Solve the following.
Subtract \(\frac{9}{2}+\frac{x}{2}+\frac{3}{5}x^2+\frac{7}{4}x^3\) from \(\frac{7}{2}-\frac{x}{3}-\frac{1}{5}x^2\).
\(1-\frac{5}{6}x+\frac{4}{5}x^2+\frac{7}{4}x^3\)
\(-1-\frac{5}{6}x-\frac{4}{5}x^2-\frac{7}{4}x^3\)
\(1-\frac{5}{6}x-\frac{4}{5}x^2+\frac{7}{4}x^3\)
\(1-\frac{5}{6}x+\frac{4}{5}x^2-\frac{7}{4}x^3\)
Which of the following group of states falls in the category of 'aspirants' as per the 'Sustainable Development Goals India Index' released by NITI Aayog in 2019?
Uttar Pradesh, Bihar, Assam
Sikkim, Punjab, Haryana
Telangana, Karnataka, Goa
Kerala, Himachal Pradesh, Tamil Nadu
In the given figure, if PB = 20 cm and OA = 15 cm, then find the shortest distance between the circle and P.
In a class of 46 students, 18 play carom; 17 play chess, including 6 who play carom; 16 play cards, including 4 who play chess, but not carom; and 5 play only tennis. Which of the following figures represents these facts?