Let \( \alpha \) and \( \beta \) be theroots of the equation \( x^{2}-x-1=0 \). If \( p_{k}= \) ...

Channel:
PW Solutions
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=7mWSxaq3X3c


Category:
Let's Play
Duration: 9:10
2 views
0

Let \( \alpha \) and \( \beta \) be theroots of the equation \( x^{2}-x-1=0 \). If \( p_{k}= \) \( (\alpha)^{k}+(\beta)^{k}, \mathrm{k} \geq 1 \),then which one of the following statements is not true?
(a) \( p_{5}=p_{2} \cdot p_{3} \)
(b) \( p_{3}=p_{5}-p_{4} \)
(c) \( \left(p_{1}+p_{2}+p_{3}+p_{4}+p_{5}\right)=26 \)
(d) \( p_{5}=11 \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2023-07-03Comprehension Consider the inequality \( 9^{x}-a 3^{x}-a+3 \leq 0 \), where a is real parameter....
2023-07-03Comprehension \( +9=0 \). Consider the equation \( x^{4}-\lambda x^{2} \) If the equation has no...
2023-07-03Comprehension \( +9=0 \). Consider the equation \( x^{4}-\lambda x^{2} \) If the equation has 4 ...
2023-07-03In vertices of \( \triangle A B C \) lie on \( y=f(x)=a x^{2}+b x+c \). The \( \triangle A B C \...
2023-07-03Comprehension Consider the inequality \( 9^{x}-a 3^{x}-a+3 \leq 0 \), where a is real parameter....
2023-07-03Consider an unknown polynomial which when divided by \( (x-3) \) and \( (x-4) \) leaves remainde...
2023-07-03In vertices of \( \triangle A B C \) lie on \( y=f(x)=a x^{2}+b x+c \). The \( \triangle A B C \...
2023-07-03Consider an unknown polynomial which when divided by \( (x-3) \) and \( (x-4) \) leaves remainde...
2023-07-03For the quadratic polynomial \( f(x)=4 x^{2}-8 k x+k \), the statements which hold good are (a) ...
2023-07-03If \( a \) and \( b \) are two numbers such that \( a^{2}+b^{2}=7 \) and \( a^{3} \) \( +b^{...
2023-07-03Let \( \alpha \) and \( \beta \) be theroots of the equation \( x^{2}-x-1=0 \). If \( p_{k}= \) ...
2023-07-03Consider an unknown polynomial which when divided by \( (x-3) \) and \( (x-4) \) leaves remainde...
2023-07-03If the quadratic equation \( a x^{2}+b x+c=0(a0) \) has \( \sec ^{2} \) and \( \operatorname{cos...
2023-07-03If \( f(x)=\left(\sin ^{-1} x\right)^{2}+\left(\cos ^{-1} x\right)^{2} \), then (a) \( f(x) \) h...
2023-07-03If \( \alpha, \beta \) are the roots of the equation \( 6 x^{2}+11 x+3=0 \), then - (a) Both \( ...
2023-07-03If the equations \( 4 x^{2}-x-1=0 \) and \( 3 x^{2}+(\lambda+\mu) x+\lambda=0 \) have a root com...
2023-07-03If \( \alpha, \beta \) are the roots of the quadratic equation \( a x^{2}+b x+ \) \( c=0 \), the...
2023-07-03If the equation \( a x^{2}+b x+c=0(a0) \) has two real roots \( \alpha \) and \( \beta \) such t...
2023-07-03If \( c \neq 0 \) and the equation \( p /(2 x)=a /(x+c)+b /(x-c) h \) two equal roots, then \( p...
2023-07-03If the equation whose roots are the squares of the roots the cubic equation \( x^{3}-a x^{2}+b x...
2023-07-03The value of \( x \) satisfying the equation \( 2^{2 x}-8 \times 2^{x}=-12 \) is (a) \( 1+\frac{...