हिंदी

Find the Area Enclosed Between the Parabola Y2 = 4ax and the Line Y = Mx

Advertisements
Advertisements

प्रश्न

Find the area enclosed between the parabola y2 = 4ax and the line y mx

Advertisements

उत्तर

The area enclosed between the parabola, y2 = 4ax, and the line, y mx, is represented by the shaded area OABO as

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Application of Integrals - Exercise 8.3 [पृष्ठ ३७५]

APPEARS IN

एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 8 Application of Integrals
Exercise 8.3 | Q 6 | पृष्ठ ३७५

वीडियो ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्न

Find the area of the region in the first quadrant enclosed by the x-axis, the line y = x and the circle x2 + y2 = 32.


Find the area of the region bounded by the curve y2 = x and the lines x = 1, x = 4 and the x-axis.


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^2/9 + y^2/4` and the line `x/3 + y/2 = 1`


Using the method of integration, find the area of the triangle ABC, coordinates of whose vertices are A (4 , 1), B (6, 6) and C (8, 4).


Find the area of the region bounded by the parabola y2 = 16x and the line x = 4. 


Find the area of the region bounded by the following curves, the X-axis and the given lines:  2y = 5x + 7, x = 2, x = 8


Find the area of the region bounded by the following curves, the X-axis and the given lines:

y = x2 + 1, x = 0, x = 3


Choose the correct alternative :

Area of the region bounded by the curve x2 = y, the X-axis and the lines x = 1 and x = 3 is _______.


Choose the correct alternative :

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


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


State whether the following is True or False :

The area bounded by the curve y = f(x), X-axis and lines x = a and x = b is `|int_"a"^"b" f(x)*dx|`.


Solve the following:

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


State whether the following statement is True or False:

The equation of the area of the circle is `x^2/"a"^2 + y^2/"b"^2` = 1


The area bounded by the parabola x2 = 9y and the lines y = 4 and y = 9 in the first quadrant 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 parabola y2 = 25x and the line x = 5


Find the area of the region bounded by the curve y = `sqrt(9 - x^2)`, X-axis and lines x = 0 and x = 3


Find area of the region bounded by 2x + 4y = 10, y = 2 and y = 4 and the Y-axis lying in the first quadrant


Find area of the region bounded by the parabola x2 = 36y, y = 1 and y = 4, and the positive Y-axis


If `int_0^(pi/2) log (cos x) "dx" = - pi/2 log 2,` then `int_0^(pi/2) log (cosec x)`dx = ?


`int_0^log5 (e^xsqrt(e^x - 1))/(e^x + 3)` dx = ______ 


The ratio in which the area bounded by the curves y2 = 8x and x2 = 8y is divided by the line x = 2 is ______ 


`int "e"^x ((sqrt(1 - x^2) * sin^-1 x + 1)/sqrt(1 - x^2))`dx = ________.


The area of the region bounded by the X-axis and the curves defined by y = cot x, `(pi/6 ≤ x ≤ pi/4)` is ______.


Area under the curve `y=sqrt(4x+1)` between x = 0 and x = 2 is ______.


Equation of a common tangent to the circle, x2 + y2 – 6x = 0 and the parabola, y2 = 4x, is:


The area included between the parabolas y2 = 4a(x +a) and y2 = 4b(x – a), b > a > 0, is


The slope of a tangent to the curve y = 3x2 – x + 1 at (1, 3) is ______.


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


If area of the region bounded by y ≥ cot( cot–1|In|e|x|) and x2 + y2 – 6 |x| – 6|y| + 9 ≤ 0, is λπ, then λ is ______.


The area bounded by the curve, y = –x, X-axis, x = 1 and x = 4 is ______.


The area bounded by the curve `y = 3/2sqrtx`, the line x = 1 and x-axis is ______ sq. units.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×