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Quadratic Formula

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

MathematicsThe area of a right triangle is 84 square cm, and one perpendicular side is 5 cm longer than the other. What is the length of the shorter perpendicular side?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsWhen 27 times a positive number is subtracted from its square, the result is 1000. What is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsA car covers a distance of 720 km. Its speed is \(x\) km per hour, and the time taken to cover this distance is \((x-72)\) hours. What is the speed of the car?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe difference between the square of a positive number and 20 times the number is 621. What is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsThe square of a number is 432 more than 18 times the number. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsThe product of the number that is 7 less than a number and the number that is 12 more than it is 756. What is the positive value of the original number?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 41HardMathematicsThe length of a rectangle is 5 m more than its breadth. If the length is increased by 3 m and the breadth by 2 m, the new area becomes 462 square metres. What was the original breadth of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40HardMathematicsThe product of the numbers that are 3 and 7 more than a positive number is 600. What is the original number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40HardMathematicsA farmer makes a rectangular field with an area of 200 square metres. The length of the field is 5 metres more than its breadth. What is the length of the field?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40MediumMathematicsWhat is the correct formula of the discriminant in (ax^2+bx+c=0)?Class 10Quadratic EquationsNature of RootsLevel 39EasyMathematicsWhat is the value of the discriminant \(D\) of the quadratic equation \(3x^2+2x+1=0\)?Class 10Quadratic EquationsNature of RootsLevel 38EasyMathematicsWhat are the roots of (x^2-22x+79=0) by quadratic formula?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 36ExpertMathematicsWhat are the roots of (x^2-14x+13=0) by quadratic formula?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 36ExpertMathematicsWhat are the roots of (x^2-19x+56=0) by quadratic formula?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35ExpertMathematicsWhat are the roots of (x^2-12x+11=0) by quadratic formula?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35ExpertMathematicsWhat are the roots of (x^2-16x+37=0) by quadratic formula?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34ExpertMathematicsWhat are the roots of the equation \(x^2+10x+6=0\)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34ExpertMathematicsWhat are the roots of (x^2-10x+7=0) by quadratic formula?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34ExpertMathematicsWhat are the roots of (x^2-13x+22=0) by quadratic formula?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 36Hard