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Quadratic Equations

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsThe two shorter sides of a right triangle are x cm and (x+2) cm, while its hypotenuse is 10 cm. What is the length of the larger of these two shorter sides?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsIn a right triangle, the perpendicular is 7 cm longer than the base and the hypotenuse is 25 cm. What is the approximate length of the base?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsThe difference between the length and breadth of a rectangle is 7 cm, and its area is 330 square cm. What is the perimeter of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsA rectangular park is to be fenced along two breadths and one length, with a total fencing of 96 m. What should its breadth be for the area of the park to be maximum?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsA farmer has (100) m fencing to enclose three sides of a rectangular field along a wall. When will the maximum area occur?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsA boat covers (24) km downstream and (16) km upstream in (4) hours. Its speed in still water is (10) km per hour. What is the speed of the current?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsA boat goes (30) km downstream and (20) km upstream in (5) hours. The speed of the boat in still water is (12) km per hour. What is the speed of the current?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsA bus travels 300 km. If its speed were 10 km/h less, it would take 1 hour more. What is its actual speed?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsA train covers 360 km. If its speed were 5 km/h more, it would take 1 hour less. What was its original speed?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe denominator of a fraction is (3) more than its numerator. If the sum of the fraction and its reciprocal is (\frac{29}{10}), what is the numerator?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsThe denominator of a fraction is 4 more than its numerator. If 2 is added to both the numerator and denominator, the fraction becomes \(\frac{3}{5}\). What is the original numerator?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsWhen (14) times a number is subtracted from its square, the result is (51). What is the larger positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsWhen 9 times a number is added to the square of the number, the result is 400. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsWhich positive number has a product of 330 with the number obtained by adding 7 to it?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsThe product of two consecutive positive odd integers is 483. Find the larger integer.Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsThe product of two consecutive positive even integers is 360. What is the smaller integer?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsWhen the side of a square field is increased by 4 m, its area increases by 96 m². What was the original side length?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsThe length of a rectangular garden is 5 m more than its breadth. If the area of the garden is 336 square metres, what is its breadth?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsThe length of a rectangle is 3 cm more than its breadth, and its area is 180 square cm. What is the breadth of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsA rectangle has perimeter 50 cm and area 150 cm². What are its length and breadth?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Medium