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The polar coordinates equivalent to (-3,...

The polar coordinates equivalent to `(-3,sqrt3)` are

A

`(2sqrt3,(pi)/(6))`

B

`(-2sqrt3,(5pi)/(6))`

C

`(2sqrt3,(7pi)/(6))`

D

`(2sqrt3,(5pi)/(6))`

Text Solution

Verified by Experts

The correct Answer is:
D
`r=sqrt((x^2+y^2))=sqrt(9+3)=2sqrt3`
`alpha=tan^(-1).|y|/|x|`
`alpha=tan^(-1)((sqrt3)/3)`
`alpha=tan^(-1)((1)/sqrt3)=(pi)/(6)`
Point `(-3,sqrt3)` lies in the second quadrant.
`therefore theta=pi-alpha=pi-(pi)/(6)=(pi)/(6)`
So, polar coordinates are `(2sqrt(3),(5pi)/(2))`.
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CENGAGE-COORDINATE SYSYEM -Exercise (Single)
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  2. Let A-=(3,-4),B-=(1,2)dot Let P-=(2k-1,2k+1) be a variable point such ...

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  3. The polar coordinates equivalent to (-3,sqrt3) are

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  6. In triangle ABC, angle B is right angled, AC=2 and A(2,2), B(1,3) then...

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  7. One vertex of an equilateral triangle is (2,2) and its centroid is (-2...

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  8. ABCD is a rectangle with A(-1,2),B(3,7) and AB:BC=4:3. If P is the cen...

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  9. If (2,-3), (6,-5) and (-2,1) are three consecutive vetcies of a rohomb...

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  10. If A and B are square matrix of same order then (A-B)^(T) is:

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  11. Le n be the number of points having rational coordinates equidistant ...

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  12. Draw a triangle ABC of base BC = 5.6 cm, angle A = 40^(@) and the bise...

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  13. If A(0, 0), B(1, 0) and C(1/2,sqrt(3)/2) then the centre of the circle...

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  14. Statement 1: If in a triangle, orthocentre, circumcentre and centroid ...

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  15. about to only mathematics

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  16. If two vertices of a triangle are (-2,3) and (5,-1) the orthocentre li...

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  17. The vertices of a triangle are (p q ,1/(p q)),(p q)),(q r ,1/(q r)), a...

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  18. If the vertices of a triangle are (sqrt(5,)0) , (sqrt(3),sqrt(2)) , an...

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  19. Two vertices of a triangle are (4,-3) & (-2, 5). If the orthocentre o...

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  20. In A B C , if the orthocentre is (1,2) and the circumcenter is (0, 0)...

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