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Find the angle of intersection of cur...

Find the angle of intersection of curve `x^2=27 y` and `y^2=8x`

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Given curves are,
`x^{2}=27 y ldots(1) `
`y^{2}=8 x ldots(2)`
From `(2)` we get
...
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RD SHARMA-TANGENTS AND NORMALS-Solved Examples And Exercises
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  2. Find the angle of intersection of curve x^2+4y^2=8 and x^2-2y^2=2

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  3. Find the angle of intersection of curve x^2=27 y and y^2=8x

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  4. Find the angle of intersection of curve x^2+y^2=2x and y^2=x

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  5. Find the angle of intersection of curve y=4-x^2 and y=x^2

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  6. Show that y=x^3 and 6y=7-x^2 intersect orthogonally:

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  7. Show that x^3-3x y^2=-2 and 3x^2\ y-y^3=2 intersect orthogonally:

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  8. Show that x^2+4y^2=8 and x^2-2y^2=4 intersect orthogonally

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  9. Show that x^2=4y and 4y+x^2=8 intersect orthogonally at (2,\ 1)

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  10. Show that x^2=y and x^3+6y=7 intersect orthogonally at (1,\ 1)

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  11. Show that y^2=8x and 2x^2+y^2=10 at (1,\ 2sqrt(2))

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  12. Show that the curves 4x=y^2 and 4x y=k cut at right angles, if k^2=...

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  13. Show that the curves 2x=y^2 and 2x y=k cut at right angles, if k^2=...

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  14. Prove that the curves x y=4 and x^2+y^2=8 touch each other.

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  15. Prove that the curves y^2=4x and x^2+y^2-6x+1=0 touch each other at th...

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  17. Find the condition for the two concentric ellipses a1x^2+\ b1y^2=1\...

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  19. Find the point on the curve y=x^2-2x+3 , where the tangent is pa...

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