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Assertion (A) : The radius of the circl...

Assertion (A) : The radius of the circle inscribed in the triangle obtained by joining the middle points of the sides of ` Delta ABC ` is equal to half the radius of incircle of `Delta ABC `
Reason (R ) : In `Delta ABC, D,E,F ` be midpoints of the sides of `Delta ABC , Delta ' , 2s' ` denotes area and perimeter of `Delta DEF " then " Delta ' = Delta//4 and s' =s//2`

A

A is true , R is true and R is correct explanation of A

B

A is true , R is true and R is not correct explanation of A

C

A is true R is false

D

A is false , R is true

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Assertion (A) : The radius of the circle inscribed in the triangle obtained by joining the middle points of the sides of DeltaABC is equal to half the radius of incircle of DeltaABC Reasons (R): In DeltaABC D, E, F be midpoints of the sides of DeltaABC, Delta 2s s denote area and perimeter of DeltaDEF then Delta=Delta//4= and s=s//2

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AAKASH SERIES-PROPERTIES OF TRIANGLES-PRACTICE EXERCISE
  1. In an equilateral triangle ABC, P1 is length of altitude from A ...

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  2. a( r r 1 +r2r3) =

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  3. ( r1+ r2) (r2+r3) (r3+r1) =

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  4. If I1 is the centre of the first escribed circle , then the value ...

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  5. In Delta ABC , if 2R = r1 -r " then " angle A =

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  6. In Delta ABC , if r1= 3 r2 = 10 , r3 = 15, then R =

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  7. In Delta ABC , if r= 1 , r1 =2 r2 =3 , r3 = 6 then a=

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  8. In Delta ABC, if r1= 3 , r2 = 10 , r3 =15 , then c=

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  9. In Delta ABC, a= 26 , b= 30 cos "" C = (63)/( 65) , " then" r1:r2...

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  10. In Delta ABC , (1)/(r^(2)) + (1)/( r1^(2)) +(1)/( r2^(2)) + (1)/(r3^(...

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  11. In Delta ABC, r1 r2 =r r3 =

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

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  13. ( ( 1)/(r1) + (1)/(r2)) ((1)/(r2) +(1)/(r3))( (1)/(r3)+(1)/(r1)) =

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  14. Which of the following statement is true : Statement -I : In Delt...

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  15. If a= 30, b = 18, c = 24 then the descending order of r1, r2,r3 ...

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  16. If a = 18, b=24, c= 30 and if l = r2- r1 , m = r3 - r2 , n= r3 - r1 ...

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  17. Match of the following

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  18. Assertion (A) : The radius of the circle inscribed in the triangle ...

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  19. Assertion (A) : In Delta ABC if angle B = pi//2 then the diameter o...

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  20. If the angles of elevation of the top of a tower from three collinear ...

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