JEE MATHEMATICS MCQ: FUNCTIONS

1 Medium

1 of 1

Application +4 | -1

Let for

a \neq a_1 \neq 0, \quad f(x)=a x^2+b x+c

g(x)=a_1 x^2+b_1 x+c_1

and

p(x)=f(x)-g(x)

. If

p(x)=0

only for

x=-1

and

p(-2)=2

, then the value of

p(2)

View answer and explanation

Correct option: A

Option A (18) is correct because by using the given information about p(x) and its root, we can determine the quadratic expression and then evaluate p(2).

More Questions from FUNCTIONS

Practice All Chapter MCQs →

f:(-\infty, 2] \longrightarrow(-\infty, 4]

, where

f(x)=x(4-x)

, then

f^{-1}(x)

is given by: If

g(f(x))=|\sin x|

and

f(g(x))=(\sin \sqrt{x})^2

, then Let

f:\left( {2,\;3} \right) \to \left( {0,\;1} \right)

be defined by

f\left( x \right) = x - \left[ x \right]

, then

{f^{ - 1}}\left( x \right)

equals Let

f: R \rightarrow R

be defined as

f(x)=x^4

, Choose the correct answer. Which of the following functions are odd functions Let

f(x)=(x+1)^2-1(x \geq-1)

. Then the set

S=\left\{x: f(x)=f^{-1}(x)\right\}

contains