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Find the area enclosed between the para...

Find the area enclosed between the parabola `y^2=4a x`and the line `y = m x`.

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To find the area enclosed between the parabola \( y^2 = 4ax \) and the line \( y = mx \), we will follow these steps: ### Step 1: Find the Points of Intersection To find the area between the two curves, we first need to determine where they intersect. We set the equations equal to each other. 1. Substitute \( y = mx \) into \( y^2 = 4ax \): \[ (mx)^2 = 4ax ...
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NCERT-APPLICATION OF INTEGRALS-MISCELLANEOUS EXERCISE
  1. The area of the circle x^2+y^2=16 exterior to the parabola y^2=6x is (...

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  2. Using the method of integration find the area bounded by the curve |x...

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  3. Find the area bounded by the curve y = sin x between x = 0 and x=2pi.

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  4. Using the method of integration find the area of the triangle ABC, co...

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  5. Area bounded by the curve y=x^3, the x-axis and the ordinates x = 2a...

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  6. Find the area of the region lying in the first quadrant and bounded b...

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  7. Find the area bounded by curves {(x ,y):ygeqx^2 and y = | x |}

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  8. Find the area of the region {(x ,y): y^2lt=4x ,4x^2+4y^2lt=9}

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  9. Find the area of the smaller region bounded by the ellipse (x^2)/9+(y...

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  10. Find the area of the smaller region bounded by the ellipse (x^2)/(a^2...

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  11. Sketch the graph of y = |x + 3|and evaluateint-6 ^0|x+3|dx.

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  12. Find the area enclosed between the parabola y^2=4a xand the line y = ...

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  13. Find the area enclosed by the parabola 4y=3x^2 and the line 2y=3x+12.

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  14. Find the area under the given curves and given lines:(i) y=x^2,x = 1,...

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  15. the area between the curves y= x^2 and y =4x is

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  16. Using the method of integration find the area of the region bounded b...

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  17. Find the area of the region enclosed by the parabola x^(2)=y and the l...

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  18. The area bounded by the curve y = x | x |, x-axis and the ordinates x...

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  19. The area bounded by the y-axis, y = cos xand y = s in xwhen 0lt=xlt=p...

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