Question

Teacher gave Sooraj an expression 4x²-9 and Reena an expression 25a²-40a+16

(i)What is the factors of expressions given to Sooraj?

(a) (2x+3) (2x+3) (b) (2x+3) (2x-3) (c) (3x+2) (3x+2) (d) (3x+2) (3x-2)

(ii) Which among is the identity used by Reena

(a) (a+b) ² (b) (a-b) ² (c) a²+b ² (d) a²-b ²

(iii) Find the factors of the expression of Reena

(a) (5a-4)² (b) (5a²-4²) (c) (5a-4)(5a+4) (d) (5a+4)²

(iv) What is the value of the expression given to Reena when a = 2

(a) 26 (b) 125 (c) 50 (d) 36

(2×4=8)​

Answer 1

• The astronomical unit is a unit of length, roughly the distance from Earth to the Sun and equal to about 150 million kilometres or ~8 light minutes. The actual distance varies by about 3% as Earth orbits the Sun, from a maximum to a minimum and back again once each year.
• Shivaji was born at the hill fort of Shivneri on 1 March 1630, which corresponds to 19 February 1630 of the Julian calendar used by the contemporary English traders in India. At the time of his birth, the families of his father Shahaji and his mother Jijabai both served the Ahmednagar Sultanate in military and administrative capacities, although they subsequently transferred their allegiance to the Mughal Empire and the Bijapur Sultanate at different times.
• As a servant of Bijapur, Shahaji was deputed in southern Deccan after 1636, and did not see Shivaji for several years. Shivaji and his mother remained in Pune in northern Deccan, where Shahaji's subordinate Dadoji Kondadeo administered the family's jagir (feudal land grant) in Shivaji's name. As a teenager, at the age of 15 years, he took a oath at the Raireshwar temple, to establish Hindavi Swaraj. Shivaji started acting independently of the Bijapur government, against the advice of Shahaji and Dadoji. He captured several hill forts which included Torana, Rajgad etc. at the expense of other vassals of Bijapur, and by the age of 15, started calling himself a raja (king). He also built a fort by the money he got during the construction at Torana, which was the blessing of Goddess Toranjai, which was named Pratapgad.