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Two medians drawn from the acute angles of a right angled triangle intersect at an angle `pi/6dot` If the length of the hypotenuse of the triangle is `3u n i t s ,` then the area of the triangle (in sq. units) is `sqrt(3)` (b) 3 (c) `sqrt(2)` (d) 9

A

3

B

`(3sqrt5)/(2)`

C

`sqrt3`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS ENGLISH-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Single Option Correct Type Questions)
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  3. Two medians drawn from the acute angles of a right angled triangle ...

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  5. Let A=[{:(a,b,c),(p,q,r),(1,1,1):}]and B=A^(2) If (a-b)^(2) +(p-q)^(...

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  6. If in a DeltaABC, the incricle passing through the point of intersecti...

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  7. If two sides of a triangle are roots of the equation x^2-7x+8=0 and th...

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  8. If median AD of a triangle ABC makes angle (pi)/(6) with side BC, then...

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  10. In a triangle with one angle (2pi)/(3), the lengths of the sides form ...

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  11. If the sides of a triangle ABC are in AP and 'a' is the smallest side,...

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  12. The product of the sines of the angles of a triangle is p and the prod...

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  13. Let C be incircle of DeltaABC. If the tangents of lengths t(1),t(2) an...

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  14. If the sine of the angles of DeltaABC satisfy the equation c^(3)x^(3)-...

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  15. In triangle ABC, medians AD and CE are drawn AD = 5, angle DAC = pi//8...

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  16. In a triangle ABC, a ge b ge c. If (a^(3)+b^(3)+c^(3))/(sin ^(3)A +s...

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  17. In a delta ABC, a,c, A are given and b(1) , b(2) are two values of thi...

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  18. In a triangle ABC, if cot A =(x^(3)+x^(2) +x)^(1/2), cot B= (x+x^(-1)+...

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  19. In a Delta ABC, a,b,A are given and c(1), c(2) are two values of the ...

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