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Find the fraction less than one such tha...

Find the fraction less than one such that the sum of the numerator and denominator is 10 and the difference between the fraction and its reciprocal is `(40)/(21)`.

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The correct Answer is:
`(3)/(7)`;
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CALCUTTA BOOK HOUSE-QUADRATIC EQUATION IN ONE VARIABLE-EXERCISE-1.4
  1. Express the equation px^(2)+r=0 in the standard quadratic equation fo...

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  2. Express the equation lx^(2)+mx+n=0 in a perfect square form.

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  3. Solve the equation 2x^(2)+x-10=0 by perfect square method.

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  4. What is the value of k if in the solution of the equation 7x^(2)+x-1=0...

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  5. Solve the quadratic equation alphax^(2)+betax+gamma=0 by perfect squar...

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  6. Solve by applying Sreedhar Acharya's formula - (b-1)x^(2)+cx+d=0

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  7. Determine a natural number which is less by 12 than its square.

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  8. Somen has drawn a right-angled triangle, the hypotenuse of which is 3 ...

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  9. The speed of Laxmi is 1m /sec more than that of Salma. To travel a dis...

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  10. In our village, Sankarbabu bought 350 chilli plants for planting in hi...

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  11. Durgadebi went to the market and saw that the price of dal of 1 kg is ...

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  12. Divide 50 into two parts such that the sum of their reciprocals may be...

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  13. If the price of pins decreases 2 paise per dozen, then the buyer will ...

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  14. A boatman can row 7 km down a river and back in 4(2)/(3) hours. If the...

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  15. The sum of the squares of two consecutive numbers is 145. Find them.

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  16. Divide unity into two parts such that the sum of their cubes is (7)/(...

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  17. ax^2 +bx +c=0 is a quadratic equation then

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  18. Find a fraction which assumes twice or thrice its orginal value when 2...

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  19. Find the fraction less than one such that the sum of the numerator and...

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  20. Number of roots in a quadratic equation is

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