(a) Given that \( \alpha>0, \beta>0 \) and \( \alpha^{2}+\beta^{2}=\frac{17}{4},(\alpha-1)(\beta-1)=-\frac{1}{2} \). Find the quadratic equation whose roots are \( \alpha \) and \( \beta \).

1) Sum of edges of mother and her daughter is 55 and diffrent between ther ages is 25 find there ages.

The Square root of \( 18+8 \sqrt{2} \)

Find the square not of \( 10+2 \sqrt{21} \)

₹ 600 को \( A, B \) तथा \( C \) में इस प्रकार वितरित किया गया है कि \( A \) के \( \frac{2}{5} \) से 40 रु॰ अधिक, \( B \) के \( \frac{2}{7} \) से ₹ 20 अधिक तथा \( C \) के \( \frac{9}{17} \) से ₹ 10 अधिक परस्पर बराबर हैं. इनमें से \( A \) का भाग कितना है ? \( \begin{array}{lll}\text { (n) ₹ } 150 & \text { (h) ₹ } 170 & \text { (n) }\end{array} \)

7. Simplify \( \frac{3=3 \sqrt{2}}{3+2 \sqrt{2}} \) \( \begin{array}{lll}\text { A. } 1 & \text { B. } 17=\sqrt{2} & \text { C. } 17\end{array} \)