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

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`

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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AAKASH SERIES-PROPERTIES OF TRIANGLES-PRACTICE SHEET (EXERCISE-III) (LEVEL-II) (Straight Objective Type Questions)
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  2. In DeltaABC" prove that " (r(1))/(bc)+(r(2))/(ca)+(r(3))/(ab)=(1)/(r)-...

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

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  4. If r= 2, R = 6 for a right angled triangle then its area is

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  5. Let h(a),h(b) be the lengths of altitude from A and B respectively. If...

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  6. A triangle is inscribed in a circle. The vertices of the triangle divi...

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  7. In a triangle ABCk if 4 Rr "cos" (A)/(2)"cos"(B)/(2)"cos"(C)/(2)

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  8. In DeltaABC, 4R "sin"(A)/(2)"sin"(B)/(2)"sin"(C)/(2)=

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  9. ( a cos A + b cos B + c cos C )/( a +b +c ) =

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  10. r("cot"(A)/(2)"cot"(B)/(2)"cot"(C)/(2))=

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  11. In DeltaABC, if a=26, b=30 conc C=63//65 then r(1):r(2):r(3)=

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  12. In triangle ABC r=(R)/(6) and r(1)=7r. Then the mesaure of angle A=

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  13. In DeltaABC if C=90^(@), 1+sinA-sinB=

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  14. If 3R=4r, then cosA+cosB+cosC=

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  15. In triangle ABc, if A-B=120^(@) and R=8r where R r have their usual m...

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  16. In triangle ABC, base BC and area of triangle D are fixed. Locus of th...

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  17. If alpha,beta,gamma are the lengths of the altitudes of Delta ABC, the...

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  18. If 3, 10 and 15 are the altitudes of a triangle then area of incircle ...

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  19. In a triangle ABC a = 7, b = 8, c = 9 BD is the median and BE is the a...

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  20. If h(1),h(2),h(3) are lengths of altitudes of a Delta^("le")ABC and r ...

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