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The point (4,3) is translated to the po...

The point (4,3) is translated to the point (3,1) and then the axes are rotated through an angle of `30^(@)` about the origin,then the new coordinates of the point
`((1)/(sqrt(2)),(sqrt(3)-1)/(2))`,
`((sqrt(3)+2)/(2),(2sqrt(3)+1)/(2))`,
`((sqrt(3))/(2),(2sqrt(3))/(5))`,
`((sqrt(3)+2)/(2),(2sqrt(3)-1)/(2))`

A

1

B

4

C

`sqrt(2)`

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
D
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ADVANCED MATHS BY ABHINAY MATHS ENGLISH-TRIGONOMETRY -EXERCISES (Multiple Choice Questions)
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  2. (2cos40^(@)-cos20^(@))/(sin20^(@))=?

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  3. The point (4,3) is translated to the point (3,1) and then the axes ar...

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  4. (cosx)/(cosy)=n,(sinx)/(siny)=m, then (m^(2)-n^(2))sin^(2)y=?

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  5. If xcostheta+ysintheta=4&xcostheta-ysintheta=0, then which one is corr...

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  6. If tan^(2)theta+cot^(2)theta=14, then sectheta.cosectheta=?

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  7. If cos(alpha+beta)=(4)/(5) and sin(alpha-beta)=(5)/(13) , where alpha ...

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  8. If tantheta-tanphi=xandcotphi-cottheta=y, then cot(theta-phi)=?

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  9. If 3costheta=5sintheta, then ((5sintheta-2sec^(3)theta+2costheta)/(5si...

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  10. sectheta+tantheta=2+sqrt(5), then sintheta will be

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  11. If 3tantheta+4=0 where (pi)/(2)lt thetaltpi, then the value of 2cot th...

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  12. If (1+sinx)/(cosx)+(cosx)/(1+sinx)=4, then find x.

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  13. costheta(tantheta+2)(2tantheta+1)=?

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  14. cos""(pi)/(7)+cos""(2pi)/(7)+cos""(3pi)/(7)+cos""(4pi)/(7)+cos""(5pi)/...

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  15. (1-tan A)/(1+tan A)= (tan3^@ tan15^@ tan30^@ tan75^@ tan87^@)/(tan27^@...

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  16. If (1+sinx)/(cosx)+(cosx)/(1+sinx)=4, then find x.

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  17. If cosectheta-sintheta=mandsectheta-costheta=n, then (m^(2)n)^((2)/(3)...

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  18. If sinA+sinB=C,&cosA+cosB=D, then sin(A+B)=?

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  19. If sinA=(1)/(sqrt(10))andsinB=(1)/(sqrt(5)), where A and B are positiv...

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  20. cos^(2)48^(@)-sin^(2)12^(@)=?

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