1.

Match the following lists and then choose the correct code.

Answer»

`{:(a,b,c,d),(q,s,R,p):}`
`{:(a,b,c,d),(p,s,r,s):}`
`{:(a,b,c,d),(q,s,p,s):}`
`{:(a,b,c,d),(s,p,q,r):}`

Solution :p. `y=tanx=(1)/(x^(2))`
From the graph, it is clear it will have two real roots.

q. SEE the graphs of `y=2^(cosx) and y=|sinx|.`Two curves meet at four points for ` x in [0, 2pi].`

So, the equation `2^(cosx)=|sinx|` has four solutions.
r.Given that `f(|x|)-0` has 8 real roots or `f(x)=0` has four positive roots.
Since `f(x)` is a polynomialof degree `5, f(x)` cannot have even number of real roots.
Hence, `f(x)` has all the five roots real and ONE root is negative.
s.`7^(|x|)(|5-|x|)=1.`
`or|5-|x||=7^(-|x|)`
Draw the graph of `y=7^(-|x|) and y=|5-|x||.`

From the graph, the number of roots is 4.


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