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The number of the solutions of the equat...

The number of the solutions of the equation `2 sin^(-1) sqrt(x^(2) + x + 1) + cos^(-1) sqrt(x^(2) + x) = (3pi)/(2)` is

A

1

B

0

C

2

D

`oo`

Text Solution

Verified by Experts

The given equation is meaning full is
`0 le sqrt(x^(2)-x+1)le1 x^(2)-xgt0 and 0 le sqrt(x^(2)-xle1)`
`rarr x^(2)-x+1le1 x^(2) -xge0 and x^(2) -xle1`
`rarr x^(2)-x=0 rarr x=0,1`
Clearly these values of x satisfy the given equation
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OBJECTIVE RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS -Section I - Solved Mcqs
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