Question

the number of solutions of sin x= x² – 2x + 5 is​

Answer 1

Step-by-step explanation:

MATHS

The total number of solutions of ln∣sinx∣=−x

2+2x in [− 2π , 2π ] is equal toA1B3C4D6

ANSWER

ln∣sinx∣=−x(x−2)

To find the number of solutions, let us consider the graphs of the L.H.S and R.H.S

At x=− 2, L.H.S=0|sinx| ≤1. Hence, L.H.S≤0

The L.H.S is discontinuous at x=0. 

For x>0, the L.H.S is negative. At x= 2π, L.H.S=0

The R.H.S is a parabolic expression and 2π <2. Hence, the graph is as shown below.

 

ln∣sinx∣ and y=−x(x−2) meet exactly once in [− 2/π,2/π ] as shown in the graph.

Answer 2

Answer:

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