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# Class 10 Math Quadratic Equations

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Class 9Class 10First YearSecond Year

$1. Multiple Choice QuestionsFour possible answers are given for the following questions. Tick (\checkmark) the correct answer.(i) If \alpha \beta are the roots of 3 x^{2}+5 x-2=0 then \alpha+\beta is(a) \frac{5}{3} (b) \frac{3}{5} (c) \frac{-5}{3} (d) \frac{-2}{3}$

Q.13 Roots of ratic equation 2 x^{2}+3 x+1=0 are :(a) \frac{1}{2}-1 (b) -\frac{1}{2} 1 (c) -\frac{1}{2}-1 (d) 1-1 Faisalabad Board 2013

$Q.13 Roots of ratic equation 2 x^{2}+3 x+1=0 are :(a) \frac{1}{2}-1 (b) -\frac{1}{2} 1 (c) -\frac{1}{2}-1 (d) 1-1 Faisalabad Board 2013$

1. Without solving find the sum and the product of the roots of the following ratic equations.(ii) 3 x^{2}+7 x-11=0

$1. Without solving find the sum and the product of the roots of the following ratic equations.(ii) 3 x^{2}+7 x-11=0$

2. Write short answers of the following questions.(viii) Define reciprocal equation.

$2. Write short answers of the following questions.(viii) Define reciprocal equation.$

Solve the following equations.9. \frac{x-a}{x+a}-\frac{x+a}{x-a}=\frac{7}{12}

$Solve the following equations.9. \frac{x-a}{x+a}-\frac{x+a}{x-a}=\frac{7}{12}$

2 . Evaluate(i) \left(1-\omega-\omega^{2}\right)^{7}

$2 . Evaluate(i) \left(1-\omega-\omega^{2}\right)^{7}$

Solve the following equations.2. \sqrt{x+3}=3 x-1

$Solve the following equations.2. \sqrt{x+3}=3 x-1$