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CBSE Class 10 Answered

If the roots of the quadratic equation ax2 +bx + c are sin α and cos α, then a2 + b2 = c2 a2  - 2bc = b2 b2 + 2ac = a2 b2 - 2ac = a2  
Asked by miniprasad | 21 Sep, 2018, 19:31: PM
answered-by-expert Expert Answer
ax2 +bx + c = 0
According to the question,
sin α + cos α = -b/a and sin α cos α = c/a

using 
(sin α + cos α)2 = b2 / a2
sin2 α + cos2 α + 2sinα cosα = b2 / a2
1 + 2c/a = b2 / a2
solving it further we get
b2 - 2ac = a2
Answered by Sneha shidid | 25 Sep, 2018, 11:18: AM

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