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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।

MathematicsA rectangle has length (2) m more than its breadth and area (120) square m. What is the breadth?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Easy MathematicsA rectangle has length 4 cm more than its breadth and area 96 cm². What is the breadth?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Easy MathematicsA rectangle has length (5) m more than its breadth and area (84) square m. What is its length?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Easy MathematicsThe sum of two numbers is (19) and their product is (90). What is the larger number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Easy MathematicsThe sum of two numbers is 17 and their product is 72. What is the smaller number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Easy MathematicsThe square of a positive number is (45) more than (4) times the number. What is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Easy MathematicsThe square of a positive number is (24) more than (5) times the number. What is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Easy MathematicsA number multiplied by its next integer gives (56). What is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Easy MathematicsA square field has area (225) square m. What is its perimeter?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Easy MathematicsA square garden has area (169) square m. What is its side?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Easy MathematicsA rectangle has breadth (6) m and area (96) square m. If its length is (x) m, which equation is correct?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Easy MathematicsA rectangle has length (3) cm more than its breadth and area (70) square cm. What is the breadth?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Easy MathematicsThe product of two consecutive positive integers is (132). What is the larger integer?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Easy MathematicsThe product of two consecutive positive integers is (72). What is the smaller integer?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Easy MathematicsIf x² − (a + b + 1)x + ab + a + b = 0, on what does the nature of the roots depend for a and b?Class 10Quadratic EquationsNature of RootsLevel 39Hard MathematicsIf \(x^2-(2a+5)x+(a+2)(a+3)=0\), where \(a\) is a real constant, what will be the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsA number problem leads to the equation \(n^2-2pn+(p^2-11p)=0\). What condition on \(p\) is necessary for the equation to have two real and distinct values of \(n\)?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsSuppose the quadratic equation \(ax^2+bx+c=0\) has two distinct real roots. Which condition definitely indicates that the roots have opposite signs?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsFor the quadratic equation \(ax^2+bx+c=0\) with real coefficients, where \(a\ne0\), if \(\frac{c}{a}<0\), which statement about its roots is correct?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsFor the parabola \(y=x^2-2kx+(k^2-16)\), at how many distinct points will it intersect the \(x\)-axis?Class 10Quadratic EquationsNature of RootsLevel 39Expert