Question
If all the letters in the word ‘SYMBOLIZE’ are
arranged in alphabetical order from left to right such that the vowels are arranged first followed by the consonants, how many alphabets are there which do not change their positions in the new arrangement?Solution
Given word -S Y M B O L I Z E After change - E I O B L M S Y Z
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 4x² - 12x + 9 = 0
Equation 2: 2y² + 8y + 6 = 0
I. 5x + 2y = 31
II. 3x + 7y = 36
I. 2x2 + 3x - 9 = 0
II. 3y2 - y - 10 = 0
I. 6y2 – 23y + 20 = 0
II. 4x2 – 24 x + 35 = 0
I. 6x² - 49x + 99 = 0
II. 5y² + 17y + 14 = 0
(i) 2x² – 9x + 10 = 0
(ii) 4y² – 12y + 9 = 0
I. 84x² - 167x - 55 = 0
II. 247y² + 210y + 27 = 0
I. 2x2 – 5x – 12 = 0
II. 2y2 + 13y + 20 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 13x² - 60x + 47 = 0
Equation 2: 17y² - 80y + 63 = 0
One of the roots of the equation x² – 12x + k = 0 is x = 3. The other root is ___________.