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if `rsintheta=(7)/(2) and rcostheta=(7sqrt(3))/(2),` then value of r is
A. 4
B. 3
C. 5
D. 7

1 Answer

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Best answer
Correct Answer - d
`r sin theta=(7)/(2)` .......(i)
`r cos theta=(7sqrt(3))/(2)` .......(ii)
On squaring and adding both equations
`r^(2)sin^(2)theta+r^(2)cos^(2)theta=((7)/(2))^(2)+((7sqrt(3))/(2))^(2)`
`r^(2)(sin^(2)theta+cos^(2)theta)=(49)/(4)+(147)/(4)`
`r^(2)=(196)/(4)=49`
`r=sqrt(49)=7`

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