Given 0 -7
Multiplying throughout by -1,we get0 7 [ When both sides of an inequality are multiplied by a negative number ,then the sign of inequality is reversed]
The line which passes through the point ( 0 , 1 ) and perpendicular to the line x – 2y + 11 = 0 is
The line which is perpendicular to the given line is 2x + y + k = 0
Since it passes through (0,1)
2(0) + 1 + k = 0
This implies k = -1
Hence the equation of the required line is 2x + y - 1 = 0
For each n N , n (n + 1 ) ( 2n + 1 ) is divisible by :