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- If alpha,beta are the roots of x^2+p x+q=0a n dgamma,delta are the roo...
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- Number of real solution of (x-1)(x+1)(2x+1)(2x-3)=15 (1) is
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- if 2 = I sqrt3 be a root of the equation x^(2) + px + q =0, where p ...
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- The number of solutions of sqrt(3x^(2)+x+5)=x-3 is
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- The number of solutions of sqrt(4 - x) + sqrt(x + 9) = 5" " (1) i...
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- Suppose a in R and alpha, beta are roots of x^(2) +4 ax + 5 a^(2) - 6a...
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- Find the value of a for which one root of the quadratic equation (a^2-...
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- The range of the function f(x)=(x^2+x+2)/(x^2+x+1),x in R , is (1,oo)...
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- If f(x)=x^(2)+2bx+2c^(2)and g(x)=-x^(2)-2cx+b^(2), such that minf(x)gt...
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- If a,b are roots of the equation x^2 + qx + 1 = 0 and c,d are roots of...
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- Solve for x: 4^(x) - 3^(x-1/2)=3^(x+1/2)-2^(2x-1).
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- If x^2+2ax+10-3a gt0 for all x in R then
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- The number of solutions of sqrt(x +1) - sqrt(x - 1) = 1" " (x in ...
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- If a, b, c are real and a!=b, then the roots ofthe equation, 2(a-b)x^2...
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- Let a gt 0, b gt 0 and c lt0. Then, both the roots of the equation ax^...
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- both roots of the equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are
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- If the roots of the equation (4a - a^(2) - 5) x^(2)- (2a - 1) x + 3a =...
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- Let alpha,beta be the roots of the equation ax^2+bx+c=0. A root of the...
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- If P(x)=ax^2+bx+c, Q(x)=-ax^2+dx+c where ac!=0 then P(x).Q(x)=0 has
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- If the product of the roots of the equation x^(2) - 5 kx + 2e^(4"Ink")...
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