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Represent the folloowing situations in the form of quadratic equations : (1) The length of the hypotenus of an isosceles right angled triangle is 10 cm. We need to find the length of each of two equal sides.
(2)The sum of squares of two consecutive odd positive integers in 970. We need to find those integers.
(3) While selling an article for Rs. 96, the profit in percentage is equal to its cost price in rupees. We need to find the cost price of the article.
(4) When there is a decreases of 10 km/h in the usual speed of a train, it takes `4(1)/(2)` hours more to cover 900km. We need to find the usual speed of the train.
(5) The sum of squares of two parts of 31 is 481. We need to find those two parts.

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KUMAR PRAKASHAN-QUADRATIC EQUATIONS-Test Your Skills
  1. Check whether the following are quadratic equations : (1) (x-3)^(2)=...

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  2. Represent the folloowing situations in the form of quadratic equations...

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  3. The sum of the squares of two positive numbers is 233 and one number i...

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  4. Find three consecutive integers such that the square of the first incr...

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  5. A two digit number such tha the product of the digits is 20. If 9 is s...

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  6. A alone takes 6 days less than the number of days taken by B alone to ...

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  7. The denominator of a fraction is one more than twice the numerator. If...

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  8. Find the roots of the following quadratic equations (if they exist) by...

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  9. Using quadratic formula, solve the following quadratic equations : (...

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  10. Solve the following for x : x^(2)+(1)/(x^(2))=(82)/(9) (2) x^(2)+(1...

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  11. The speed of a boat in still water is 15 km/h. It can go 30 km upstrea...

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  12. A girl is twice old as her sister. Four years hence, the product of th...

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  13. The area of an isosceles triangle is 60cm^(2) and the length of each o...

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  14. Two pipes running together can fill a tank in 11(1)/(9) minutes. If on...

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  15. A shopkeeper buys a number of books for Rs. 80, If he had bought 4 mor...

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  16. For the equation px^(2)+4sqrt(3)x+3=0, find the value of p, so that ...

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  17. Determine k so that the equation x^(2)-3kx+64=0 has no real roots.

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  18. The hypotenuse of a right triangle is 3sqrt(10) cm. If the smaller leg...

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  19. Determine the positive values of k for which the equation x^(2)+kx+64=...

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