Q 14 17 and 18

​Q14. Write HCF and LCM of the smallest odd composite number and the smallest odd prime number. If an odd number p divides q² , then will it divide q³ also? Explain.


Q17. ABC is an isosceles triangle is which AB = AC = 10 cm and BC = 12 cm. PQRS is a rectangle inside the isosceles triangle. if PQ = SR = Y cm, PS = QR = 2x, then prove that x = 6 – 3y/4.


Q18. In $∆$ABC, let D be a point on BC such that $\frac{\mathrm{BD}}{\mathrm{DC}}=\frac{\mathrm{AB}}{\mathrm{AC}}$. Prove that AD is the bisector of $\angle A$. Q 14 17 and 18