24-quadratic equation - NCERT ↑↑↑↑↑

In the centre of a rectangular lawn of dimensions 50 m × 40 m, a rectangular pond has to be constructed so that the area of the grass surrounding the pond would be 1184 m [see Fig]. Find the length and breadth of the pond.

                 

 NCERT EXEMPLARY QUESTIONS

23-quadratic equation --- NCERT ↑↑↑↑

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22-quadratic equation -- NCERT ↑↑↑↑↑

At present Asha’s age (in years) is 2 more than the square of her daughter Nisha’s age. When Nisha grows to her mother’s present age, Asha’s age would be one year less than 10 times the present age of Nisha. Find the present ages of both Asha and Nisha.

 NCERT EXEMPLARY QUESTIONS

21-quadratic equation --- NCERT ↑↑↑

If Zeba were younger by 5 years than what she really is, then the square of her age (in years) would have been 11 more than five times her actual age. What is her age now?

NCERT EXEMPLARY QUESTIONS 

20-quadratic equation -- NCERT ↑↑↑

A train, traveling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same distance if its speed were 5 km/h more. Find the original speed of the train.

NCERT  EXEMPLARY QUESTIONS

19-quadratic equations ---- NCERT ↑↑

A natural number, when increased by 12, equals 160 times its reciprocal. Find the number.

NCERT EXEMPLARY QUESTIONS

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18-quadratic equation --- NCERT ↑↑

Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given number.          

 NCERT EXEMPLARY QUESTIONS

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trigonometry ↑↑↑

trigonometry ↑↑↑