Question

if sin (teta) and cos ( teta) are the roots of the equation ax2- bx c=0, then a correct statement is​

Answer 1

Answer:

As sin y and cos y are the roots of the equation ax^2 + bx + c =0, Therefore, sin y + cos y = -b/a & sin y * cos y = c/a.

-b/a = sin y + cos y, on squaring both side,

or, b^2/a^2 = sin^2 y+ cos^2 y + 2sin y* cos y

or , b^2/a^2 = 1 + 2 *c/a ( as sin y * cos y = c/a )

or , b^2 = a^2 + 2*c *a^2/a

or, a^2 - b^2 +2ac = 0 ( proved )

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Answer 2

Step-by-step explanation:

if sin (teta) and cos ( teta) are the roots of the equation ax2- bx c=0, then a correct statement is?

Ans: By substituting sin theta and cos theta

a(sin theta)²-b(cos theta)+c =0 is the correct statement.

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