Consider the equation \( (1+a+b)^{2}=3\left(1+a^{2}+b^{2}\right) \), where \( a, b \) are real n... VIDEO
Consider the equation \( (1+a+b)^{2}=3\left(1+a^{2}+b^{2}\right) \), where \( a, b \) are real numbers. Then
(a) There is no solution pair \( (a, b) \).
(b) There are infinitely many solution pairs \( (a, b) \).
(c) There are exactly two solution pairs \( (a, b) \).
- (d) There is exactly one solution pair \( (a, b) \).
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-07-03 Number of real roots of the equation \( x^{4}-4 x-1=0 \) has
(a) atmost two positive real root
(... 2023-07-03 The number of real solutions of the equation \( |x|^{2}-3|x|+2=0 \) is (a) 4 (b) 1 (c) 3 (d) 2 2023-07-03 The least value of the expression \( 2 \log _{10} x-\log _{x}(0.01) \), for \( x1 \) is
(a) 10
(... 2023-07-03 If \( \alpha \) and \( \beta \) are the distinct roots of the equation \( x^{2}+3^{1 / 4} x \) \... 2023-07-03 For what integral \( k \) is the inequality \( x^{2}-2(4 k-1) x+15 k^{2} \) \( -2 k-70 \) valid ... 2023-07-03 If the inequality \( \frac{m x^{2}+3 x+4}{x^{2}+2 x+2}5 \) is satisfied for all \( x \in R \), t... 2023-07-03 Solve the equation \( x^{3}-13 x^{2}+15 x+189=0 \), if one root exceeds the other by 2 .
(a) \( ... 2023-07-03 Sum of all the roots of the equation \( x^{2}-2 x+|x-1|-5=0 \) is (a) 0 (b) 2 (c) 1 (d) 5 2023-07-03 If \( \alpha, \beta, \gamma \) are the roots of the equation, \( x^{3}+p x^{2}+q x+r=0 \) then f... 2023-07-03 If \( a \in R \) and the roots of \( x^{2}-2 x-a^{2}+1=0 \) lies between the roots of \( x^{2}-2... 2023-07-03 Consider the equation \( (1+a+b)^{2}=3\left(1+a^{2}+b^{2}\right) \), where \( a, b \) are real n... 2023-07-03 Let \( S \) be the set of all ordered pairs \( (x, y) \) of positive integers satisfying the con... 2023-07-03 If \( \alpha, \beta, \gamma \) are the roots of the equation \( x^{3}+4 x+1=0 \), then find the ... 2023-07-03 Solve \( \left(\frac{x-1}{x+2}\right)^{3}=\frac{x-4}{x+5} \)
(a) \( -\frac{1}{2} \)
(b) \( \frac... 2023-07-03 All the values of \( m \) for which both roots of the equation \( x^{2}-2 m x+m^{2}-1=0 \) are g... 2023-07-03 The real roots of the equation \( \left|x^{2}+4 x+3\right|+2 x+5=0 \) are
(a) \( 4,-1+\sqrt{3} \... 2023-07-03 The minimum value of \( |x|+\left|x+\frac{1}{2}\right|+|x-3|+\left|x-\frac{5}{2}\right| \) is
(a... 2023-07-03 The set of values of \( p \) for which 6 lies between the roots of the equation \( x^{2}+2(p-3) ... 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...