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HIMALAYA PUBLICATION-QUADRATIC EQUATIONS AND EXPRESSION-Question Bank
- If the product of the roots of the equation x^(2) - 3kx + 2e^(2 log k)...
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- Let a, b,c in R and a ne 0. If alpha is a root of a^(2) x^(2) + bx + c...
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- If alpha and beta the roots of x^(2) + px + q = 0 and alpha^(4), beta...
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- The set of values of p for which the roots of the equation 3 x^(2)+2 x...
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- Let alpha and beta be the roots of the equation x^(2)+x+1=0 . The equa...
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- If p,q,r are in A.P. and are positive, the roots of the quadratic equa...
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- The sum of real roots of the equation |x-2|^(2)+|x-2|-2=0 is
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- In a triangle PQR, /R = pi//2, If tan(P//2). and tan(Q//2) are the roo...
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- If the roots of the equation x^(2) - 2ax + a^(2) + a - 3 = 0 are real ...
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- If b ge a, then the equation (x-a)(x-b)-1=0 has
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- For the equation 3 x^(2)+p x+3=0, p gt 0, if one root is square of the...
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- If x^(2)+(a-b) x+(1-a-b)=0, a, b in R has unequal roots for all values...
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- If one root of the equation x^(2) + px + q = 0 is square of the other...
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- If x^(2)+2 a x+(10-3 a) gt 0 for all x, then
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- Let f(x)=a x^(2)+b x+c, a ne 0 and Delta=b^(2)-4 a c . If alpha+beta, ...
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- Let a,b,c be the sides of a triangle no two of them are equal and la...
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- If alpha, beta are the roots of the equation x^(2)+x+1=0, then the equ...
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- Let alpha,beta be the roots of the equation x^(2)-px+r=0 and (alpha)/...
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- The smallest value of k for which both the roots of the equation x^(2)...
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- The minimum positive value of (x^(2)+2 x+4)/(x+2) is
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