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In Delta ABC , if (1- (r1)/(r2)) (1- ( ...

In ` Delta ABC , if (1- (r_1)/(r_2)) (1- ( r_1)/( r_3))` = 2, then the triangle is

A

isosceles

B

Equilateral

C

Right angled

D

Scalene

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-PROPERTIES OF TRIANGLES-LECTURE SHEET EXERCISE - III (Straight Objective Type Question)
  1. In a DeltaABC if r1=8,r2=12,r3=24 find a,b,c.

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

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

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

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

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

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

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

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  9. 3 - Circles with radii a, b, c touch one another externally tangents a...

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

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

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

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

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

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

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

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

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

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

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

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