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How many solution of equation x^2+y^2=1?

Q.1.How many solution of equation x^2+y^2=1?

Can you solve NTSE ALGEBRA question

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Special question of sum and product of roots

v     v     Q. (1). If 1,2,3 are the roots of the equation x 3 +ax 2 +bx+c=0 then what is the value of c? Ans. Apply product of roots αβγ= -c/a=- constant term/coefficient of x 3                            1x2x3 =   -c/1 →   6 = -c →   c= - 6 Q.2. If (x+√2) is a factor of kx 2 -√2 x + 1, then what is the value of k? Ans. Putting value of x in given equation so    x+ √ 2=0 then x= - √ 2 →   k (- √ 2) 2 - √ 2 × (-√ 2) +1 = 0                                                  2k+2+1=0         ...