Question
Let , be the roots of (x – a) (x – b) (x – c) = d, , then the roots of the equation are :
a + 1, b + 1, c + 1
a, b, c
a – 1, b – 1, c – 1
a + 1, b + 1, c + 1
a, b, c
a – 1, b – 1, c – 1
The correct answer is: a, b, c
Step by step solution:
Given, (x – a) (x – b) (x – c) = d
Therefore, we have
For equation,
we have,
and,
Thus, a, b, c are the roots of the equation .
Hence, option(c) is the correct option.
Related Questions to study
Which word contains the root word that means to look/See ?
Which word contains the root word that means to look/See ?
Where in the word is a suffix added?
Where in the word is a suffix added?
Exhaustive set of value of x satisfying log|x| (x2 + x + 1) ≥0 is –
Exhaustive set of value of x satisfying log|x| (x2 + x + 1) ≥0 is –
The expression lies in the interval ; (x ε R) –
The expression lies in the interval ; (x ε R) –
Write the dialogue form of the statement
Matilda said that she would run
Write the dialogue form of the statement
Matilda said that she would run
For every x ε R, the polynomial x8 - x5 + x2 - x + 1 is :
For every x ε R, the polynomial x8 - x5 + x2 - x + 1 is :
If the roots of the quadratic equation x2 + 6x + b = 0 are real and distinct and they differ by atmost 4 then the least value of b is –
If the roots of the quadratic equation x2 + 6x + b = 0 are real and distinct and they differ by atmost 4 then the least value of b is –
The number of positive integral solutions of the inequation is
The number of positive integral solutions of the inequation is