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In the Dwarika residency colony, there i...


In the Dwarika residency colony, there is a circular park of diameter 13 metres. A pole has to erected at the point P on the boundary of circular park in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 metres.
In an equation does not have real roots, then it is said to be having ................... roots.

A

real

B

equal

C

imaginary

D

none of these

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Aniket is studying in X standard. He created a pole at on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gets A and B on the boundary is 7m. Find the area of triangle ABP.

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A pole has to be erected at a point on the boundary of a circular park of diameter 13 metres in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 metres.Is it the possible to do so? If yes,at what distances from the two gates should the pole be erected?

Aniket is studying in X standard. He is created a pole at on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gets A and B on the boundary is 7m. Find the distance between pole and gate B.

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Knowledge Check

  • A vertical pole stands at a point A on the boundary of a circular park of radius a and subtends an angle alpha at another point beta on the boundary. If the chord AB subtends an angle alpha at the centre of the park, the height of the pole is

    A
    `"2a sin"(alpha)/(2)tan alpha`
    B
    `"2a cos" (alpha)/(2)tan alpha`
    C
    `"2a sin" (alpha)/(2)cot alpha`
    D
    `"2a cos" (alpha)/(2)cot alpha`

  • A pole stands at a point A on the boundary of a circular park of radius a and subtends an angle alpha at another point B on the boundary. If the chord AB subtends an angle alpha at the centre of the path, the height of the pole is

    A
    `2a cos (alpha//2) tan alpha`
    B
    `2a sin (alpha//2) cot alpha`
    C
    `2a sin (alpha//2) tan alpha`
    D
    `2a cos (alpha//2) cot alpha`
    • OSWAL PUBLICATION-QUADRATIC EQUATIONS-SELF ASSESSMENT -1 (Case Study Based Questions:)
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    3. A rectangular park is to be designed whose breadth is 3 m less than it...

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    4. A rectangular park is to be designed whose breadth is 3 m less than it...

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    5. A rectangular park is to be designed whose breadth is 3 m less than it...

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    6. In the Dwarika residency colony, there is a circular park of diameter ...

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    7. In the Dwarika residency colony, there is a circular park of diameter ...

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    8. In the Dwarika residency colony, there is a circular park of diameter ...

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    9. In the Dwarika residency colony, there is a circular park of diameter ...

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    10. In the Dwarika residency colony, there is a circular park of diameter ...

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    11. A charity trust decides to build a prayer hall having a carpet area to...

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    12. A charity trust decides to build a prayer hall having a carpet area to...

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    13. A charity trust decides to build a prayer hall having a carpet area to...

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    14. A charity trust decides to build a prayer hall having a carpet area to...

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