Question

2
4. If f (x) = cos (log x), then f (x²) f(y2)
+ f (x2 y2) has the value
2.
(a) -2
(b) - 1
(c) 1/2
(d) none of these​

Answer 1

Answer:

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Asked on December 26, 2019 byPratibha Communications

If f(x) is the polynomial of degree 4 with leading co efficient one satisfying f(1) = 1 , f(2) =2 , f(3) =3 then [f(0)+f(4)f(−1)+f(5)]

A

0

B

2

C

1

D

−1

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ANSWER

f(x)=x for x∈1,2,3

f(x)−x=0 for x∈1,2,3

∴f(x)−x=(x−1)(x−2)(x−3)f(x)=(x−1)(x−2)(x−3)+xf(−1)=−25f(5)=29f(0)=−6f(4)=10f(0)+f(4)f(−1)+f(5)=−6+10−25+29=44=1

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