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Let (x,y)be such that sin^(-1)(ax)+cos...

Let (x,y)be such that
`sin^(-1)(ax)+cos^(-1)y+cos^(-1)(bxy)=(pi)/(2)`
If a=1 alnd b=2 then (x,y)lies on

A

`x^(2)+y^(2)=1`

B

`(x^(2)-1)(y^(2)-1)=0`

C

y=x

D

`(4x^(2)-1)(y^(2)-1)=0`

Text Solution

Verified by Experts

If a =1 b=2 then
`sin^(-1)(ax)+cos^(-1)y+cos^(-1)(byx)=(pi)/(2)`
`rarr sin^(-1)x+cos^(-1)y+cos^(-1)(2xy)=(pi)/(2)`
`rarr xy + sqrt(1-x^(2))sqrt(1-y^(2))=2xy`
`rarr x^(2)+y^(2)=1`
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OBJECTIVE RD SHARMA-INVERSE TRIGONOMETRIC FUNCTIONS -Section I - Solved Mcqs
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