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In DeltaABC, /ABC=60^(@) and AD is perpe...

In `DeltaABC, /_ABC=60^(@)` and AD is perpendicular from A to BC . If AB=`x` and `AC=(3x)/(2)` the AD is equal to which of the following ?

A

a)`(x)/(2)`

B

b)`sqrt((3)/(2))x`

C

c)`(3x)/(sqrt(2))`

D

d)`(3sqrt(3)x)/(4)`

Text Solution

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The correct Answer is:
B
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LUCENT PUBLICATION-TRIGONOMETRIC RATIO OF SPECIFIC ANGLES-Exercise 10A
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  3. In DeltaABC, /ABC=60^(@) and AD is perpendicular from A to BC . If AB=...

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  4. If 0^(@)lethetale90^(@) then for any value of theta which one is corre...

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  5. If 0^@ lt theta lt 90^@, then the value of sin theta + cos theta is

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  6. If sin theta+cosec theta=2 then value of sin^(4)theta+cos^(4)theta ?

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  7. If sec theta = (13)/( 5) , then what is the value of (2 sin theta - ...

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  8. If 0^(@)lexle90^(@) and sinx+sqrt(3)cosx=1 , then what is the value of...

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  9. In a right angled DeltaABC if /B=90^(@),AC=2sqrt(5) and AB-BC=2 then w...

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  10. Statement (A) : If tantheta+cottheta=2 , then for all n epsilon N, tan...

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  11. What is the value of expression cos^(2)((pi)/(8))+4cos^(2)((pi)/(4))-s...

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  12. If qcosectheta=p and theta is acute then value of (sqrt(p^(2)-q^(2)))t...

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  13. If 2x^(2)cos 60^(@)-4cot^(2)45^(@)-2tan 60^(@)=0, then what is the val...

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  14. If 13 cos theta=12k-5 where 0lethetale90^(@) and k is an integer then ...

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  15. Statement (A) : tan50^(@)gt1 Reason (R ) : For 0^(@)ltthetalt90^(@),...

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  16. Which one of the following is true ?

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  17. (kcosec^(2)30^(@).sec^(2)45)/(8cos^(2)45^(@).sin^(2)60^(@))=tan^(2)60^...

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  18. If sinalpha+cosbeta=2(o^(@)lebetaltalphale90^(@)) , then sin((2alpha...

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  19. Find the value of cot10^(@).cot20^(@).cot60^(@).cot70^(@).cot80^(@).

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  20. If tantheta=1, then the value of (8sintheta+5cos theta)/(sin^(3)thet...

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