotating the triangle with vertices at (0, 0), (3 , 0) and (3, 3) about x-axis is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 17.
The curved surface area of a sphere of radius 5, intercepted between two parallel planes of distance 2 and 4 from the center is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 18.
The surface area of the solid of revolution of the region bounded by y = 2x, x = 0 and x = 2 about x-axis is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 19.
The length of the arc of the curve  is (1)  48  (2)  24  (3)  12  (4)  96
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

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