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If "sin" x = lambda has exactly one solu...

If `"sin" x = lambda` has exactly one solution in `[0, 9 pi//4]` then the number of values of `lambda`, is

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
We observe that the curves `y= "sin" x "and " y = lambda` will intersect exactly at one point if `lambda = 1 "or" lambda = -1.`
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OBJECTIVE RD SHARMA-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Chapter Test
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  11. If the equation "sec" theta + "cosec" theta =c has real roots between ...

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  12. If theta(1), theta(2), theta(3), theta(4) are roots of the equation "s...

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  13. If sin(pi cos theta) = cos(pi sin theta), then of the value cos(th...

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  14. If "tan" (pi "cos" theta) = "cot"(pi "sin" theta), then the value(s) ...

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  15. The general solution of "tan" ((pi)/(2)"sin" theta) ="cot"((pi)/(2)"co...

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  17. The number of roots of the equation x +2"tan"x = (pi)/(2) in the inter...

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  18. If "sin" (pi "cot" theta) = "cos" (pi "tan" theta), "then cosec" 2 the...

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