If product of the real roots of the equation,
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x^{2}-a x+30=2 \sqrt{\left(x^{2}-a x+45\right)}... VIDEO
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\... 2022-10-28 Statement-1 If the equation \( (4 p-3) x^{2} \) \( +(4 q-3) x+r=0 \) is satisfied by \( x=a, x=b... 2022-10-28 Statement-1 The equation \( x^{2}+(2 m+1) x+(2 n+1)=0 \), where \( m, n \in I \), cannot have an... 2022-10-28 \begin{tabular}{l|l|l|l}
\hline \multicolumn{2}{c|}{ Column I } & \multicolumn{2}{c}{ Column II ... 2022-10-28 Column I contains rational algebraic expressions and Column II contains possible integers which ... 2022-10-28 If \( \alpha, \beta \) be the roots of the equation \( 4 x^{2}-16 x+c=0, c \in R \) such that \(... 2022-10-28 Let \( r, s \) and \( t \) be the roots of the equation \( 8 x^{3}+1001 x+2008=0 \) and if \( 99... 2022-10-28 If the maximum and minimum values of \( y=\frac{x^{2}-3 x+c}{x^{2}+3 x+c} \) are 7 and \( \frac{... 2022-10-28 Let \( a, b, c, d \) are distinct real numbers and \( a, b \) are the roots of the quadratic equ... 2022-10-28 If product of the real roots of the equation,
\[
x^{2}-a x+30=2 \sqrt{\left(x^{2}-a x+45\right)}... 2022-10-28 The harmonic mean of the roots of the equation \( (5+\sqrt{2}) x^{2}-(4+\sqrt{5}) x+8+2 \sqrt{5}... 2022-10-28 If \( \alpha, \beta, \gamma, \delta \) are the roots of the equation \( x^{4}+A x^{3}+B x^{2}+C ... 2022-10-28 The sum of all the real roots of the equation \( |x-2|^{2}+|x-2|-2=0 \) is 2022-10-28 Let \( P \) and \( Q \) be distinct points on the parabola \( y^{2}=2 x \) such that a circle wi... 2022-10-28 Let \( f(x)=x^{2}+b x+c \) and \( g(x)=x^{2}+b_{1} x+c_{1} \).
Let the real roots of \( f(x)=0 \... 2022-10-28 Let \( f(x)=x^{2}+b x+c \) and \( g(x)=x^{2}+b_{1} x+c_{1} \).
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