Question

*ਸਮੀਕਰਣ (a-b)x² + (b-c)x + (c-a) = 0 ਦੇ ਮੂਲਾਂ ਦਾ ਗੁਣਨਫ਼ਲ ਕੀ ਹੈ ?*
1️ (c-a) / (b-a)
2️ (b-c) / (a-b)
3️ (c-a) / (a-b)
4️ (b-c) / (b-a)​

Answer 1

Answer:

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

The product of the values of equation

(a-b) x² + (b-c) x + (c-a) = 0

1. (c-a) / (b-a)

2. (b-c) / (a-b)

3. (c-a) / (a-b)

4. (b-c) / (b-a)

EVALUATION

Here the given equation is

(a-b) x² + (b-c) x + (c-a) = 0 - - - - - (1)

The variable is x

The highest power of its variable that appears with nonzero coefficient is 2

Degree of the equation = 2

Thus the equation is a quadratic equation

Comparing with the general equation

Ax² + Bx + C = 0 we get

A = ( a - b ) , B = ( b - c ) , C = ( c - a )

Sum of the zeroes = - B/A = - ( b - c )/( a - b )

Product of the zeroes = C/A = ( c - a )/( a - b )

FINAL ANSWER

Hence the correct option is 3. ( c - a )/( a - b )

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