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If (x^(2)+y^(2))(a^(2)+b^(2))=(ax+by)^(2...

If `(x^(2)+y^(2))(a^(2)+b^(2))=(ax+by)^(2)`, prove that `x/a = y/b`.

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`x/a`
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ZEN PUBLICATION-QUADRATIC EQUATIONS-ZEN ADDITIONAL QUESTIONS (SHORT ANSWER (SA) TYPE - 2 - QUESTIONS)
  1. Solve for 'x' : (1)/(a+b+x)=(1)/(a)+(1)/(b)+(1)/(x) " " a != 0, b!=0, ...

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  2. If (x^(2)+y^(2))(a^(2)+b^(2))=(ax+by)^(2), prove that x/a = y/b.

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  3. If 1 is the root of the quadratic equation 3x^(2)+ax-2=0 and the qua...

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  4. Divide 67 into two parts whose product is 1102.

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  5. Three consecutive natural numbers are such that the square of the mid...

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  6. A two-digit number is such that product of its digits is 18. When 63 i...

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  7. The perimeter of right-angled triangle is 30 cm and its hypotenuse is ...

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  8. The area of a right-angled triangle is 165m^(2). Determine its base a...

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  9. The speed of a boat in still water is 11 km/hr. It can go 12 km upstre...

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  10. A two digit number is such that the product of its digits is 18. when ...

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  11. A fast train takes 3 hours less than a slow train for a journey of 60...

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  12. 300 apples are distributed equally among a certain number of students....

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  13. 7 years ago Alka's age was 5 times the square of Swati's age. Three ye...

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  14. A' takes 6 days less than 'B' to complete a piece of work. If both w...

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  15. A peacock is sitting on the top of a pillar 9m high. From a point 27 m...

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  16. One-fourth of a herd of camels was seen in a desert. Twice the square ...

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  17. If the list price of a toy is reduced by Rs 2, a person can by 2 more...

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  18. To save fuel , to avoid air pollution and for good health two persons ...

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