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HIMALAYA PUBLICATION-QUADRATIC EQUATIONS AND EXPRESSION-Question Bank
- If a, b, c are real, c ge 0 and a x^(2)+b x+c=0 has no real roots, the...
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- The value of p for which the sum of the squares of the roots of 2 x^(2...
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- If alpha, beta are the roots of lambda(x^(2)+x)+x+5=0 and lambd...
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- If the roots of the equation x^(2)-b x+c=0 be two eanseeutive integers...
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- If one root of (a^(2)-5 a+3) x^(2)+(3 a-1) x+2=0 is twice the other th...
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- The equation (cos beta-1) x^(2)+(cos beta) x+sin beta=0 in the variabl...
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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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