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Find the area, lying above the x-axis an...

Find the area, lying above the `x`-axis and included between the circle `x^2+y^2=8x` and the parabola `y^2=4x`.

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To find the area lying above the x-axis and included between the circle \(x^2 + y^2 = 8x\) and the parabola \(y^2 = 4x\), we will follow these steps: ### Step 1: Rewrite the equations First, we rewrite the equations of the circle and the parabola in a more usable form. 1. **Circle**: \[ x^2 + y^2 - 8x = 0 \implies (x - 4)^2 + y^2 = 16 ...
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XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
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  2. If A is a non-singular square matrix of order 3 such that A^2= 3A, the...

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  3. Find the area, lying above the x-axis and included between the circle ...

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  4. check whether the relation R in the set N of natural numbers given by ...

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  5. Given a skew symmetric matrix A = [ (0, a , 1),(-1, b, 1),(-1, c, 0)],...

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

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  7. Find the points of intersection of the line vecr = (2hati - hatj + 2h...

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  8. Prove that tan^(-1) (1/4) + tan^(-1) (2/9) = 1/2 sin^(-1) (4/5)

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  9. The vectors 3 hat i- hat j +2 hat k', 2 hat i+hat j + 3 hat k and hat ...

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  10. Find : int{(x^3 + 1)/(x^3-x)}dx

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  11. If tan^(-1)(Y/X) = log (sqrt(X^2+Y^2)) , prove that (dy/dx) = ((X+Y)/(...

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  12. Find the shortest distance between the lines vecr = 2hati - hatj + hat...

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  13. Find: int((tan^(3)x)/(cos^(3)x)) dx

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  14. Solve the following differential equation: (1+ e ^(y/x)) dy + e^(y...

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  15. Find f'(x) if f(x) = tan x^(tan x)

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  16. If y=e^(acos^(-1)x),-1lt=x<1, show that (1-x^2)(d^2y)/(dx^2)-x(dy)/(d...

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  17. If f(x) = sqrt ((sec x -1)/(sec x + 1)) , find f'( pi /3)

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  18. The area of the triangle formed by the vertices O, A, and B, where vec...

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  19. If A = [(5, -1, 4), (2, 3, 5), (5, -2, 6)] , find A^(-1) and use it t...

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  20. The vectors 3hati - hatj +2hatk, 2hati+hatj+3hatk and hati+lambdahatj-...

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