Multiple choice

sin a and cosα are the roots of the equation x2-abx+c =0 then/ यदि sinα और cosα समीकरण x2-abx+c=0 के मूल हैं तो -

  1. a2 c2 -2b-1=0

  2. a2 -ac+b2 =0

  3. a2 b2 -2c-1=0

  4. a2 -ab+ac=0
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

If sin α and cos α are roots of x² - abx + c = 0, then by Vieta's formulas: sin α + cos α = ab and sin α × cos α = c. Using sin²α + cos²α = 1, we have (sin α + cos α)² = sin²α + cos²α + 2sin α cos α, so (ab)² = 1 + 2c, which gives a²b² - 2c - 1 = 0. Option C matches this.

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