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If p(1), p(2), p(3) are respectively the...

If `p_(1), p_(2), p_(3)` are respectively the perpendiculars from the vertices of `Delta ABC` to the opposite sides, then
`p_(1) , p_(2), p_(3) = `

A

`(abc)/(8 R^(2))`

B

`(a^(2)b^(2)c^(2))/(8 R^(2))`

C

`(a^(2)b^(2)c^(2))/(8 R^(3))`

D

`(a^(3)b^(3)c^(3))/(8 R^(3))`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-PROPERTIES OF TRIANGLES-LECTURE SHEET EXERCISE - III (Straight Objective Type Question)
  1. If P(1),P(2),P(3) are altitudes of a DeltaABC then show that (1)/...

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  2. If p(1), p(2), p(3) are respectively the perpendiculars from the verti...

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  3. If p(1), p(2), p(3) are respectively the perpendiculars from the verti...

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  4. The legs of a right triangle are a and b the linc segment of length d ...

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  5. The length of medians of a Delta^("le") ABC are 6, 8 , 10 then its ar...

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  6. In DeltaABC if r(1)=2r(1)=3r(3) and D is the mid point of BC then cos ...

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  7. In DeltaABC, if a=7 b=8, c=9 then the distance from the vertex B to th...

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  8. In triangle ABC, medians AD and CE are drawn. If AD = 5, angle DAC = p...

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  9. If the median of DeltaABC through A is perpendicular to AB then tan A+...

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  10. Let l(1), l(2), l(3) be the lengths of the internal bisectors of angle...

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  11. In trianle ABC, CD is the bisector of the angle C. if cos . C/2 = 1/3 ...

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  12. If AD, BE , CF are internal bisectors of the angles of Delta ABC, " th...

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  13. If two shorter sides of a triangle measure 9 and 18. If the internal a...

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  14. The internal angular bisectors of angles of a Delta^("le") ABC meets c...

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  15. In a triangle ABC bisector of lfloor C meets the side AB at D and circ...

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  16. In Delta ABC , the median AD divides angle BAC such that angle BAD : ...

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  17. In a triangle ABC, the median to the side BC is of length 1/sqrt(11 - ...

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  18. If AD, BE and CF are the medians of a triangle ABC, then AD^(2) + BE^(...

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  19. If in a triangle PQR , sin P, sin Q, sin R are in A.P., then

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  20. In DeltaABC, AD is the altitude from A, if b gt c, C=23^(0), AD=(abc)/...

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