The HCF of x⁸ – 1 and x⁴ + 2x³ – 2x – 1 is :

if 3sin²θ – cosθ-1=0, 0⁰< θ<90⁰, then what is the value of cot θ + cosec θ?

Answer the following questions

If 35% of a number is subtracted from the second number the second number reduces to its four–fifths. What is the ratio the first number to the second number?

Out of the given responses, one of the factors of (a² – b² )3 + (b² – c²) 3 + (c² – a²) 3 is

4% of the selling price of an article is equal to 5% of its cost price. Again 20% of the selling price is Rs. 120 more than 22% of its cost price. The ratio of cost price & selling price is 

The radius of a wire is decreased to one third. If volume remains the same, length will increase by :

What is the area (in sq. units) of the triangle formed by the graphs of the equations 2x+5y-12=0, x+y=3 and y = 0?

A prism with a right triangular base is 25 cm high. If the shorter sides of the triangle are in the ratio of 1 : 2 and the volume of the prism is 100 cm³ , what is the length of the longest side of the triangle?