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An arch is in the form of a parabola wit...

An arch is in the form of a parabola with its axis vertical. The arc is 10m high and 5m wide at the base. How wide is it 2m from the vertex of the parabola?

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To solve the problem step by step, we will follow the outlined process to find the width of the parabola 2 meters from the vertex. ### Step-by-Step Solution: 1. **Understand the Geometry of the Problem**: - The arch is in the form of a parabola that opens upwards with its vertex at the origin (0,0). - The parabola reaches a maximum height of 10 meters and has a width of 5 meters at the base. ...
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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Find the coordinates of points on the parabola y^2=8x whose focal dist...

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  2. If a parabolic reflector is 20 cm in diameter and 5 cm deep, find t...

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  3. An arch is in the form of a parabola with its axis vertical. The arc i...

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  4. If the vertex of a parabola is the point (-3,0) and the directrix is t...

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  5. The chord A B of the parabola y^2=4a x cuts the axis of the parabola a...

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  6. Prove that the chord y-xsqrt(2)+4asqrt(2)=0 is a normal chord of the p...

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  7. Find the point on the curve y^2=a x the tangent at which makes an angl...

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  8. Find the equation of the straight lines touching both x^2+y^2=2a^2 and...

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  9. Find the points of contact Q and R of a tangent from the point P(2,3) ...

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  10. Two straight lines (y-b)=m1(x+a) and (y-b)=m2(x+a) are the tangents of...

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  11. A pair of tangents are drawn to the parabola y^2=4a x which are equall...

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  12. Tangent are drawn from the point (-1,2) on the parabola y^2=4x . Find ...

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  13. Tangents are drawn to the parabola (x-3)^2+(y-4)^2=((3x-4y-6)^2)/(25) ...

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  14. Find the locus of point of intersection of tangents to the parabola y^...

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  15. Mutually perpendicular tangents T Aa n dT B are drawn to y^2=4a x . Th...

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  16. Tangent P Aa n dP B are drawn from the point P on the directrix of the...

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  17. A square has one vertex at the vertex of the parabola y^2=4a x and the...

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  18. P, Q, and R are the feet of the normals drawn to a parabola ( ...

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  19. The equation of the line that passes through (10 ,-1) and is perpendic...

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  20. The axis of a parabola is along the line y=x and the distance of its v...

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