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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

State whether the following statement is True or False: The area of portion lying below the X axis is negative - Mathematics and Statistics

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प्रश्न

State whether the following statement is True or False:

The area of portion lying below the X axis is negative

पर्याय

  • True

  • False

MCQ
स्पष्ट करा
चूक किंवा बरोबर
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उत्तर

True

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1.7: Application of Definite Integration - Q.1 (B)

संबंधित प्रश्‍न

Using integration find the area of the triangle formed by positive x-axis and tangent and normal of the circle

`x^2+y^2=4 at (1, sqrt3)`


Find the area of the region bounded by the ellipse `x^2/4 + y^2/9 = 1.`


Find the area of the region bounded by the parabola y = x2 and y = |x| .


Find the area of the region lying in the first quadrant and bounded by y = 4x2x = 0, y = 1 and = 4


Sketch the graph of y = |x + 3| and evaluate `int_(-6)^0 |x + 3|dx`


Find the area of the smaller region bounded by the ellipse `x^2/a^2 + y^2/b^2 = 1` and the line `x/a + y/b =   1`


Find the area of the region enclosed by the parabola x2 = y, the line y = x + 2 and x-axis


Using the method of integration find the area of the triangle ABC, coordinates of whose vertices are A(2, 0), B (4, 5) and C (6, 3).


Draw a rough sketch and find the area bounded by the curve x2 = y and x + y = 2.


Area of the region bounded by y = x4, x = 1, x = 5 and the X-axis is _______.


Fill in the blank :

Area of the region bounded by x2 = 16y, y = 1, y = 4 and the Y-axis, lying in the first quadrant is _______.


Fill in the blank :

The area of the region bounded by the curve x2 = y, the X-axis and the lines x = 3 and x = 9 is _______.


State whether the following is True or False :

The area of the portion lying above the X-axis is positive.


Find the area of the region bounded by y = x2, the X-axis and x = 1, x = 4.


Solve the following:

Find the area of the region bounded by the curve x2 = 25y, y = 1, y = 4 and the Y-axis.


Choose the correct alternative:

Using the definite integration area of the circle x2 + y2 = 16 is ______


Area of the region bounded by the curve x = y2, the positive Y axis and the lines y = 1 and y = 3 is ______


The area of the region lying in the first quadrant and bounded by the curve y = 4x2, and the lines y = 2 and y = 4 is ______


Find the area of the region bounded by the curve 4y = 7x + 9, the X-axis and the lines x = 2 and x = 8


Find area of the region bounded by the parabola x2 = 4y, the Y-axis lying in the first quadrant and the lines y = 3


Area enclosed between the curve y2(4 - x) = x3 and line x = 4 above X-axis is ______.


The area bounded by the X-axis, the curve y = f(x) and the lines x = 1, x = b is equal to `sqrt("b"^2 + 1) - sqrt(2)` for all b > 1, then f(x) is ______.


Which equation below represents a parabola that opens upward with a vertex at (0, – 5)?


The area of the circle `x^2 + y^2 = 16`, exterior to the parabola `y = 6x`


The area (in sq.units) of the part of the circle x2 + y2 = 36, which is outside the parabola y2 = 9x, is ______.


Find the area of the region lying in the first quadrant and bounded by y = 4x2, x = 0,y = 2 and y = 4.


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