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A rod AB of length 15 cm rests in betwee...

A rod AB of length `15` cm rests in between two coordinate axes is such a way that the end point A lies on x-axis and end Point B lies on y-axis. A point P (x,y) is taken on the rod in such a way that `AP=6cm` . Show that the locus of P is an ellipse.

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KUMAR PRAKASHAN-CONIC SECTIONS-TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK
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  2. Find the equation of the circle with centre (-3,2) and radius 4.

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

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  5. Find the coordinates of the focus , axis, the question of the directri...

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

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

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  8. Find the equation of the parabola which is symmetric about y-axis, and...

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  9. Find the coordinates of the foci, the vertices, the length of major ax...

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  10. Find the coordinates of the foci, the vertices, the lengths of major a...

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

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  12. Find the equation of the ellipse, whose length of the major axis is 20...

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  13. Find the equation of the ellipse, with major axis along the x-axis and...

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  14. Find the corrdinates of the foci and the vertices, the eccentricity, t...

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

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  16. Find the equation of the hyperbola where foci are (0,+-12) and the len...

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  17. The focus of a parabolic mirror as shown in Fig. is at a distance of 5...

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

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

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