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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- Find the greatest value of a non-negative real number lambda for which...
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- If a ,b ,c in R such that a+b+c=0a n da!=c , then prove that the root...
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- Evaluate: i^(135) (-sqrt(-1))^(4n+3),n in N sqrt(-25)+3sqrt(-4)+...
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- If the equation (a-5)x^2+2(a-10)x+a+10=0 has roots of opposite sign, t...
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- If alphaa n dbeta are the roots of ax^2+bx+c=0a n dSn=alpha^n+beta^n,...
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- If alpha is a root of the equation 4x^2+2x-1=0, then prove that 4alp...
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- If both the roots of x^2-a x+a=0 are greater than 2, then find the val...
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- If (y^2-5y+3)(x ^2+x+1)<2x for all x in R , then find the interval in...
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- Find the values of 'a' which 4^t-(a-4)2^t+9/4alt0,foralltin(1,2)
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- Find the number of positive integral values of k for which kx ^(2) +(k...
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- If x^2+2ax+a lt 0 AA x in [1, 2] then find set of all possible values ...
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- Given that a ,b ,c are distinct real numbers such that expressions a x...
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- Find the number of quadratic equations, which are unchanged by squarin...
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- Solve the following: (sqrt(x^2-5x+6)+sqrt(x^2-5x+4))^(x/2)+(sqrt(x^2-...
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- Show that the equation A^2/(x-a)+B^2/(x-b)+C^2/(x-c)+.....+H^2/(x-h)=...
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- Find the values of a if x^2-2(a-1)x+(2a+1)=0 has positive roots.
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- If alphaa n dbeta,alphaa n dgamma,alphaa n ddelta are the roots of th...
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- If alphabeta the roots of the equation x^2-x-1=0 , then the quadratic...
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- If a(p+q)^2+2b p q+c=0 and a(p+r)^2+2b p r+c=0 (a!=0) , then which one...
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- If alpha1,alpha2 are the roots of equation x ^2-p x+1=0a n dbeta1,bet...
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