If the equations x^2 + ax + bc = 0 and x^2 + bx + ca = 0 have a common root (and a ≠ b), then the other roots are:
Type: MCQ • Marks: 1
If the equations x^2 + ax + bc = 0 and x^2 + bx + ca = 0 have a common root (and a ≠ b), then the other roots are:
Options
A. b and a
B. c and a
C. -a and -b
D. b and c
Explanation
Common root is c. Product of roots of first equation is bc, so other root is b. Product of roots of second equation is ca, so other root is a. Thus the other roots are b and a.
Want to attempt the full test series with a timer and instant score? Purchase the package to unlock the complete test.
Purchase Now
UP TGTMathematics
Practice more
This page is indexed for search so students can find questions directly from Google.
