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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।

MathematicsAt which points on the number line will the solutions of the equation \(x^2-25=0\) be located?Class 10PolynomialsRepresenting real numbers on the number lineLevel 50Medium MathematicsIf \(s(x)=x^2-16\), which points on the number line represent its zeros?Class 10PolynomialsRepresenting real numbers on the number lineLevel 50Medium MathematicsIf the zeroes of the polynomial \(p(x)=x^2-kx+36\) are positive and in the ratio 1:4, what is the value of k?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf the zeroes of the polynomial \(p(x)=x^2+px+q\) are 4 and −5, what is the value of \(p+q\)?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsIf \(p(x)=x^2-25\), which of the following is the positive value of \(a\) for which \(p(a)=0\)?Class 10PolynomialsPolynomials in one variableLevel 48Hard MathematicsIf \(p(x)=4x^2-12x+9\), which statement about its zeroes is correct?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf \(\alpha\) and \(\beta\) are the zeroes of the polynomial \(x^2-11x+30\), what is the value of \((\alpha-\beta)^2\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf the zeroes of the polynomial \(x^2-10x+q\) are \(2r\) and \(3r\), what is the value of \(q\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf \(\alpha\) and \(\beta\) are the zeroes of \(x^2-8x+k\) and \(\alpha-\beta=2\), what is the value of \(k\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf \(\alpha\) and \(\beta\) are the zeroes of the polynomial \(3x^2+2x-1\), what is the value of \((\alpha+\beta)^2\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf the zeroes of the polynomial \(x^2+ax+b\) are \(4\) and \(-7\), what is the value of \(a-b\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard Mathematics240 students are arranged in equal rows. If the number of rows is reduced by 4, each row will have 5 more students. What was the original number of rows?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Medium MathematicsThe difference between two positive numbers is 9, and the sum of their squares is 521. What is the smaller number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Expert MathematicsWhich of the following situations is generally represented by a quadratic equation?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Expert MathematicsThe square of a positive number is 60 more than 11 times the number. What is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Expert MathematicsThe product of the numbers obtained by subtracting 5 from and adding 5 to a number is 119. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Expert MathematicsA trader bought some pens for (1200) rupees. If each pen cost (10) rupees less, he would get (4) more pens. What was the original number of pens?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Expert MathematicsA shopkeeper bought x items for 720 rupees. If he had received 3 more items for the same total amount, the cost per item would have been 40 rupees less. What is the value of x?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Expert MathematicsTwo pipes fill a tank individually in \(x\) hours and \(x+6\) hours, respectively. Together, they fill the tank in 4 hours. How long does the faster pipe take to fill the tank alone?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Expert MathematicsOne pipe fills a tank (5) hours faster than another pipe. Together they fill the tank in (6) hours. In how many hours will the faster pipe alone fill it?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Expert