If \( S \) is a set of \( P(x) \) is polynomial of degree \( \leq 2...

Channel:
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=cHknjq9Odk0



Duration: 5:52
2 views
0


If \( S \) is a set of \( P(x) \) is polynomial of degree \( \leq 2 \) such that
P \( P(0)=0, P(1)=1, P^{\prime}(x)0, \forall x \in(0,1) \), then [IIT-JEE 2005, 3M]
(a) \( S=0 \)
W
(b) \( S=a x+(1-a) x^{2}, \forall a \in(0, \infty) \)
(c) \( S=a x+(1-a) x^{2}, \forall a \in R \)
(d) \( S=a x+(1-a) x^{2}, \forall a \in(0,2) \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-03-21If \( |r|1 \), then sum of the series \( \frac{1}{1+x}+\frac{2}{1+x...
2023-03-21Let \( S(x)=1+x-x^{2}-x^{3}+x^{4}+x^{5}-x^{6}-x^{7} \) P \( +\ldots...
2023-03-21Let \( \left(a_{1}, b_{1}\right) \) and \( \left(a_{2}, b_{2}\right...
2023-03-21If \( n \) is a positive integer satisfying the equation \( \mathrm...
2023-03-21If one root of \( A x^{3}+B x^{2}+C x+D=0, A \neq 0 \), is the arit...
2023-03-21The sequence \( a_{1}, a_{2}, a_{3}, \ldots \) is a geometric seque...
2023-03-21A. 3-digit palindrome is a 3-digit number (not starting with zero) ...
2023-03-21If the arithmetic progression whose common difference is non-zero, ...
2023-03-21If the coefficient of \( x \) in the expansion of \( \prod_{r=1}^{1...
2023-03-21Let \( a, b, c, d \) be positive real numbers with \( abcd \). Give...
2023-03-21If \( S \) is a set of \( P(x) \) is polynomial of degree \( \leq 2...
2023-03-21If \( n \) is an odd integer greater than or equal to 1 , the value...
2023-03-21\( a b, c \) are three positive numbers and \( a b c^{2} \) has the...
2023-03-21Let \( S_{n}(1 \leq n \leq 9) \) denotes the sum of \( n \) terms o...
2023-03-21If \( x+y+z=a \) and the minimum value of \( \frac{a}{x}+\frac{a}{y...
2023-03-21Suppose the cubic \( x^{3}-p x+q=0 \) has three distinct real roots...
2023-03-21Let \( a, b, c, p, q \) be real numbers. Suppose \( \alpha, \beta \...
2023-03-21How many real solutions does the equation \( \mathrm{P} \) \( x^{7}...
2023-03-21I \( f \alpha, \beta, \gamma, \delta \) are the roots of the equati...
2023-03-21If \( A_{1}, A_{2}, A_{3}, \ldots, A_{n}, a_{1}, a_{2}, a_{3}, \ldo...
2023-03-21If \( \alpha, \beta \) are the roots of \( a x^{2}+b x+c=0 \) and \...



Tags:
pw