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Find the equation of the parabola which ...

Find the equation of the parabola which is symmetric about the x-axis and passes through the point `(2, -6)`.

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To find the equation of the parabola that is symmetric about the x-axis and passes through the point (2, -6), we can follow these steps: ### Step 1: Understand the form of the parabola Since the parabola is symmetric about the x-axis, it can be represented in the form: \[ y^2 = 4ax \] where \( a \) is a constant that determines the width and direction of the parabola. ### Step 2: Substitute the given point into the equation ...
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AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-Try ypurself
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  11. Find the equation of an ellipse whose eccentricity is (3)/(5) and co-...

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  12. If the length of the latus rectum of an ellipse with major axis along ...

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  13. The length of the latus rectum of an ellipse with major axis along x-a...

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  14. The eccentricity of the ellipse is (2)/(5) and the distance between th...

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  15. Find the length of the latus rectum of the ellipse if the eccentricity...

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  16. Find the co-ordinates of the foci and the vertices, the eccentricity a...

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  17. For the hyperbola, 3y^(2) - x^(2) = 3. Find the co-ordinates of the fo...

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  19. Find the equation of the hyperbola with foci : (0, pm sqrt(13)) and ve...

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