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ML KHANNA-THEORY OF QUADRATIC EQUATIONS -Problem Set - 2
- If the roots of the equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal, sho...
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- If a, b, c are in H.P., then the equation a(b-c) x^(2) + b(c-a)x+c(a-b...
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- Suppose A, B, C are defined as A = a^(2)b + ab^(2) - a^(2)c - ac^(2), ...
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- If a ,b ,c ,d are four consecutive terms of an increasing A.P., then t...
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- If a,b,c in Q, then roots of the equation (b+c-2a) x^(2)+(c+a-2b) x+(a...
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- If (a+b+c=0, find the nature of the roots of ttie equation (c^2-ab)x...
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- If a + b + c = 0 and a ne c then the roots of the equation (b + c - a)...
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- If the roots of the equation (x-b) (x-c) + (x-c) (x-a) + (x-a) (x-b)=0...
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- If the expression x^(2)-2 (Sigma a) x+3 Sigma ab=0 be a perfect square...
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- If a,b and c are real numbers then the roots of the equation (x-a)(x-b...
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- If three distinct positive numbers a, b, care in H.P.,then the equatio...
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- Find the condition if the roots of a x^2+2b x+c=0a n db x^2-2sqrt(a c ...
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- if a lt c lt b, then check the nature of roots of the equation (a ...
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- The value of m for which the equation x^(3)-mx^(2)+3x-2=0 has two root...
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- If a in Z and the equation (x-a) (x-10) +1=0 is integral roots, then t...
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- The equation (6-x)^(4)+(8-x)^(4)=16 has
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- If x^(2)+x+1 is a factor of ax^(3)+bx^(2)+cx+d, then the real root of ...
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- Let f(x) = ax^(3) + 5x^(2) - bx + 1. If f(x) when divide by 2x + 1 lea...
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- If x^3+3x^2-9x=c is of the form (x-alpha)^2(x-beta) , then c is equal ...
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- If the two roots of the euqation (lamda-1) (x^(2)+x+1)^(2)-(lamda+1)(x...
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