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Statement-I In a DeltaABC if a lt b lt...

Statement-I In a `DeltaABC` if `a lt b lt c ` and `tau` is inradius and `r_(2),r_(2)` are the exradii opposite to angle A,B, C respectively then `r lt r_(1) lt r_(2) lt r_(3)`.
Statement -2 : for DABC, `r_(1)r_(2)+r_(2)r_(3)+r_(3)r_(1)=(r_(1)r_(2)r_(3))/(r)`

A

Statement-1 is True, Statement-2 is True: Statement-2 is a correct explanation for Statement-I

B

Statement-1 is True, Statement-2 is True: Statement-2 is NOT a correct explanation for Statement-I

C

Statement-1 is True, Statement-2 is False

D

Statement-1, is False, Statement-2 is True ,

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-PROPERTIES OF TRIANGLES-LECTURE SHEET EXERCISE - III (Straight Objective Type Question)
  1. If in a triangle PQR , sin P, sin Q, sin R are in A.P., then

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  2. In a traingle ABC,. (r(1)-r)/(a)+(r(2)-r)/(b)+(r(3)-r)/(c)=

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  3. Statement-I In a DeltaABC if a lt b lt c and tau is inradius and r(...

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  4. If R+r=r(3) then C=

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  5. In a DeltaABC if r1=8,r2=12,r3=24 find a,b,c.

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  6. If the angle of tangents from vertices to Incircle are H.P then r(1),r...

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  7. In Delta ABC , if (1- (r1)/(r2)) (1- ( r1)/( r3)) = 2, then the tria...

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  8. In a triangle ABC let angle C=pi//2. If r is the inradius and R is the...

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  9. Statement-I : If side BC and radiu of r(2)a nd r(3) of an acute angled...

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  10. If alpha, beta, gamma are lenghts of internal bisectors of angles A,B,...

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  11. If Delta is the area of a triangle with side lengths a , b , and c , ...

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  12. A circle is inscribed in an equilateral triangle of side a, The area o...

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  13. 3 - Circles with radii a, b, c touch one another externally tangents a...

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  14. Delta^("le") ABC is equilateral triangle of side a.P lies on BA such t...

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  15. A triangle has sides 6,7 and 8. The line through its incentre parallel...

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

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  17. If P(1),P(2),P(3) are altitudes of a DeltaABC then show that (1)/...

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

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

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

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