Question Bank - Mathematics

Here's the question bank on all the mathematics topics.

Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text

If (y + 2) is a common factor of ay2 + by + c and by2 + ay + c, then:

A.
a = b or a + b + c = 0
B.
a = c or a + b + c = 0
C.
b = c or a + b + c = 0
D.
a = b = c

Solution:

CALCULATION:Let f1(y) = ay2 + by + c & f2(y) = by2 + ay + cAs (y + 2) is the common factor of f1(y) and f2(y)? f1(- 2) = f2(- 2) = 0? a × (- 2)2 + b × (- 2) + c = b × (-2)2 + a × (-2) + c? 4a - 2b + c = 4b - 2a + c? 4a - 4b - 2b + 2a = 0? 4a + 2a - 4b - 2b = 0? 6a - 6b = 0? a - b = 0? a = bAs f1(- 2) = f2(- 2) = 0 ? f1(- 2) + f2(- 2) = 0? (4a - 2b + c) + (4b - 2a + c) = 0? 4a - 2a + 4b - 2b + c + c = 0? 2a + 2b + 2c = 0? a + b + c = 0 If (x - a) is the factor of the polynomial f(x), then f(a) = 0

For more questions,

Click Here

Download Gyanm App

free current affairs for competitive exams

Scan QR code to download our App for
more exam-oriented questions

free current affairs for competitive exams

OR
To get link to download app

Thank you! Your submission has been received. You will get the pdf soon. Call us if you have any question: 9117343434
Oops! Something went wrong while submitting the form.