If 5, 5r, 5r² are the lengths of the sides of a triangle, then r cannot be equal to :

If the line 3x + 4y – 24 = 0 intersects the x-axis at the point A and the y-axis at the point B, then the incentre of the triangle OAB, where O is the origin, is :

The sum of all two digit positive numbers which when divided by 7 yield 2 or 5 as remainder is -

If the third term in the binomial expansion
of $${\left( {1 + {x^{{{\log }_2}x}}} \right)^5}$$ equals 2560, then a possible value of x is -