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Find the coordinates of the focus, axis, the equation of the directrix and latus rectum of the parabola `y^2=8x`.

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To solve the problem, we need to analyze the given equation of the parabola \( y^2 = 8x \) and extract the required information step by step. ### Step 1: Identify the standard form of the parabola The given equation is \( y^2 = 8x \). We can compare this with the standard form of a parabola that opens to the right, which is given by: \[ y^2 = 4ax \] ...
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NCERT-CONIC SECTIONS-SOLVED EXAMPLES
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  2. The focus of a parabolic mirror is at a distance of 5 cm from its ver...

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  4. Find the equation of the hyperbola with foci (0,+-3)and vertices (0,+-...

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  5. Find the equation of the ellipse, whose length of the major axis is 2...

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  6. Find the equation of the ellipse, with major axis along the x-axis an...

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  7. Find the coordinates of the foci, the vertices, the lengths of major ...

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  8. Find the equation of the ellipse whose vertices are (+-13 ,0)and foci ...

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  9. A beam is supported at its ends by supports which are 12 metres apart....

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  10. A rod AB of length 15 cm rests in between two coordinate axes in such...

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  11. Find an equation of the circle with centre at (0,0) and radius r.

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  12. Find the centre and the radius of the circle x^2+y^2+8x+10 y-8=0.

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  13. Find the equation of the circle with centre (–3, 2) and radius 4.

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  14. Find the coordinates of the focus, axis, the equation of the directri...

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  15. Find the equation of the circle which passes through the points (2,-2)...

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  16. Find the equation of the parabola with vertex at (0, 0) and focus at ...

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  17. Find the equation of the parabola with focus (2, 0) and directrix x=-2...

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  18. Find the coordinates of the foci, the vertices, the length of major a...

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  19. Find the equation of the parabola with vertex at origin, symmetric wit...

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