If \( a x^{2}+b x+c=0 \) and \( b x^{2}+c x+a=0 \) have a common root and \( a \neq 0 \) then \(... VIDEO
If \( a x^{2}+b x+c=0 \) and \( b x^{2}+c x+a=0 \) have a common root and \( a \neq 0 \) then \( \frac{a^{3}+b^{3}+c^{3}}{a b c}= \)
(a) 1
(b) 2
(c) 3
(d) 9
π²PW App Link - https://bit.ly/YTAI_PWAP
πPW Website - https://www.pw.live
Other Videos By PW Solutions 2023-07-03 If \( x \) satisfies \( |x-1|+|x-2|+|x-3| \geq 6 \) then
(a) \( 0 \leq x \leq 4 \)
(b) \( x \leq... 2023-07-03 Sum of the roots of the equation \( (x-2)^{2}-2|x-2|-15=0 \) is (a) 4 (b) 0 (c) -4 (d) 8 2023-07-03 If \( \alpha, \beta \) are the roots of \( x^{2}-(a-2) x-(a+1)=0 \) where \( a \) is a variabl... 2023-07-03 If \( x^{2}+\frac{1}{x^{2}}=A \) and \( x-\frac{1}{x}=B(|x|1) \) then least value of \( \frac{A}... 2023-07-03 The equation \( (\cos p-1) x^{2}+(\cos p) x+(\sin p)=0 \) in the variable \( x \) has real roots... 2023-07-03 If \( a \) and \( b(\neq 0) \) are the root of the equation \( x^{2}+a x+b=0 \) then the least v... 2023-07-03 If the equation \( a x^{2}+2 b x-3 c=0 \) has non real roots and \( \frac{3 c}{4}a+b \) then \( ... 2023-07-03 If the equation \( a x^{2}+2 b x+3 c=0 \) and \( 3 x^{2}+8 x+15=0 \) have a common root where \(... 2023-07-03 The greatest negative integer satisfying \( x^{2}+4 x-770 \) and \( x^{2}4 \) is
(a) -1
(b) -2
(... 2023-07-03 The solution set contained in \( R \) of the in equation \( 3^{x}+3^{1-x}-40 \) is
(a) \( (1,3) ... 2023-07-03 If \( a x^{2}+b x+c=0 \) and \( b x^{2}+c x+a=0 \) have a common root and \( a \neq 0 \) then \(... 2023-07-03 If the difference between the roots of the equation \( x^{2}+a x+ \) \( 1=0 \) is less than \( \... 2023-07-03 The equations \( x^{2}+3 x+5=0 \) and \( a x^{2}+b x+c=0 \) have a common root. If \( a, b, c \i... 2023-07-03 The roots of the equation \( a x^{2}+b x+c=0, a \in R^{+} \), are two consecutive odd positive i... 2023-07-03 If the roots of the quadratic equation \( x^{2}+p x+q \) are \( \tan 30^{\circ} \) and \( \tan 1... 2023-07-03 The number of real solution of the equation \( (9 / 10)^{x}=-3+ \) \( x-x^{2} \) is
(a) 2
(b) 0
... 2023-07-03 If the roots of \( x^{2}-b x+c=0 \) are two consecutive integers then \( b^{2}-4 c= \)
(a) 0
(b)... 2023-07-03 If one root of the equation \( a x^{2}+b x+c=0 \) is the square of the other, then
(a) \( b^{2}+... 2023-07-03 Let \( \alpha, \beta \) are the roots of the equation \( x^{2}-15 x+1=0 \), then the value of \(... 2023-07-03 Let \( \mathrm{A}, \mathrm{G} \) and \( \mathrm{H} \) be the A.M., G.M. and H.M, of two positive... 2023-07-03 Two students while solving a quadratic equation in \( \mathrm{x} \), one copied the constant ter...