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Direction (Q. Nos. $25$$-30$) This section contains $6$ questions. When fom $0$ to $9$ (both inclusive).$\newline$$25$ The function $f:[2, \infty) \rightarrow Y$ defined by $f(x)==x^{2}-4 x+5$ is both one-one and onto, if $Y \in[a, \infty)$, then the value of $a$ is$\newline$$26$ If $f(x)=\left(\frac{4 a-7}{3}\right) x^{3}+(a-3) x^{2}+x+5$ is one-one function, where $a \in[\lambda, \mu]$, then the value of $|\lambda-\mu|$ is$\newline$$27$ Let $f$ be a one-one function with domain $\{x, y, z\}$ and range $\{1,2,3\}$. It is given the exactly one of the following statements is true and remaining two are false, $f(x)==x^{2}-4 x+5$$0$, then $f(x)==x^{2}-4 x+5$$1$ is$\newline$$28$. If $f(x)==x^{2}-4 x+5$$2$, number of functions from $f(x)==x^{2}-4 x+5$$3$ to $f(x)==x^{2}-4 x+5$$4$ such that range contains exactly $3$ elements is $f(x)==x^{2}-4 x+5$$5$, then the value of $f(x)==x^{2}-4 x+5$$6$ is$\newline$$29$ If $f(x)==x^{2}-4 x+5$$7$, then $f(x)==x^{2}-4 x+5$$8$ is equal to$\newline$$30$ If $f(x)==x^{2}-4 x+5$$9$ be a polynomial of degree $4$ with leading coefficient $1$ satisfying $Y \in[a, \infty)$$0$, $Y \in[a, \infty)$$1$, where $Y \in[a, \infty)$$2$, then the value of $Y \in[a, \infty)$$3$ is