If x=1+2a+3a²+4a²+……( -1 < a < 1 ) and y=1+3b+6b²+10b³+……( -1 < b < 1 )then find 1+ab+(ab)²+(ab)³+….. in terms of x and y.

The cost of 8 Sharpeners and 12 Pens is Rs. 76/- What is the cost of 20 Sharpeners and 30 Pens?

If n(x) = x² - 10x, then n(-10) =

Let x and y be consecutive integers. Suppose m be the number of solutions of x³ − y³ = 3k² and n be the number of solutions of x³ − y³ = 2t²,where k, t are integers. Then m + n equals:

If (x + 4) (x + 6) (x +1) ²> 0, then the solution set for the inequality is

If 5x + 9 > 3x + 19, what is the range of values x can take?

The g.c.d. of x₃ + x₂ – x – 1 and x₂ – 1 is

The total number of integer pairs (x, y) satisfying the equation x + y = xy is

If a, b and c are the sides of a triangle and a⁴ + b⁴ + 2a²b² = c⁴, then the triangle is

Which of the following is true?