Question
The Tropic of Cancer does not pass through which of
these countries neighboring India?Solution
The Tropic of Cancer passes through India and its neighbors, Myanmar, Bangladesh, and China, but not through Bhutan, which lies entirely north of this latitude.
Find the value of ‘x’ in the given expression:
(49/16)x × (64/343)x-1 = 4/7

If √k + (1/√k) = 8, then find the value of k + (1/k).
What is the HCF of (x³ + 3x² - x - 3) and (x³ + 4x² + x - 6)?
If, 4x + y = 10, and 2xy = 8, and 4x > y, then find the value of 64x³ – y³.
Evaluate (998)3 without multiplying directly.
If, ( a + b = 12 ) and ( a² + b² = 80 ), then find the value of (a³ + b³). Â
If n = 3 + √2, then find the value of (n + 1/n)².
 If f(x) = 3x² − 7x + 5, find f(2a) − 4f(a).
If 2x + y = 10 and 3x - 2y = 5, find the value of x + y.