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HIMALAYA PUBLICATION-QUADRATIC EQUATIONS AND EXPRESSION-Question Bank
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- Let alpha, beta the roots of the equation (x - a) (x - b) = c , c ne...
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- If a le b le c le d then the equation (x-a)(x-c)+2(x-b)(x-d)=0 has
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- Both the roots of the equation : (x - b) (x -c) + (x - c) (x - a) +...
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- If one root of the equation (a-b) x^(2)+a x+1=0 is double the other an...
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- If alpha,beta be the roots of x^(2)+x+2=0 and gamma, delta be the root...
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- The expression a (x^(2)-y^(2))-b x y admits two linear factors for
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- If one root of x^(2)-x-k=0 is square of the other, then k=
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- The value of p for which the difference between the roots of the equat...
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- If one root of the equation ax^(2) + bx + c =0 is reciprocal of the o...
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- If one root of the equation 5 x^(2)+13 x+k=0 is reciprocal of other, t...
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- Let f(x)=a x^(2)+b x+c, a, b, in R, a neq 0 satisfying f(1)+f(2)=0 . T...
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- If the roots of a x^(2)+b x+c=0(a ge 0) be each greater than unity, th...
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- If a in Z and the equation (x-3)(x-a)+1=0 has integral roots, then the...
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- If the equations x^(2)+b^(2)=1-2b x and x^(2)+a^(2)=1-2 a x have one a...
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- The number of values of a such that x^(2)-11 x+a and x^(2)-14 x+2 a ha...
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- If the equations a x^(2)+2 b x+c-0 and a x^(2)+2 c x+b=0, b ne c have ...
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- If the equations x^(2)+a x+b=0 and x^(2)+b x+a=0(a ne b) have a common...
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- If x^(2)-p x+q=0 has equal integral roots, then
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- Find the condition that quadratic equations x^(2)+ax+b=0 and x^(2)+bx+...
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