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There is a road of equal width around th...

There is a road of equal width around the outside of a rectangular play-ground having the length a m and breadth b m and the area of the road is A square-metre. Find the required quadratic equation .

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The correct Answer is:
`4x^(2)+(2a+2b)x-A=0`
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CALCUTTA BOOK HOUSE-QUADRATIC EQUATION IN ONE VARIABLE-EXERCISE-1.1
  1. Explain the term 2x^(2)+4x-5=(x-3)(x+4)+2 in the form of ax^(2)+bx+c=0...

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  2. Explain the equation (x-1)^(3)=x^(2)(x+2) in the quadratic form of ax^...

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  3. Form a quadratic equation in one variable from the following statement...

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  4. Explain the term x-(1)/(2x)+2=8(xne0) in the standard form of ax^(2)+b...

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  5. Which of the following polynomials are quadratic polynomials ?

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  6. Express the following eqautions in the form of ax^(2)+bx+c=0, where a,...

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  7. Determine for which power of the variable x, the equation x-6sqrtx+2=0...

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  8. Find for what value of a the equation (a-1)x^(2)+x(x+2)+8=0 is not a q...

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  9. Express the term (x)/(k-x)=(1)/(4x)(xne0,xnek) in the quadratic equati...

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  10. Find the coefficient of x^(3),x^(2),xandx^(0) of the equation (x-1)^(5...

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  11. a is divided into two such parts that one part is equal to the square ...

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  12. The product of two consecutive positive odd numbers is 323.

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  13. The length of the diagonal of a rectangle is 13m and the length of it ...

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  14. The distance between two station is d km. A train went the second stat...

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  15. A person bought some kg of suger for Rs p. If he would get 8 kg sugar ...

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  16. A clock-seller sold a clock in RS (alpha+beta) by purchasing it. Then ...

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  17. If the speed of the stream is a km/hr, then the time taken by Prosanta...

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  18. There is a road of equal width around the outside of a rectangular pla...

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  19. The unit digit of a two digit number exceeds its tens' digit by 7 and ...

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  20. The time taken to clean out a garden by Priyo is t(1) hours more then ...

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