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The medians AD and BE of the triangle wi...

The medians AD and BE of the triangle with vertices A(0, b), B(0, 0) and C(a, 0) are mutually perpendicular if

A

`b=sqrt(2)a`

B

`a=sqrt(2)b`

C

`b=-sqrt(2)a`

D

`a=-sqrt(b)`

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The correct Answer is:
B
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AAKASH SERIES-STRAIGHT LINES-EXERCISE I
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  6. The equation of the line passing through the point (2, -3) and paralle...

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  7. If (2, 1), (-1, -2), (3, 3) are midpoints of sides BC, CA, AB of Delta...

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  8. The equation of the line perpendicular to the line x = 3 and passing t...

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  9. The equation of the line passing through the (2,3) and perpendicular t...

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  10. If the equation (a(1)-a(2))x+(b(1)-b(2))y=c represents the perpendicul...

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  12. In a rhombus ABCD the diagonals AC and BD intersect at the point (3, 4...

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  13. The equation of the straight line whose slope is 4 and y-intercept is ...

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  14. The equation of the straight line whose inclination is (pi)/4 and x-in...

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  15. The equation of a straight line passing through, (3,-1) and having int...

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  16. The intercepts a,b of a straight line on the co ordinate axes are give...

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  17. A straight line passes through the fixed point [1/k,1/k]. The sum of ...

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