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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 side of a square is \(x+6\) cm and its area is \(1225\ \text{cm}^2\). If the side length is positive, what is the value of \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsA square park has the same area as a rectangular park. The side of the square is 42 m, while the rectangle has breadth \(x\) m and length \((x+20)\) m. What is the exact value of the rectangle’s breadth \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsA rectangular field has perimeter (154) m and area (1480) square m. What is the shorter side?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsA rectangle has an area of 888 square cm, and its length is 13 cm more than its breadth. What is the perimeter of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsA rectangle has length (10) m more than its breadth and diagonal (74) m. What is the breadth?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsThe length of a rectangle is 18 cm more than its breadth, and its area is 1240 square cm. What is the length of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsA rectangle has length (14) m more than its breadth and area (1152) square m. What is the breadth?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsThe sum of two positive numbers is 65 and the sum of their squares is 2125. What is the smaller number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsThe difference between two positive numbers is 13 and their product is 558. What is the larger number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsThe sum of squares of two consecutive even positive numbers is (1924). What is the larger number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsThe sum of the squares of two consecutive odd positive integers is 1570. What is the smaller integer?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsThe sum of squares of two consecutive positive integers is (841). What is the smaller integer?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsIn a work problem, person (A) takes (5) days less than person (B). Together they complete the work in (6) days. How many days will (B) alone take?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsIn a two-digit number, the tens digit is 3 more than the units digit and the product of the digits is 18. What is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41EasyMathematicsA rectangular plot has a perimeter of 60 metres and an area of 216 square metres. What is the length of its longer side?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsIn a tournament, each team plays exactly one match against every other team. If a total of 28 matches were played, how many teams participated?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsIn a group, each person shakes hands with every other person exactly once. If the total number of handshakes is 66, how many people are in the group?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsIn an examination, if the number of correct answers is \(x\), the marks obtained are \(x(30-x)\). If a student obtains 216 marks, what is the larger value of \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsA shopkeeper sells each item for \(x\) rupees and sells a total of \(80-x\) items. If his total revenue is 1500 rupees, what is the smaller value of \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsA rectangular field is 30 metres long and 18 metres wide. A path of uniform width is constructed all around the outside of the field. The total area of the field and the path is 748 square metres. What is the width of the path?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Medium